Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network™

Open Access. Powered by Scholars. Published by Universities.®

Articles 271 - 300 of 2320

Full-Text Articles in Entire DC Network

On Some Characterizations To Nbrulc Class With Hypotheses Testing Application, Walid B. H. Etman, Rashad M. El-Sagheer, Shaban E. Abu-Youssef, Amr Sadek Mar 2022

On Some Characterizations To Nbrulc Class With Hypotheses Testing Application, Walid B. H. Etman, Rashad M. El-Sagheer, Shaban E. Abu-Youssef, Amr Sadek

Applied Mathematics & Information Sciences

In this paper, we investigate the probabilistic characteristics for new better than renewal used in Laplace transform in increasing convex order class, the closure properties under various reliability operations such as convolution, mixture, homogeneous Poisson shock model are studied. A new hypothesis test is constructed to test exponentiality against, based on U-statistic. Pitman’s asymptptic efficiency of the test are studied and compared with other tests. The percentiles of this test statistic are tabulated and the power of the new test statistics are calculated in case of censored and non-censored data. Finally, the right-censored data problem is given in some medical …


An Eoq Model For Items Having Fuzzy Amelioration And Deterioration, Balaji Padhy, P. N. Samanta, S. K. Paikray, U. K. Misra Mar 2022

An Eoq Model For Items Having Fuzzy Amelioration And Deterioration, Balaji Padhy, P. N. Samanta, S. K. Paikray, U. K. Misra

Applied Mathematics & Information Sciences

Due to globalization and modernization, the population of cities is increasing day by day. Also, due to lack of time and work pressure, most of the people living in cities have to depend on different types of food services. To fulfill the requirement of people, the number of hotels, restaurants, and many types of food courts are increasing day by day. All these food-service points mostly depend on chicken, mutton, fish, prawns, and other different types of items that are ameliorating and deteriorating in nature. Keeping this in view, we develop here an inventory model for items that are both …


Machine Learning Technique For Crop Disease Prediction Through Crop Leaf Image, S. Nandhini, K. Ashokkumar Mar 2022

Machine Learning Technique For Crop Disease Prediction Through Crop Leaf Image, S. Nandhini, K. Ashokkumar

Applied Mathematics & Information Sciences

Plant diseases are a huge danger to food security, yet owing to the lack of infrastructure in several regions of the world, timely detection is challenging. Smartphone-assisted detection of disease is now achievable thanks to a combination of rising global smartphone usage & recent advancements in machine vision facilitated by depth learning. They trained a depth convolutional neural network to detect 16 crops & 25 diseases utilizing a public dataset for 64,412 pictures of damaged & normal leaf tissue taken under controlled settings (absence thereof). On the held-out testing set, the training set achieved an accuracy of 99.35 percent, showing …


On The Generalized Laplace’S Equation, Luciano M. Lugo, Juan E. Na ́Poles Valde ́S, Miguel Vivas-Cortez Mar 2022

On The Generalized Laplace’S Equation, Luciano M. Lugo, Juan E. Na ́Poles Valde ́S, Miguel Vivas-Cortez

Applied Mathematics & Information Sciences

In this paper, we study the properties and various results of the generalized Laplace Equation, using a previously defined and studied generalized derivative. We discuss the solution of this mathematical problem with conditions of the Dirichlet type and Neumann type. The results obtained are illustrated using various examples, by modeling the solutions under two variations: that of the kernel used and the order involved.


The Investigation Of Exact Solutions And Conservation Laws Of The Classical Boussinesq System Via The Lie Symmetry Method, M. M. Hassan, A. R. Shehata, M. S. Abdel-Daym Mar 2022

The Investigation Of Exact Solutions And Conservation Laws Of The Classical Boussinesq System Via The Lie Symmetry Method, M. M. Hassan, A. R. Shehata, M. S. Abdel-Daym

Applied Mathematics & Information Sciences

In this paper, by applying the lie symmetry method with the aid of Maple, we study the classical Boussinesq (CB) system to investigate some new exact solutions. Using the infinitesimal generators and the linear combinations of the vector fields to convert the system to ordinary differential equations (ODEs) with a new dependent variable. Also, using the infinitesimal generators we can obtain the adjoint table and the commutator table of lie algebra. We employ the generalized tanh-function method to solve the ODEs. Hence, we obtain various travelling wave solutions for the CB system. We can investigate these solutions by using figures. …


