New Study on the Controllability of Non-Instantaneous Impulsive Hilfer Fractional Neutral Stochastic Evolution Equations with Non-Dense Domain-Reference-Cited by-同舟云学术

New Study on the Controllability of Non-Instantaneous Impulsive Hilfer Fractional Neutral Stochastic Evolution Equations with Non-Dense Domain

Published:2024-04-27 Issue:5 Volume:8 Page:265
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Gokul Gunasekaran¹^ORCID,Almarri Barakah²^ORCID,Sivasankar Sivajiganesan¹^ORCID,Velmurugan Subramanian³^ORCID,Udhayakumar Ramalingam¹^ORCID

Affiliation:

1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India

2. General Studies Department, Jubail Industrial College, 8244 Rd Number 6, Al Huwaylat, Al Jubail 35718, Saudi Arabia

3. Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed to be University, Thanjavur 613 401, Tamil Nadu, India

Abstract

The purpose of this work is to investigate the controllability of non-instantaneous impulsive (NII) Hilfer fractional (HF) neutral stochastic evolution equations with a non-dense domain. We construct a new set of adequate assumptions for the existence of mild solutions using fractional calculus, semigroup theory, stochastic analysis, and the fixed point theorem. Then, the discussion is driven by some suitable assumptions, including the Hille–Yosida condition without the compactness of the semigroup of the linear part. Finally, we provide examples to illustrate our main result.

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/5/265/pdf

Reference40 articles.

1. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Application of Fractional Differential Equations, Elsevier.

2. Lakshmikantham, V., Bainov, D.D., and Simeonov, P.S. (1989). Theory of Impulsive Differential Equations, World Scientific.

3. Miller, K.S., and Ross, B. (1993). An Introduction to the Fractional Calculus and Differential Equations, John Wiley.

4. Pazy, A. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer.

5. Podulbny, I. (1999). Fractional Differential Equations, Academic Press.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New exploration on approximate controllability of nondensely defined Hilfer neutral-type delayed nonlinear differential inclusion system with non-instantaneous impulse;Journal of Mathematical Analysis and Applications;2024-09