Result on controllability of Hilfer fractional integro-differential equations of Sobolev-type with non-instantaneous impulses-Reference-Cited by-同舟云学术

Result on controllability of Hilfer fractional integro-differential equations of Sobolev-type with non-instantaneous impulses

Published:2023 Issue:29 Volume:37 Page:10033-10053
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Kumar Parveen¹,Vats Ramesh¹,Kumar Ankit²

Affiliation:

1. Department of Mathematics & Scientific Computing, National Institute of Technology, Hamirpur (H.P.), India

2. Department of Mathematics, Graphic Era Hill University, Dehradun,(U.K), India

Abstract

This paper is concerned with the existence and controllability results for a class of Hilfer fractional differential equations of Sobolev-type with non-instantaneous impulse in Banach space. In order to bring off the main results, the author used the theory of propagation family {P(?)}??0 (generated by the operator pair (A,R)), measure of non-compactness, and the fixed point methods. The primary goal of this study is to determine the controllability of a dynamical system without assuming that R?1 is a bounded operator, and no relationship between the domain of the operators A and R. At the end, we provide an example to illustrate the main results.

Publisher

National Library of Serbia

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