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Articles 1 - 10 of 10
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Some Properties Of Bazilevič Functions Involving Srivastava–Tomovski Operator, Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi, Alagiriswamy Senguttuvan
Some Properties Of Bazilevič Functions Involving Srivastava–Tomovski Operator, Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi, Alagiriswamy Senguttuvan
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We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski generalization of the Mittag-Leffler function. The family of functions introduced here is superordinated by a conic domain, which is impacted by the Janowski function. We obtain coefficient estimates and subordination conditions for starlikeness and Fekete–Szegö functional for functions belonging to the class.
A Mathematical Model For The Energy Stored In Green Roofs, Maria Aguareles, Marc Calvo-Schwarzwalder, Francesc Font, Timothy G. Myers
A Mathematical Model For The Energy Stored In Green Roofs, Maria Aguareles, Marc Calvo-Schwarzwalder, Francesc Font, Timothy G. Myers
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A simple mathematical model to estimate the energy stored in a green roof is developed. Analytical solutions are derived corresponding to extensive (shallow) and intensive (deep) substrates. Results are presented for the surface temperature and energy stored in both green roofs and concrete during a typical day. Within the restrictions of the model assumptions the analytical solution demonstrates that both energy and surface temperature vary linearly with fractional leaf coverage, albedo and irradiance, while the effect of evaporation rate and convective heat transfer is non-linear. It is shown that a typical green roof is significantly cooler and stores less energy …
A New Technique For Solving Neutral Delay Differential Equations Based On Euler Wavelets, Mutaz Mohammad, Alexander Trounev
A New Technique For Solving Neutral Delay Differential Equations Based On Euler Wavelets, Mutaz Mohammad, Alexander Trounev
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An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions and matrix inversion of some collocation points. Based on the operational matrix, the neutral delay differential equations are reduced to a system of algebraic equations, which is solved through a numerical algorithm. The effectiveness and efficiency of the technique have been illustrated by several examples of neutral delay differential equations. The main advantages and key role of using the Euler wavelets in this …
Properties Of Meromorphic Spiral-Like Functions Associated With Symmetric Functions, Daniel Breaz, Luminița-Ioana Cotîrlă, Elangho Umadevi, Kadhavoor R. Karthikeyan
Properties Of Meromorphic Spiral-Like Functions Associated With Symmetric Functions, Daniel Breaz, Luminița-Ioana Cotîrlă, Elangho Umadevi, Kadhavoor R. Karthikeyan
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To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral-like functions with other studies pertaining to subclasses of multivalent meromorphic functions. Inclusion relations, integral representation, geometrical interpretation, coefficient estimates and solution to the Fekete-Szegö problem of the defined classes are the highlights of this present study. Further to keep up with the present direction of research, we extend the study using quantum calculus. Applications of our main results are given as corollaries.
Analytical And Numerical Solutions To Describe Water Table Fluctuations Due To Canal Seepage And Time-Varying Recharge, Ashutosh Upadhyaya, Manisha M. Kankarej
Analytical And Numerical Solutions To Describe Water Table Fluctuations Due To Canal Seepage And Time-Varying Recharge, Ashutosh Upadhyaya, Manisha M. Kankarej
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Abstract Hybrid finite analytic solution (HFAS), Galerkin's method based finite element solution (FES) and fully implicit finite difference solution (FIFDS) of one dimensional nonlinear Boussinesq equation and Analytical solution of Boussinesq equation linearized by Baumann's transformation (analytical solution I, AS I) as well as linearized by Werner's transformation (analytical solution II, AS II) were employed to obtain water table rise in a horizontal unconfined aquifer lying between two canals located at finite distance having different elevations and subjected to various patterns of recharge, i.e. zero recharge, constant recharge, as well as time varying recharge. Considering HFAS as benchmark solution, water …
Fractional Bernstein Operational Matrices For Solving Integro-Differential Equations Involved By Caputo Fractional Derivative, M.H.T. Alshbool, Mutaz Mohammad, Osman Isik, Ishak Hashim
