Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions-Reference-Cited by-同舟云学术

Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential equations with Dirichlet boundary conditions

Published:2023 Issue:1 Volume:8 Page:1172-1194
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Laadjal Zaid¹,Jarad Fahd²³

Affiliation:

1. Department of Mathematics and Computer Science, University Center of Illizi, IIlizi, 33000, Algeria

2. Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>In this work, the existence of solutions for nonlinear hybrid fractional integro-differential equations involving generalized proportional fractional (GPF) derivative of Caputo-Liouville-type and multi-term of GPF integrals of Reimann-Liouville type with Dirichlet boundary conditions is investigated. The analysis is accomplished with the aid of the Dhage's fixed point theorem with three operators and the lower regularized incomplete gamma function. Further, the uniqueness of solutions and their Ulam-Hyers-Rassias stability to a special case of the suggested hybrid problem are discussed. For the sake of corroborating the obtained results, an illustrative example is presented.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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