Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse-Reference-Cited by-同舟云学术

Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse

Published:2023-06-26 Issue:16 Volume:46 Page:16992-17009
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Yadav Vandana¹,Vats Ramesh Kumar¹^ORCID,Kumar Ankit²^ORCID,Jeet Kamal³^ORCID

Affiliation:

1. Department of Mathematics & Scientific Computing National Institute of Technology Hamirpur Hamirpur, Himachal Pradesh India

2. Department of Mathematics Graphic Era Hill University Dehradun, Uttarakhand India

3. Department of Basic Sciences Indian Institute of Information Technology Nagpur, Maharashtra India

Abstract

This manuscript aims to establish a new set of sufficient conditions for the existence and approximate controllability of a neutral‐type fractional integro‐differential system employed with noninstantaneous impulse and finite delay in Hilbert space. In order to bring off the main results, the author used fractional calculus, semigroup theory, and Schauder's fixed‐point theorem. At the end, we provide an example to illustrate the main results.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9484

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