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2024

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Full-Text Articles in Physical Sciences and Mathematics

Grosafe: In-Classroom Technology-Enabled Solution To Build Societal Resilience Against Child Grooming, Christina Thorpe, Fiona Jennings Dec 2024

Grosafe: In-Classroom Technology-Enabled Solution To Build Societal Resilience Against Child Grooming, Christina Thorpe, Fiona Jennings

Conference Papers

GroSafe is an innovative initiative developed by TU Dublin in partnership with the ISPCC to address the critical issue of child grooming. By leveraging cutting-edge digital technologies, GroSafe focuses on educating children, caregivers, and educators to recognise, report, and prevent grooming behaviours. It integrates a 3D educational gaming environment with adaptive learning tools, enabling safe and effective engagement for children, including those with diverse learning needs. Designed to align with Ireland’s SPHE curriculum, GroSafe empowers schools and communities to tackle grooming through early intervention and resilience building.


Multiple And Nonexistence Of Positive Solutions For A Class Of Fractional Differential Equations With P-Laplacian Operator, Haoran Zhang, Zhaocai Hao, Martin Bohner Dec 2024

Multiple And Nonexistence Of Positive Solutions For A Class Of Fractional Differential Equations With P-Laplacian Operator, Haoran Zhang, Zhaocai Hao, Martin Bohner

Mathematics and Statistics Faculty Research & Creative Works

Research about multiple positive solutions for fractional differential equations is very important. Based on some outstanding results reported in this field, this paper continues the focus on this topic. By using the properties of the Green function and generalized Avery–Henderson fixed point theorem, we derive three positive solutions of a class of fractional differential equations with a p-Laplacian operator. We also study the nonexistence of positive solutions to the eigenvalue problem of the equation. Three examples are given to illustrate our main result.


Reaction Of A Chiral Platinum Triamine Compound With Key Amino Acid And Guanine Analog, Onu Emmanuel Chukwu Dec 2024

Reaction Of A Chiral Platinum Triamine Compound With Key Amino Acid And Guanine Analog, Onu Emmanuel Chukwu

Masters Theses & Specialist Projects

Platinum compounds can exhibit cytotoxic activity through reaction with DNA; however, interaction with proteins and DNA bases, especially with methionine residues and Guanine analogs, is another common biological reaction. Our lab has synthesized Chloro[2-(4-Methyl-1,4- diazepan-1-yl) ethanamine]platinum(II) chloride ([Pt(L)Cl]Cl), which has a tridentate binding mode for the amine ligand. This study focused on the reaction of the chiral platinum triamine with key amino acids (methionine and 2-hydroxybutyric acid) and guanine analogs under different pH and temperature conditions. The mass spectrometry of N-AcMet Interaction with [Pt(L)Cl]+ showed a m/z of 542 and 579 for reactions at pH 4. The m/z of 542 …


Western Australian Soil Groups - A Diagnostic Key To Identify Soils In Western Australia (5th Edition), Paul Galloway, Dennis Van Gool, Angela Stuart-Street, Edward A. Griffin, Shahab Pathan, Noel R. Schoknecht Dec 2024

Western Australian Soil Groups - A Diagnostic Key To Identify Soils In Western Australia (5th Edition), Paul Galloway, Dennis Van Gool, Angela Stuart-Street, Edward A. Griffin, Shahab Pathan, Noel R. Schoknecht

Resource management technical reports

The aim of the Western Australian soil groups (WA soil groups) is to classify soils of Western Australia into a limited set using criteria that are easy to recognise in the field. It is a general-purpose classification with a focus on agronomic and rangeland grazing potential. The WA soil groups are designed for WA needs. It complements the Australian Soil Classification (ASC) by grouping the continuum of soils into a limited set of soil types, which simplifies soil variability for generalists, allows soil surveyors to create standardised soil-type legends for mapping products and permits further analyses of spatial data for …


