Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q

Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2

Published:2024-08-24 Issue:9 Volume:8 Page:499
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Shukla Anurag¹^ORCID,Panda Sumati Kumari²^ORCID,Vijayakumar Velusamy³^ORCID,Kumar Kamalendra⁴^ORCID,Thilagavathi Kothandabani³^ORCID

Affiliation:

1. Department of Applied Sciences & Humanities, Rajkiya Engineering College, Kannauj 209732, India

2. Department of Mathematics, GMR Institute of Technology, Rajam 532127, India

3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India

4. Department of Basic Science, SRMS College of Engineering & Technology, Bareilly 243001, India

Abstract

This paper addresses the approximate controllability results for Hilfer fractional stochastic differential inclusions of order 1<q<2. Stochastic analysis, cosine families, fixed point theory, and fractional calculus provide the foundation of the main results. First, we explored the prospects of finding mild solutions for the Hilfer fractional stochastic differential equation. Subsequently, we determined that the specified system is approximately controllable. Finally, an example displays the theoretical application of the results.

Funder

Science and Engineering Research Board

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/9/499/pdf

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