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This paper presents a somewhat exhaustive study on the conformable fractional Gauss hypergeometric function (CFGHF). We start by solving the conformable fractional Gauss hypergeometric equation (CFGHE) about the fractional regular singular points $x=

Externí odkaz: http://arxiv.org/abs/2009.12242

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On conformable fractional Legendre polynomials and their convergence properties with applications

Autor: Abul-Ez, Mhmoud, Youssef, Ali, Zayed, Mohra, De la Sen, Manuel

The main objective of this paper is to give a wide study on the conformable fractional Legendre polynomials (CFLPs). This study is assumed to be a generalization and refinement, in an easy way, of the scalar case into the context of the conformable f

Externí odkaz: http://arxiv.org/abs/2006.09556

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Akademický článek

Involvement of the topological degree theory for solving a tripled system of multi-point boundary value problems

Autor: Hasanen A. Hammad, Hassen Aydi, Mohra Zayed

Publikováno v: AIMS Mathematics, Vol 8, Iss 1, Pp 2257-2271 (2023)

This article investigates the existence and uniqueness (EU) of positive solutions to the tripled system of multi-point boundary value problems (M-PBVPs) for fractional order differential equations (FODEs). The topological degree theory technique is e

Externí odkaz: https://doaj.org/article/525aa50c7bf947659768a31748ced085

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Akademický článek

A modified global error minimization method for solving nonlinear Duffing-harmonic oscillators

Autor: Gamal M. Ismail, Maha M. El-Moshneb, Mohra Zayed

Publikováno v: AIMS Mathematics, Vol 8, Iss 1, Pp 484-500 (2023)

In this paper, a third-order approximate solution of strongly nonlinear Duffing-harmonic oscillators is obtained by extending and improving an analytical technique called the global error minimization method (GEMM). We have made a comparison between

Externí odkaz: https://doaj.org/article/087c53104b974d85bb75acdabc1067ba

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