(R2100) Optimality Conditions Of A Topsis Optimization Model And Its Application On Interval-Valued Data, Sudipta Roy, Sandip Chatterjee Dec 2024

(R2100) Optimality Conditions Of A Topsis Optimization Model And Its Application On Interval-Valued Data, Sudipta Roy, Sandip Chatterjee

Applications and Applied Mathematics: An International Journal (AAM)

The Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is widely used in the field of multi-criteria decision analysis. Despite its popularity and widespread application, little attention has been given to the mathematical foundation that underlies the TOPSIS algorithm. The existing literature on this subject is far from comprehensive, leaving many aspects of the algorithm unexplored. This paper aims to address this gap in the literature by delving into the optimization problem associated with TOPSIS. Unlike traditional interval analysis theory, which only covers a limited scope, our approach extends to a broader range of scenarios and offers …


(R2111) Effect Of Stenotic-Aneurysmal Arterial Regime On Unsteady Magnetohydrodynamic Non-Newtonian Blood Flow With Heat Radiation, Babatunde A. Joseph, Dada M. Sunday, Bello A.J. Funsho, Akeem B. Disu, Alamu-Awoniran F., Danas James Y. Dec 2024

(R2111) Effect Of Stenotic-Aneurysmal Arterial Regime On Unsteady Magnetohydrodynamic Non-Newtonian Blood Flow With Heat Radiation, Babatunde A. Joseph, Dada M. Sunday, Bello A.J. Funsho, Akeem B. Disu, Alamu-Awoniran F., Danas James Y.

Applications and Applied Mathematics: An International Journal (AAM)

The study aims to investigate the effect of magneto-hydrodynamic on a non-Newtonian unsteady blood flow with internal heat energy in the presence of blood ironic properties characterized by stenosis. The formulated mathematical equations resulted in differential forms and were solved analytically by Differential Transform Method. The obtained solutions were displayed by graphs showing different flow physiognomies like blood velocity, temperature profile, Nusselt number, wall shear stress and stream function.

The results indicated that velocity profile increases as magnetic field, Darcy number and aneurysmal artery rise, while it decreases as heat radiation, Reynold number, and Casson parameter speedup. The temperature profile …


Using Llms To Establish Implicit User Sentiment Of Software Desirability, Sherri Weitl-Harms, John D. Hastings, Jonah Lum Dec 2024

Using Llms To Establish Implicit User Sentiment Of Software Desirability, Sherri Weitl-Harms, John D. Hastings, Jonah Lum

Research & Publications

This study explores the use of LLMs for providing quantitative zero-shot sentiment analysis of implicit software desirability, addressing a critical challenge in product evaluation where traditional review scores, though convenient, fail to capture the richness of qualitative user feedback. Innovations include establishing a method that 1) works with qualitative user experience data without the need for explicit review scores, 2) focuses on implicit user satisfaction, and 3) provides scaled numerical sentiment analysis, offering a more nuanced understanding of user sentiment, instead of simply classifying sentiment as positive, neutral, or negative.

Data is collected using the Microsoft Product Desirability Toolkit (PDT), …


Northern Great Plains Native Seed Strategy, Lora Perkins, Amy Symstad, Jennifer Zavaleta-Cheek, Emily Rohrer, Krista Ehlert Dec 2024

Northern Great Plains Native Seed Strategy, Lora Perkins, Amy Symstad, Jennifer Zavaleta-Cheek, Emily Rohrer, Krista Ehlert

Native Plant Initiative Newsletters and Reports

Developed by the Northern Great Plains Native Seed Partnership


A New Reduced Basis Method For Parabolic Equations Based On Single-Eigenvalue Acceleration, Qijia Zhai, Qingguo Hong, Xiaoping Xie Dec 2024

A New Reduced Basis Method For Parabolic Equations Based On Single-Eigenvalue Acceleration, Qijia Zhai, Qingguo Hong, Xiaoping Xie

