Existence Results of Fuzzy Delay Impulsive Fractional Differential Equation by Fixed Point Theory Approach

Author:

Khan Aziz1ORCID,Shafqat Ramsha2ORCID,Niazi Azmat Ullah Khan2ORCID

Affiliation:

1. Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia

2. Department of Mathematics and Statistics, University of Lahore, Sargodha, Pakistan

Abstract

The main aim of this article is to study controllability and existence of solution of fuzzy delay impulsive fractional nonlocal integro-differential equation in the sense of Caputo operator. The existence and uniqueness of the solution have been carried out with the help of the Banach fixed point theorem. Moreover, for fuzzy fractional differential equations (FFDEs) driven by the Liu process, this present work introduced a concept of stability in credibility space. Finally, efficient examples are presented to demonstrate the main theoretical findings.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

Analysis

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