(L,⊗)-Fuzzy (S,T)-Soft Ideal And (L,⊗)-Fuzzy (S,T)-Soft Ideal Base, A. A. Abd El-Latif Mar 2022

(L,⊗)-Fuzzy (S,T)-Soft Ideal And (L,⊗)-Fuzzy (S,T)-Soft Ideal Base, A. A. Abd El-Latif

Applied Mathematics & Information Sciences

The aim of our paper is to introduce the concepts of (L,⊗)-fuzzy (S,T)-soft ideal and (L,⊗)-fuzzy (S,T)-soft ideal base and study many of their characteristics. We point out that every (L,⊗)-fuzzy (S,T)-soft ideal induces in a natural way an (L,⊗)-fuzzy (S,T)-soft co-topology. We prove the existence of the products of (L,⊗)-fuzzy (S,T)-soft ideals. Also, we investigate the image of (L, ⊗)-fuzzy (S, T )-soft ideals.


Higher Order Moments, Cumulants, Spectral And Bispectral Density Functions Of The Ztpinar(1) Process, Mohammed H. El-Menshawy, Abd El-Moneim A. M. Teamah, S. E. Abu-Youssef, Hasnaa M. Faied Mar 2022

Higher Order Moments, Cumulants, Spectral And Bispectral Density Functions Of The Ztpinar(1) Process, Mohammed H. El-Menshawy, Abd El-Moneim A. M. Teamah, S. E. Abu-Youssef, Hasnaa M. Faied

Applied Mathematics & Information Sciences

In this paper, the higher order moments, cumulants, spectral, bispectral and normalized bispectral density functions of zero truncated Poisson first-order integer-valued autoregressive (ZTPINAR(1)) model are calculated. We estimated the spectrum, bispectrum and normalized bispectrum using the smoothed periodogram method with different lag windows. Finally, we used the bispectral density function and normalized bispectral density function in order for studying the linearity of integer valued time series models.


Panel Cointegration Modelling Of Covid-19 Monthly Infected Cases And Deaths, A. Rajarathinam, J. B.Anju Mar 2022

Panel Cointegration Modelling Of Covid-19 Monthly Infected Cases And Deaths, A. Rajarathinam, J. B.Anju

Applied Mathematics & Information Sciences

In this paper, the cointegration relationships between COVID-19 new infection cases and the number of deaths due to COVID-19 in all 37 districts of Tamil Nadu state, India, during the period from July 3, 2020 to March 31, 2021 are investigated based on a panel regression Fully Modified Least Squares method and the Granger causality test.


Fluorescence Spectrum Of A Laser Driven Polar Quantum Emitter Damped By Degenerate Squeezed Vacuum With Finite Bandwidth, Nikolai N. Bogolyubov, Jr., Andrey V. Soldatov Mar 2022

Fluorescence Spectrum Of A Laser Driven Polar Quantum Emitter Damped By Degenerate Squeezed Vacuum With Finite Bandwidth, Nikolai N. Bogolyubov, Jr., Andrey V. Soldatov

Applied Mathematics & Information Sciences

A two-level quantum emitter with broken inversion symmetry driven by external monochromatic high-frequency electromagnetic (e.g. laser) field and damped by squeezed vacuum reservoir with finite bandwidth was studied. The squeezed vacuum field source is assumed to be a degenerate parametric oscillator (DPO). It was shown that low-frequency fluorescence spectrum of the emitter can be effectively shaped by controlling the effective pump amplitude, cavity damping and phase of the squeezing of the vacuum field source.


Approximation Of Functions Belonging To Zygmund Class Associated With Hardy-Littlewood Series Using Riesz Mean, B. P. Padhy, P. Baliarsingh, L. Nayak, H. Dutta Mar 2022

Approximation Of Functions Belonging To Zygmund Class Associated With Hardy-Littlewood Series Using Riesz Mean, B. P. Padhy, P. Baliarsingh, L. Nayak, H. Dutta

Applied Mathematics & Information Sciences

Approximations of functions in the generalized Zygmund class associated with Fourier series have been studied by various researchers. In the present article, we have estimated the degree of approximation of functions of generalized Zygmund class associated with Hardy-Littlewood series using Riesz mean. Our result generalizes the result of Das et al.[2].


