On coupled impulsive fractional integro-differential equations with Riemann-Liouville derivatives

In this paper, we investigate the existence, uniqueness and stability of coupled impulsive fractional integro-differential equations with Riemann-Liouville derivatives. To prove the existence and uniqueness results for afore mentioned system, we use the techniques of Kransnoselskiios type fixed poin...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 2; pp. 1561 - 1595
Main Authors Wang, Xiaoming, Alam, Mehboob, Zada, Akbar
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
coupled system
fractional integro-differential equations
impulses
riemann-liouville fractional derivatives
ulam stability
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Summary:In this paper, we investigate the existence, uniqueness and stability of coupled impulsive fractional integro-differential equations with Riemann-Liouville derivatives. To prove the existence and uniqueness results for afore mentioned system, we use the techniques of Kransnoselskiios type fixed point theorem. Furthermore, different kinds of Ulam stabilities are discussed along with examples, to demonstrate the validity of main results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021094