Mathematics and Statistics Faculty Research & Creative Works

In this paper, we develop a new reduced basis (RB) method, named as Single Eigenvalue Acceleration Method (SEAM), for second order parabolic equations with homogeneous Dirichlet boundary conditions. The high-fidelity numerical method adopts the backward Euler scheme and conforming simplicial finite elements for the temporal and spatial discretizations, respectively. Under the assumption that the time step size is sufficiently small, and time steps are not very large, we show that the singular value distribution of the high-fidelity solution matrix U is close to that of a rank one matrix. We select the eigenfunction associated to the principal eigenvalue of the …


Photogeneration, Characterization, And Kinetic Study Of A New Phthalocyanine Species, Sobenna Onyeso Dec 2024

Photogeneration, Characterization, And Kinetic Study Of A New Phthalocyanine Species, Sobenna Onyeso

Masters Theses & Specialist Projects

In the search for green chemistry, the development of synthetic metal complexes that model enzyme function has been extensively studied. Phthalocyanine metal complexes, closely related to these heme-containing macrocycles, have gained continued interest due to their ease of direct synthesis, efficient redox, and optical properties. Despite the significant progress in phthalocyanine metal complexes, much more work needs to be done in the characterization and identification of their metal-oxo species, as well as mechanistic insights into their catalytic oxidations. To date, the reactivity of metal-oxo species on phthalocyanine platforms has not been probed.

In this study, metal phthalocyanine complexes have been …


Classroom To Console, Ashton Headley Dec 2024

Classroom To Console, Ashton Headley

ART 108: Introduction to Games Studies

In an era where technology is continuously growing and intertwined into daily life, the field of education has seen drastic changes and innovation. Including changes we see today, with the ability to connect to class online, procter tests, submit assignments etc. And amongst these innovations, educational games have surfaced as a resource for helping learners across various age groups. By merging entertainment/gamification with educational content, these games offer an interactive and entertaining approach to acquiring knowledge and learning essential or non-essential skills. Whether it is implemented in classrooms, workplaces, or home settings, educational games are transforming the educational environment effectively …


The Impacts Of Seasonality And Nutrient Loading On Microcystis Bloom Development In Wall Pond, Alyssa Antolak Dec 2024

The Impacts Of Seasonality And Nutrient Loading On Microcystis Bloom Development In Wall Pond, Alyssa Antolak

Bridges: A Journal of Student Research

The harmful cyanobacteria Microcystis dominates eutrophic freshwater systems globally. Eutrophication leading to nitrogen and phosphorus loading into aquatic systems is increasing bloom propagation and shifting diatom/dinoflagellate dominated systems to cyanobacteria dominated systems. Understanding seasonal variability and environmental parameters combined with nutrient loading will allow for better understanding of what factors are influencing Microcystis blooms. Biweekly plankton samples and environmental parameters were collected from Wall Pond on campus from spring 2022-spring 2023. Results show that yearly plankton samples shifted from Microcystis dominated in the early summer to diatom dominated in the late summer-early fall, then back to Microcystis dominated in late …


Are Rising Seas Pushing Ghost Crabs Out Of Their Comfort Zone?, Finn Gillette Dec 2024

Are Rising Seas Pushing Ghost Crabs Out Of Their Comfort Zone?, Finn Gillette

Bridges: A Journal of Student Research

Ghost crabs (Ocypode quadrata) can be found on sandy beaches bordering the western Atlantic Ocean. These semiterrestrial crustaceans are often found between the swash zone and the dunes on beaches. Dunes are critical refuges for ghost crabs during storms and extreme tide events. This makes them a useful indicator species for monitoring the effects of global warming-induced sea level rise on beach biota, as their distribution patterns among beach zones may correlate with shifts found in other species. Beach surveys conducted from 2015 onward assessed the population density of ghost crabs on beaches of Horry and Georgetown counties in South …


Draft Management Plan For The South Coast Scallop Managed Fishery, Department Of Primary Industries And Regional Development, Western Australia Dec 2024

Draft Management Plan For The South Coast Scallop Managed Fishery, Department Of Primary Industries And Regional Development, Western Australia

Fisheries Management Papers

The Minister for Fisheries (Minister) intends to transition the South Coast Trawl Fishery (SCTF) to formal management by determining a management plan for the fishery in accordance with section 54(1) of the Fish Resources Management Act 1994 (FRMA).

