Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional q-integro-differential equation via numerical technique

Autor: Yue Xiao-Guang, Samei Mohammad Esmael, Fathipour Azam, Kaabar Mohammed K. A., Kashuri Artion
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Nonlinear Engineering, Vol 11, Iss 1, Pp 186-206 (2022)
Druh dokumentu: article
ISSN: 2192-8029
DOI: 10.1515/nleng-2022-0023
Popis: This article discusses the stability results for solution of a fractional q-integro-differential problem via integral 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.
Databáze: Directory of Open Access Journals