New Wave Behaviours Of The Generalized Kadomtsev- Petviashvili Modified Equal Width-Burgers Equation, Karmina K. Ali, Resat Yilmazer, Hasan Bulut, Asif Yokus Mar 2022

New Wave Behaviours Of The Generalized Kadomtsev- Petviashvili Modified Equal Width-Burgers Equation, Karmina K. Ali, Resat Yilmazer, Hasan Bulut, Asif Yokus

Applied Mathematics & Information Sciences

In this article, we applied two different methods namely as the (1/G′ )-expansion method and the Bernoulli sub-equation method to investigate the generalized Kadomtsev-Petviashvili modified equal width-Burgers equation, which is designated the propagation of long-wave with dissipation and dispersion in nonlinear media. To transform the given equation into a nonlinear ordinary differential equation, a traveling wave transformation has been carried out. As a result, we constructed distinct exact solutions like complex solutions, singular solutions, and complex singular solutions. Besides, 2D, 3D, and contour surfaces are illustrated to demonstrate the physical properties of the obtained solutions.


Approximation Of Functions By Lupas-Kantorovich- Stancu Type Operators Based On Polya Distribution, Lakshmi Narayan Mishra, Alok Kumar, Vishnu Narayan Mishra Mar 2022

Approximation Of Functions By Lupas-Kantorovich- Stancu Type Operators Based On Polya Distribution, Lakshmi Narayan Mishra, Alok Kumar, Vishnu Narayan Mishra

Applied Mathematics & Information Sciences

In this paper, we introduce a two parameter generalization of Lupas-Kantorovich operators based on Polya distribution. We obtain the moments of the operators by deriving a recurrence relation and then prove and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function.


On Gru ̈ Ss Type Inequality Involving A Fractional Integral Operator With A Multi-Index Mittag-Leffler Function As A Kernel, Kamlesh Jangid, Sunil Dutt Purohit, Ritu Agarwal Mar 2022

On Gru ̈ Ss Type Inequality Involving A Fractional Integral Operator With A Multi-Index Mittag-Leffler Function As A Kernel, Kamlesh Jangid, Sunil Dutt Purohit, Ritu Agarwal

Applied Mathematics & Information Sciences

Manydisciplinesofpureandappliedmathematicshavefoundfractionalintegralinequalitiestobeoneofthemostsignificant and powerful instruments for their progress. These inequalities get a variety of applications in numerical quadrature, transform theory, probability, and statistical problems, however the most relevant one is determining the uniqueness of fractional boundary value problem solutions. They also offer upper and lower limits for the solutions to the equations above. Among this article, we define an integral inequality of Gru ̈ss type linked to the bounded integrable function associated with the fractional integral operator, which involves the generalized multi-index Mittag-Leffler function as a kernel. Our key finding is of a general nature and may give rise, as a …


On Additive Ρ-Functional Equations Arising From Cauchy-Jensen Functional Equations And Their Stability, Wuttichai Suriyacharoen, Wutiphol Sintunavarat Mar 2022

On Additive Ρ-Functional Equations Arising From Cauchy-Jensen Functional Equations And Their Stability, Wuttichai Suriyacharoen, Wutiphol Sintunavarat

Applied Mathematics & Information Sciences

In this paper, three new ρ–functional equations arising from Cauchy-Jensen functional equations are presented. Their relations with the additive function are obtained, and these ρ–functional equations are solved without any regularity assumptions. Their stability is also carried out in complex Banach spaces.


Some New Hermite-Hadamard, Hermite-Hadamard Fejer And Weighted Hardy Type Inequalities Involving (K − P) Riemann-Liouville Fractional Integral Operator, Ankita Chandola, Ritu Agarwal, Rupakshi Mishra Pandey Mar 2022

Some New Hermite-Hadamard, Hermite-Hadamard Fejer And Weighted Hardy Type Inequalities Involving (K − P) Riemann-Liouville Fractional Integral Operator, Ankita Chandola, Ritu Agarwal, Rupakshi Mishra Pandey

Applied Mathematics & Information Sciences

Hermite Hadamard inequality is of immense importance due to its applications in numerical integration and in providing lower and upper limits of the functions mean value. Hardy type inequalities are useful in technical sciences. Various authors have worked for the improvement and generalizations of these inequalities. In this paper, we obtain certain new Hermite-Hadamard, Hermite- Hadamard Fejer and weighted Hardy type inequalities involving (k − p) Riemann-Liouville fractional integral operator using convex and increasing functions. Some inequalities obtained here would provide the extensions of some already known results.


