Stability Results of Some Fractional Neutral Integrodifferential Equations with Delay-Reference-Cited by-同舟云学术

Stability Results of Some Fractional Neutral Integrodifferential Equations with Delay

Published:2022-04-15 Issue: Volume:2022 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Ben Makhlouf Abdellatif¹^ORCID,El-hady El-sayed¹^ORCID,Boulaaras Salah²^ORCID,Mchiri Lassaad³^ORCID

Affiliation:

1. Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi Arabia

2. Department of Mathematics, College of Sciences and Arts, Qassim University, Arras, Saudi Arabia

3. Department of Statistics and Operations Research, College of Sciences, King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia

Abstract

Differential equations with fractional derivative are being extensively used in the modelling of the transmission of many infective diseases like HIV, Ebola, and COVID-19. Analytical solutions are unreachable for a wide range of such kind of equations. Stability theory in the sense of Ulam is essential as it provides approximate analytical solutions. In this article, we utilize some fixed point theorem (FPT) to investigate the stability of fractional neutral integrodifferential equations with delay in the sense of Ulam-Hyers-Rassias (UHR). This work is a generalized version of recent interesting works. Finally, two examples are given to prove the applicability of our results.

Funder

Deanship of Scientific Research at Jouf University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/8211420.pdf

Reference51 articles.

1. Fractional Dynamics and Control

2. Controllability of fractional integrodifferential systems in Banach spaces

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