Section 54(1) of FRMA provides for the Minister to determine by instrument in writing published in the Government Gazette, a management plan for a fishery. Not less than two months prior to determining a management plan, the Minister must, in accordance with section 64(2) of FRMA, prepare a draft of the plan and by notice in the Gazette, state their intent to …


Curbing Environmental Degradation To Balance Sustainable Development: Evidence From China, Muneza Kagzi, Vishal Dagar, Nadia Doytch, Deepika Krishnan, Manisha Raj Dec 2024

Curbing Environmental Degradation To Balance Sustainable Development: Evidence From China, Muneza Kagzi, Vishal Dagar, Nadia Doytch, Deepika Krishnan, Manisha Raj

Ateneo School of Government Publications

To achieve the goals of sustainable development, it is crucial to check the balance of increased level of international trade along with financial development, foreign direct investment (FDI), energy consumption, and institutional advancement with the quality of the environment. This study focuses on how these variables have caused environmental degradation in China. To achieve Goal 13 of the Sustainable Development Goals (SDGs), i.e. to increase the nation's resilience to natural disasters and hazards related to climate change, to promote climate action and safeguard life as part of sustainable development, this involves the analysis of time-series data sets from 1975 to …


Ethics And Environmental Impact Of Video Games, Anushka Chokshi Dec 2024

Ethics And Environmental Impact Of Video Games, Anushka Chokshi

ART 108: Introduction to Games Studies

As video games grow in popularity, concerns regarding their ethical and environmental implications are brought up. While once, topics like their impact on child development or harm to Earth might have been considered minor or irrelevant, these concerns are now voiced in numerous articles across the internet, amplifying the urgency to develop games in an ethical context before matters are blown out of proportion. For the purposes of exploring both past and present views, this work draws from older and newer sources surrounding many topics on the idea of game development in the video game industry. Essentially, video game development …


Multi-Criteria Decision-Making Approach Based On Correlation Coefficient For Multi-Polar Interval-Valued Neutrosophic Soft Set, Hamza Naveed, Saalam Ali Dec 2024

Multi-Criteria Decision-Making Approach Based On Correlation Coefficient For Multi-Polar Interval-Valued Neutrosophic Soft Set, Hamza Naveed, Saalam Ali

Neutrosophic Systems with Applications

The correlation coefficient between two factors is crucial in statistical computation, indicating the extent and evolution of the appropriate link. The precision of applicability evaluations frequently relies on the thoroughness and caliber of data obtained from a certain dataset. Statistical research sometimes entails data marked by intrinsic trade-offs and uncertainty. This study seeks to present m-polar interval-valued neutrosophic soft sets (mPIVNSSs) through the integration of m-polar fuzzy sets with interval-valued neutrosophic soft sets. The suggested mPIVNSS structure is a significantly generalized version of m-polar neutrosophic soft sets and serves as a substantial extension of interval-valued neutrosophic soft sets. In this …


Neutrosophic Cox Proportional Hazards Model For Robust Variable Selection In Survival Analysis, Ibrahim Yasser, Aya A. Abd El-Khalek, A. A. Salama, Doaa A. Abdo Dec 2024

Neutrosophic Cox Proportional Hazards Model For Robust Variable Selection In Survival Analysis, Ibrahim Yasser, Aya A. Abd El-Khalek, A. A. Salama, Doaa A. Abdo