A Note On The Spectra Of Forward Difference Operator On The Sequence Space L1, L. Nayak, P. Baliarsingh, H. Dutta Mar 2022

A Note On The Spectra Of Forward Difference Operator On The Sequence Space L1, L. Nayak, P. Baliarsingh, H. Dutta

Applied Mathematics & Information Sciences

In this work, we compute the fine spectra of the forward difference operator ∆μ+ on l1, where μ = (μk) is a positive real sequence of non-increasing terms satisfying certain conditions. The point spectrum, the residual spectrum, the continuous spectrum, the spectrum and some fine spectra of the operator ∆μ+ on the Banach space l1 are computed which give a natural modifications of the results obtained in [7] and [11]. In this context, some illustrative examples are also provided.


Fekete-Szego ̈ Inequality And Application Of Poisson Distribution Series For Some Subclasses Of Analytic Functions Related With Bessel Functions, Gangadharan Murugusundaramoorthy, Hemen Dutta Mar 2022

Fekete-Szego ̈ Inequality And Application Of Poisson Distribution Series For Some Subclasses Of Analytic Functions Related With Bessel Functions, Gangadharan Murugusundaramoorthy, Hemen Dutta

Applied Mathematics & Information Sciences

The determination of this current paper is to find certain coefficient estimates, Fekete-Szego ̈ inequality results for a normalized analytic function defined in the open unit disk D = {z : z ∈ C and |z| < 1} by convolution operator with Bessel function. In particular, we derived Fekete-Szego ̈ inequality for a class of functions defined through Poisson distribution.The results presented in this paper would generalize some related works of several earlier authors.


A Generalized Theorem On Double Absolute Factorable Matrix Summability, Smita Sonker, Bidu Bhusan Jena, Rozy Jindal, Susanta Kumar Paikray Mar 2022

A Generalized Theorem On Double Absolute Factorable Matrix Summability, Smita Sonker, Bidu Bhusan Jena, Rozy Jindal, Susanta Kumar Paikray

Applied Mathematics & Information Sciences

In this paper, we generalize a new result on absolute index double matrix summability. Dealing with $|A|_k$-summability, Sava\c{s} and Rhoades [E. Sava\c{s} and B. E. Rhoades, Nonlinear Anal. {\bf 69}, 189--200 (2008)], established a result on absolute indexed double matrix summability of infinite series which was generalized by Jena {\it et al.} [B. B. Jena, S. K. Paikray and U. K. Misra, Tbilisi Math. J. {\bf 11} , 1--18 (2018)], for $|A, \delta|_k$-summability. Here, we derive a new and more generalized result on $|U, \delta, \gamma|_q$-summability. Finally, we also highlight some important new and well-known results in the line of …


Coefficient Estimate Of A Uniform Lipschitz Mapping Failing Fixed Point Property On A Class In The Ko ̈The-Toeplitz Duals For Generalized Cesa`Ro Difference Sequence Spaces, Veysel Nezir, Shilpa Das, Aysun Gu ̈Ven Mar 2022

Coefficient Estimate Of A Uniform Lipschitz Mapping Failing Fixed Point Property On A Class In The Ko ̈The-Toeplitz Duals For Generalized Cesa`Ro Difference Sequence Spaces, Veysel Nezir, Shilpa Das, Aysun Gu ̈Ven

Applied Mathematics & Information Sciences

In 1983, Orhan introduced Cesa`ro Difference Sequence Spaces. Later, various authors generalized them. In this study, we take a generalized Cesa`ro difference sequence spaces and especially we consider their Ko ̈the-Toeplitz Duals. In fact, recalling that Dowling et al. proved that Banach spaces containing isomorphic copies of l1 cannot have the fixed point property for uniform Lipschitz mappings, we work on a well-known invariant mapping defined on a certain class in a Ko ̈the-Toeplitz Dual of a generalized Cesa`ro difference sequence space so that the right shift mapping can be a uniform Lipschitz mapping. For this aim, we find an …


A High Order Accurate Numerical Solution Of The Klein-Gordon Equation, Dursun Irk, Emre Kirli, Melis Zorsahin Gorgulu Mar 2022

A High Order Accurate Numerical Solution Of The Klein-Gordon Equation, Dursun Irk, Emre Kirli, Melis Zorsahin Gorgulu

Applied Mathematics & Information Sciences

In this paper, numerical solution of the nonlinear Klein-Gordon equation is obtained by using the cubic B-spline Galerkin method for space discretization and the finite difference method which is of order four for time discretization. Accuracy of the method is presented by computing the maximum error norm. Robustness of the suggested method is shown by studying some classical test problems.


