Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional<i>q</i>-integro-differential equation<i>via</i>numerical technique-Reference-Cited by-同舟云学术

Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractionalq-integro-differential equationvianumerical technique

Published:2022-01-01 Issue:1 Volume:11 Page:186-206
ISSN:2192-8029
Container-title:Nonlinear Engineering
language:en
Short-container-title:

Author:

Yue Xiao-Guang¹²³⁴,Samei Mohammad Esmael⁵,Fathipour Azam⁵,Kaabar Mohammed K. A.⁶,Kashuri Artion⁷

Affiliation:

1. Wuchang University of Technology , Wuhan , China

2. Department of Computer Science and Engineering, European University Cyprus , Nicosia , Cyprus

3. CIICESI-ESTG, Politecnico do Porto , 4610-156 Felgueiras , Portugal

4. Romanian-American University , Bucharest , Romania

5. Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University , Hamedan , Iran

6. Jabalia Camp, United Nations Relief and Works Agency (UNRWA), Palestinian Refugee Camp , Gaza Strip Jabalya , State of Palestine

7. Department of Mathematics, Faculty of Technical and Natural Science, University “Ismail Qemali” , 9400 Vlora , Albania

Abstract

AbstractThis article discusses the stability results for solution of a fractionalq-integro-differential problemviaintegral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results. Based on the results obtained, conditions are provided to ensure the generalized Ulam and Ulam–Hyers–Rassias stabilities of the original system. The results are illustrated by two examples.

Publisher

Walter de Gruyter GmbH

Subject

Computer Networks and Communications,General Engineering,Modeling and Simulation,General Chemical Engineering

Link

https://www.degruyter.com/document/doi/10.1515/nleng-2022-0023/pdf

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