Fractional Bernstein Operational Matrices For Solving Integro-Differential Equations Involved By Caputo Fractional Derivative, M.H.T. Alshbool, Mutaz Mohammad, Osman Isik, Ishak Hashim
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The present work is devoted to developing two numerical techniques based on fractional Bernstein polynomials, namely fractional Bernstein operational matrix method, to numerically solving a class of fractional integro-differential equations (FIDEs). The first scheme is introduced based on the idea of operational matrices generated using integration, whereas the second one is based on operational matrices of differentiation using the collocation technique. We apply the Riemann–Liouville and fractional derivative in Caputo’s sense on Bernstein polynomials, to obtain the approximate solutions of the proposed FIDEs. We also provide the residual correction procedure for both methods to estimate the absolute errors. Some results …
Using Bayesian Networks To Provide Educational Implications: Mobile Learning And Ethnomathematics To Improve Sustainability In Mathematics Education, Jason D. Johnson, Linda Smail, Darryl Corey, Adeeb M. Jarrah
Using Bayesian Networks To Provide Educational Implications: Mobile Learning And Ethnomathematics To Improve Sustainability In Mathematics Education, Jason D. Johnson, Linda Smail, Darryl Corey, Adeeb M. Jarrah
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There are many Western apps that help students strengthen their mathematics skills through learning and game apps. A research project was designed to create an IOS Math App to provide Grade 6 Emirati students with the opportunity to explore mathematics, then, using Bayesian Networks, to examine the educational implications. The learning app was developed using ethnomathematics modules based on the Emirati culture. Students were required to navigate through several modules to examine various mathematical concepts in algebra and geometry. The survey was written for Grade 6 English language learners. Based on the Bayesian Networks, the findings suggested that if students …
Subclasses Of Multivalent Meromorphic Functions With A Pole Of Order P At The Origin, Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi
Subclasses Of Multivalent Meromorphic Functions With A Pole Of Order P At The Origin, Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi
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In this paper, we carry out a systematic study to discover the properties of a subclass of meromorphic starlike functions defined using the Mittag–Leffler three-parameter function. Differential operators involving special functions have been very useful in extracting information about the various properties of functions belonging to geometrically defined function classes. Here, we choose the Prabhakar function (or a three parameter Mittag–Leffler function) for our study, since it has several applications in science and engineering problems. To provide our study with more versatility, we define our class by employing a certain pseudo-starlike type analytic characterization quasi-subordinate to a more general function. …
Starlike Functions Of Complex Order With Respect To Symmetric Points Defined Using Higher Order Derivatives, Kadhavoor R. Karthikeyan, Sakkarai Lakshmi, Seetharam Varadharajan, Dharmaraj Mohankumar, Elangho Umadevi
Starlike Functions Of Complex Order With Respect To Symmetric Points Defined Using Higher Order Derivatives, Kadhavoor R. Karthikeyan, Sakkarai Lakshmi, Seetharam Varadharajan, Dharmaraj Mohankumar, Elangho Umadevi
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In this paper, we introduce and study a new subclass of multivalent functions with respect to symmetric points involving higher order derivatives. In order to unify and extend various well-known results, we have defined the class subordinate to a conic region impacted by Janowski functions. We focused on conic regions when it pertained to applications of our main results. Inclusion results, subordination property and coefficient inequality of the defined class are the main results of this paper. The applications of our results which are extensions of those given in earlier works are presented here as corollaries.
On Complete, Horizontal And Vertical Lifts From A Manifold With Fλ (6, 4) Structure To Its Cotangent Bundle, Manisha M. Kankarej, Jai Pratap Singh
On Complete, Horizontal And Vertical Lifts From A Manifold With Fλ (6, 4) Structure To Its Cotangent Bundle, Manisha M. Kankarej, Jai Pratap Singh
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Manifolds with fλ(6, 4) structure was defined and studied in the past. Later the geometry of tangent and cotangent bundles in a differentiable manifold with fλ(6, 4) structure was studied. The aim of the present paper is to study complete, horizontal and vertical lifts from a manifold with fλ (6, 4)-structure to its cotangent bundle.