Solvability For A Differential System Of Duffing Type Via Caputo-Hadamard Approach, Mohamed Bezziou, Zoubir Dahmani, Iqbal Jebril, Meriem Mansouria Belhamiti Mar 2022

Solvability For A Differential System Of Duffing Type Via Caputo-Hadamard Approach, Mohamed Bezziou, Zoubir Dahmani, Iqbal Jebril, Meriem Mansouria Belhamiti

Applied Mathematics & Information Sciences

In this work, we investigate a new sequential coupled differential system of Duffing type. The considered system involves Caputo Hadamard derivatives. Based on both Banach contraction principle and Scheafer fixed point theorems, we establish two results on the existence and uniqueness of solutions for the introduced problem. Some examples are presented to show the validity of our results. To give more interpretation to the examples, we establish a new approximation of Caputo-Hadamard derivative for the case 1 < β < 2. Then, we plot the dynamics of one of the examples in terms of time and space coordinates.


On The Matrix Method Algorithm Of Doubly Heavy Meson To Calculate Masses Spectra, H. I. Alrebdi, Atef Ismail, Asmaa Sayed, M. Allosh Mar 2022

On The Matrix Method Algorithm Of Doubly Heavy Meson To Calculate Masses Spectra, H. I. Alrebdi, Atef Ismail, Asmaa Sayed, M. Allosh

Applied Mathematics & Information Sciences

This work is devoted to propose a new solution to Schro ̈dinger equation into a representation of the kinetic energy operator on a discrete lattice. The matrix method is illustrated by studying stability of some heavy charm mass spectra. Theoretical calculations are in good agreements with newly published experimental data.


A Fitted Operator Method For A System Of Delay Model Of Tumor Cells Dynamics Within Their Micro-Environment, Kolade M. Owolabi, Kailash C. Patidar, Albert Shikongo Mar 2022

A Fitted Operator Method For A System Of Delay Model Of Tumor Cells Dynamics Within Their Micro-Environment, Kolade M. Owolabi, Kailash C. Patidar, Albert Shikongo

Applied Mathematics & Information Sciences

This paper deals with the extension of the dynamics modeling the interaction among transformed epithelial cells (TECs), fibroblasts, myofibroblasts, transformed growth factor (TGF−β), and epithelial growth factor (EGF), in silico, in a setup mimicking experiments in a tumor chamber invasion assay. In the sequel of establishing solution continuously depends on the data and existence of unique solution, we were able to extend the Gronwall’s inequality for linear ordinary differential equations, to the Gronwall’s inequality for linear, delay ordinary differential equations. The method of upper and lower solutions is utilized to present that the equilibrium points are globally stable, whereas, equilibrium …


On The Alpha Power Transformed Quasi Aradhana Distribution: Properties And Applications, Maryam Mohiuddin, R. Kannan, Hatim Solayman Migdadi, Moaiad Khder Mar 2022

On The Alpha Power Transformed Quasi Aradhana Distribution: Properties And Applications, Maryam Mohiuddin, R. Kannan, Hatim Solayman Migdadi, Moaiad Khder

Applied Mathematics & Information Sciences

In this study, a new three-parameter lifetime model is proposed with the purpose to obtain more flexible model in terms of hazard rate function. The new model is called the Alpha Power Transformed Quasi Aradhana distribution. The new model has the advantage of being capable modeling various shapes of failure criteria. The distribution has the ability to model both monotone and non-monotone failure rates. It has been proved from the study that the proposed model provides a better fit to the data having monotone as well as non-monotone behavior. Several statistical properties of the model has been derived such as …


The Quality Of Institutions On Capital Structure: Evidence From Mena Region, Fatma Cherni Mar 2022

The Quality Of Institutions On Capital Structure: Evidence From Mena Region, Fatma Cherni