Neutrosophic Systems with Applications

This paper introduces a novel approach for variable selection in survival analysis by integrating neutrosophic logic into the Cox Proportional Hazards (Cox PH) model to address the limitations of recent studies related to high dimensionality. Neutrosophic logic, is a mathematical framework that allows for uncertainty, indeterminacy, and inconsistency, and particularly well suited for handling the complexity and often-ambiguous nature of biological data. By incorporating neutrosophic sets into the Cox PH model, we aim to enhance model robustness, improve variable selection, and address the curse of dimensionality. We compare the performance of the neutrosophic-enhanced Cox PH model with traditional variable selection …


On Neutrosophic Pδs-Irresolute Functions In Neutrosophic Topological Spaces, Bishnupada Debnath, Anjan Mukherjee Dec 2024

On Neutrosophic Pδs-Irresolute Functions In Neutrosophic Topological Spaces, Bishnupada Debnath, Anjan Mukherjee

Neutrosophic Systems with Applications

In general topology the notion of pds-irresolute and aδs-irresolute functions were introduced by Beceren and Noiri. In the present paper, these concepts of pδs-irresolute (briefly, Npδs-irresolute) and aδs-irresolute (briefly, Naδs-irresolute) functions are explored for the first time in neutrosophic topological spaces (NTS) as generalized version. We proved that every Naδs-irresolute function is Npδs-irresolute function but not conversely. Some characterizations, counter examples, and fundamental features are also presented. By neutrosophic pre-open, neutrosophic δ-open, and neutrosophic δ-semi-open sets, some new fundamental properties of such functions are provided. Furthermore, under Npδs-irresolute functions, the behavior of neutrosophic semi-connected, neutrosophic pre-connected, neutrosophic pre-T2, neutrosophic δ-semi-T2, …


Analysis Of Bck/Bci-Algebras Based On Bipolar Complex Intuitionistic Fuzzy Soft Ideals, Zeeshan Ali Dec 2024

Analysis Of Bck/Bci-Algebras Based On Bipolar Complex Intuitionistic Fuzzy Soft Ideals, Zeeshan Ali

Neutrosophic Systems with Applications

In this article, we design an informative and reliable technique of bipolar complex intuitionistic fuzzy soft sets with numerous operational laws by merging the model of soft sets, complex fuzzy sets, and bipolar intuitionistic fuzzy sets to handle imprecise data. In addition, an ideal in a BCK-algebra is derived based on bipolar complex intuitionistic fuzzy soft set theory are proposed which can capture the information of hesitancy, vagueness, and non-membership information within the circumstance of BCK-algebra. Moreover, we design union, intersection, AND, and OR based on bipolar complex intuitionistic fuzzy soft ideal and simplify it with the help of numerous …


Comparative Analysis Of Multi-Criteria Techniques In Neutrosophic Environment And Their Applications To Economic Condition Assessment, Asmaa Elsayed, Mai Mohamed Dec 2024

Comparative Analysis Of Multi-Criteria Techniques In Neutrosophic Environment And Their Applications To Economic Condition Assessment, Asmaa Elsayed, Mai Mohamed

Neutrosophic Systems with Applications

In economic decision-making, the challenge of evaluating multiple, often conflicting criteria necessitates advanced Multi-Criteria Decision-Making (MCDM) techniques. Traditional methods can struggle with the inherent uncertainty, ambiguity, and imprecision of real-world data. This paper addresses these challenges by investigating the effectiveness of various MCDM techniques within neutrosophic environments, with a particular focus on the Criteria-wise Alternatives Ranking and Correlation Analysis for Composite Scoring (CARCACS) method. Neutrosophic sets, which incorporate truth, falsity, and indeterminacy, provide a robust framework for addressing the vagueness and inconsistencies found in economic indicators such as GDP growth, employment levels, inflation rates, trade balances, investment activity, and government …


Toward An Insider Threat Education Platform: A Theoretical Literature Review, Haywood Gelman, John D. Hastings, David Kenley, Eleanor Loiacono Dec 2024

Toward An Insider Threat Education Platform: A Theoretical Literature Review, Haywood Gelman, John D. Hastings, David Kenley, Eleanor Loiacono

