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7 results on '"SHEHATA, AYMAN"'

2. Some Formulas for Horn's Hypergeometric Function GB of Three Variables.

Author

Shehata, Ayman, Moustafa, Shimaa I., Younis, Jihad, and Aydi, Hassen

Subjects
HYPERGEOMETRIC series, HYPERGEOMETRIC functions, DIFFERENTIAL equations
Abstract

Agarwal et al. (2021) established the extension of several fundamental contiguous relations for G B . Our aim in this work is to investigate several properties of differentiation formulas, differential equations, recursion relations, differential recursion relations, confluence formulas, series representations, integration formulas, and infinite summations for Horn's hypergeometric function G B of three variables. Some well-known particular cases have additionally been given. [ABSTRACT FROM AUTHOR]

Published
2022
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3. Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α-Admissible Fψ1,ψ2−Contractions in M−Metric Spaces

Author

Karapinar, Erdal, Moustafa, Shimaa I., Shehata, Ayman, and Agarwal, Ravi P.

Subjects
Article Subject, QA1-939, Mathematics
Abstract

In this paper, we investigate the existence of a unique coupled fixed point for α−admissible mapping which is of Fψ1,ψ2−contraction in the context of M−metric space. We have also shown that the results presented in this paper would extend many recent results appearing in the literature. Furthermore, we apply our results to develop sufficient conditions for the existence and uniqueness of a solution for a coupled system of fractional hybrid differential equations with linear perturbations of second type and with three-point boundary conditions.

Published
2020

4. L-Simulation Functions over b-Metric-Like Spaces and Fractional Hybrid Differential Equations

Author

Moustafa, Shimaa I. and Shehata, Ayman

Subjects
Article Subject, QA1-939, Mathematics
Abstract

In this paper, we establish some fixed point results for αqsp-admissible mappings embedded in L-simulation functions in the context of b-metric-like spaces. As an application, we discuss the existence of a unique solution for fractional hybrid differential equation with multipoint boundary conditions via Caputo fractional derivative of order 1

Published
2020

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