Applied Mathematics & Information Sciences

We propose the GMM model to analyze the link between the quality of institutions and capital structure in the MENA region for the period 2000 - 2017 of 442 listed companies from ten selected countries. We demonstrate that, with an active and well-developed financial market, it is easier for companies to increase long-term capital and improve companies’ access to long-term debt. By testing the impact of institutional quality, and financial development on capital structure, empirical results show that improving the quality of institutions, strengthening institutional infrastructure can promote the development of finance. We analysed then the mediating effect between leverage …


An Efficient Access Technique Based On Clustering And Resources Sharing For Machine Type Communication Over Lte Network, Mahmoud Abd El-Sattar, Nagwa M. Omar, Hosny M. Ibrahim Jan 2022

An Efficient Access Technique Based On Clustering And Resources Sharing For Machine Type Communication Over Lte Network, Mahmoud Abd El-Sattar, Nagwa M. Omar, Hosny M. Ibrahim

Applied Mathematics & Information Sciences

Machine Type Communication (MTC) over the cellular network plays an important role in many smart applications. Long Term Evolutionary (LTE) network is considered the best cellular network for deploying the MTC devices in remote areas because of its high data rate and wide coverage area. The massive access of the MTC devices over LTE network results in poor network performance due to the high collision rate, high retransmission rate, high overhead, high delay, low throughput, and high power wastage. This paper proposes a new access technique to increase the access performance for MTC over LTE network. It is based on …


(R,S)-Fuzzy G*P-Closed Sets And Its Applications, E. El-Sanowsy, A. Atef Jan 2022

(R,S)-Fuzzy G*P-Closed Sets And Its Applications, E. El-Sanowsy, A. Atef

Applied Mathematics & Information Sciences

In this paper, we introduce and study the new class of (r, s)-fuzzy generalized closed sets called (r, s)-fuzzy g*p-closed and (r,s)-fuzzy g*p-open sets. Also, fuzzy g*p-continuous mappings and fuzzy-T*p axioms in double fuzzy topological spaces in S ̆ostak sense are introduced and characterized.


Some Hermite-Hadamard Weighted Integral Inequalities For (H, M)-Convex Modified Functions, Miguel Vivas-Cortez, Juan E. Na ́Poles Valde ́S, Jose ́ Atilio Guerrero Jan 2022

Some Hermite-Hadamard Weighted Integral Inequalities For (H, M)-Convex Modified Functions, Miguel Vivas-Cortez, Juan E. Na ́Poles Valde ́S, Jose ́ Atilio Guerrero

Applied Mathematics & Information Sciences

In this paper, we establish some new type integral inequalities for differentiable (h,m)-convex modified of the second type functions, using generalized integrals.


Melting Heat Transfer Effects On Flow Of A Micropolar Fluid With Heat Generation(Absorption) In Slip Flow Regime, Shimaa E. Waheed, Ahmed M. Megahed Jan 2022

Melting Heat Transfer Effects On Flow Of A Micropolar Fluid With Heat Generation(Absorption) In Slip Flow Regime, Shimaa E. Waheed, Ahmed M. Megahed

Applied Mathematics & Information Sciences

In this paper, the heat transfer mechanism to the non-Newtonian micropolar slip fluid flow over a stretching sheet in the presence of the melting heat transfer with heat generation(absorption) have been studied. With appropriate dimensionless transformations, the boundary layer equations governing the physical problem are reduced to a system of non-linear ordinary differential equations valid in the melting regime. Solutions of the system are obtained by employing the Chebyshev spectral method. Numerical solutions are obtained for different values of the material parameter, slip parameter, heat generation(absorption) parameter, local Eckret number, melting parameter, microrotation parameter and thermal conductivity parameter. From this …


Some Properties Of The Formal Local Cohomology Module And Application In The Theory Of Graphs, Carlos Henrique Tognon, Radwan A. Kharabsheh Jan 2022

Some Properties Of The Formal Local Cohomology Module And Application In The Theory Of Graphs, Carlos Henrique Tognon, Radwan A. Kharabsheh

Applied Mathematics & Information Sciences

There exists a systematic study of the formal local cohomology modules. In this paper, we discuted and studied about the formal local cohomology module. For the definition of this module is used the definition of the local cohomology module with respect to an ideal, where this module is mencioned in the text. Moreover, we involve the theory of graphs within of such module achieving an application for the edge ideal of a graph.