Research & Publications

Insider threats (InTs) within organizations are small in number but have a disproportionate ability to damage systems, information, and infrastructure. Existing InT research studies the problem from psychological, technical, and educational perspectives. Proposed theories include research on psychological indicators, machine learning, user behavioral log analysis, and educational methods to teach employees recognition and mitigation techniques. Because InTs are a human problem, training methods that address InT detection from a behavioral perspective are critical. While numerous technological and psychological theories exist on detection, prevention, and mitigation, few training methods prioritize psychological indicators. This literature review studied peer-reviewed, InT research organized by …


Explainable Ai In Medical Imaging: An Interdisciplinary Translational Approach, Caitlyn Chavez Dec 2024

Explainable Ai In Medical Imaging: An Interdisciplinary Translational Approach, Caitlyn Chavez

Computational and Data Sciences (PhD) Dissertations

Advances in computer vision and image processing have made a clear impact on many fields, from healthcare diagnostics to autonomous driving. However, as these models become more complex, understanding their decision-making processes has grown increasingly challenging, making explainable AI (XAI) a crucial component of modern AI systems. The focus of this work is to integrate these new technologies alongside foundational methods of image processing to create tools that can be used by domain experts who are not programmers. Prior to delving into the projects which investigate these concepts, the methodologies, background, and the overall frameworks are discussed. In the first …


Safeguarding Virtual Healthcare: A Novel Attacker-Centric Model For Data Security And Privacy, Suvineetha Herath, Haywood Gelman, John Hastings, Yong Wang Dec 2024

Safeguarding Virtual Healthcare: A Novel Attacker-Centric Model For Data Security And Privacy, Suvineetha Herath, Haywood Gelman, John Hastings, Yong Wang

Research & Publications

The rapid growth of remote healthcare delivery has introduced significant security and privacy risks to protected health information (PHI). Analysis of a comprehensive healthcare security breach dataset covering 2009-2023 reveals their significant prevalence and impact. This study investigates the root causes of such security incidents and introduces the Attacker-Centric Approach (ACA), a novel threat model tailored to protect PHI. ACA addresses limitations in existing threat models and regulatory frameworks by adopting a holistic attacker-focused perspective, examining threats from the viewpoint of cyber adversaries, their motivations, tactics, and potential attack vectors. Leveraging established risk management frameworks, ACA provides a multi-layered approach …


(R2101) Analysis Of Map/Ph/1 Queueing Inventory System With Two Commodity, Working Vacation, (S, S) Replenishment Policy, Essential And Optional Repair, G. Ayyappan, N. Arulmozhi Dec 2024

(R2101) Analysis Of Map/Ph/1 Queueing Inventory System With Two Commodity, Working Vacation, (S, S) Replenishment Policy, Essential And Optional Repair, G. Ayyappan, N. Arulmozhi

Applications and Applied Mathematics: An International Journal (AAM)

We examine a queueing inventory model with single server which can offer two types of inventory items: main item (commodity I) and complementary item (commodity II). We assume both commodities have a finite capacity Si, i = 1, 2. Customers reach the system by following the Markovian arrival process (MAP). The service times are considered to be phase-type (PH) distribution. We have considered no customer in the system, even inventory level is positive; the server will start the working vacation, and any customer that arrives during working vacation, the server provides slow service. If an item is not available, the …


(R2095) On Discrete Hypoexponential Distribution And Integer-Valued Autoregressive Process, K. Krishnakumari, Dais George Dec 2024

(R2095) On Discrete Hypoexponential Distribution And Integer-Valued Autoregressive Process, K. Krishnakumari, Dais George

Applications and Applied Mathematics: An International Journal (AAM)

Discrete distributions provide a substantive contribution in modeling real world frame work. Though a lot of discrete distributions are available in literature, they are inappropriate to model many practical situations. The conventional discrete distributions like geometric, Negative Binomial and Poisson have limited applications in modeling count and lifetime data. This paper introduces a new two parameter discrete distribution namely, discrete hypoexponential distribution by discretizing the well known hypoexponential distribution. Various distributional and structural properties of the proposed distribution are studied. We introduce a first order auto regressive process with the newly proposed distribution as marginal and study the properties. Depending …


(R2108) Global Asymptotic Stability Analysis Of Discrete Time Population Model With Allee Effect Through Lyapunov Function, Govind Jha, Neeraj Kumar, Sarita Jha Dec 2024

(R2108) Global Asymptotic Stability Analysis Of Discrete Time Population Model With Allee Effect Through Lyapunov Function, Govind Jha, Neeraj Kumar, Sarita Jha

Applications and Applied Mathematics: An International Journal (AAM)

This study explores the idea of stability analysis by using Lyapunov functions in discrete time population models; this work focuses on the nth generation. Further, this investigation aims to extend global stability concepts to discrete-time models and considers the influence of the Allee effect on population dynamics. Mathematical formulations and specific modelling approaches are utilized to investigate the behavior of the population system. The results reveal a larger range of stability in comparison to previous findings, emphasizing the effectiveness of the Lyapunov function approach. Specifically highlighted here are the extension of global stability concepts to the nth generation providing insights …


(R2096) Pbib-Designs Associated With Products Of Graphs, Medha Itagi Huilgol, Vidya M.D Dec 2024

(R2096) Pbib-Designs Associated With Products Of Graphs, Medha Itagi Huilgol, Vidya M.D

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we introduce a design, called “geodetic-design" arising from geodetic sets in a graph. A geodetic-design, over a regular graph is an ordered pair D = (V, B), where V = V (G) and B, the set of all geodetic sets, called blocks, containing vertices belonging to geodetic sets, such that every pair of non-adjacent vertices appears in exactly µ blocks. We first find governing results of a geodetic-design, if it exists, and then get such PBIB-designs for different products of graphs. It is common to have geodetic sets of graphs to be independent sets, hence we extend …


(R2099) Boundedness And Square Integrability In Neutral Differential Equations With Delay And Exponential Stability In Nonlinear Differential Equations Of Third-Order, Fatima Abdellaoui, Mebrouk Rahmane Dec 2024

(R2099) Boundedness And Square Integrability In Neutral Differential Equations With Delay And Exponential Stability In Nonlinear Differential Equations Of Third-Order, Fatima Abdellaoui, Mebrouk Rahmane

Applications and Applied Mathematics: An International Journal (AAM)

The Lyapunov second method is an eigenvalue-based technique which consist of finding a Lyapunov function candidate for studying the stability of dynamical systems which is hard to deal with especially in most of nonlinear cases. Studying the stability and some of other qualitative behaviors based on the Lyapunov second method is research topic of actuality because of the wide range of applications of the differential equations. Many authors in the literature have used the second method of Lyapunov in the study of some qualitative behaviors from which the stability, the boundedness and the square integrability of solutions for various kinds …


(R2090) Analysis Of Heat And Mass Transfer In Mhd Boundary Layer Flow Of Chemically Reacting Fluid, Dharati Sheth, Manisha Patel, Dilip Joshi Dec 2024

(R2090) Analysis Of Heat And Mass Transfer In Mhd Boundary Layer Flow Of Chemically Reacting Fluid, Dharati Sheth, Manisha Patel, Dilip Joshi

Applications and Applied Mathematics: An International Journal (AAM)

Analysis of the effects of heat and mass transfer on the chemically responding boundary layer flow of a Casson fluid across a porous stretched sheet in the existence of a crosswise magnetic field is the aim of the existing work. The partial differential equations that control the current flow problems can be converted into similarity equations by applying the right similarity technique. Our goal is to use the DTM-Pade approximation to analytically solve the derived similarity equations. The transformed similarity equations are a group of nonlinear ordinary differential equations for the present flow problem. The analytical approach of the differential …