An analysis on asymptotic stability of Hilfer fractional stochastic evolution equations with infinite delay

J Pradeesh, V Vijayakumar - Optimization, 2024 - Taylor & Francis
This article deals with the existence and asymptotic stability in the p-th moment of a mild
solution for Hilfer fractional stochastic delay differential equations in Hilbert spaces. Our …

A New Approach on the Approximate Controllability Results for Hilfer Fractional Stochastic Hemivariational Inequalities of Order

J Pradeesh, V Vijayakumar - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this paper, we investigate the approximate controllability for Hilfer fractional stochastic
hemivariational inequalities of order 1< μ< 2 in Hilbert spaces. Initially, we define the …

An analysis on time optimal feedback control for Caputo fractional neutral systems with delay

S Vivek, V Vijayakumar - Journal of Control and Decision, 2024 - Taylor & Francis
This paper aims to provide a systematic approach to investigate the optimal feedback control
systems governed by the fractional neutral evolution system with fixed delay in the sense of …

Approximate controllability for Hilfer fractional stochastic differential systems of order 1< μ< 2

J Pradeesh, V Vijayakumar - Journal of Control and Decision, 2024 - Taylor & Francis
In this paper, we analyse the approximate controllability of Hilfer fractional stochastic
differential systems of order 1< μ< 2 in Hilbert spaces. The primary findings are carried out …

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

A Shukla, SK Panda, V Vijayakumar, K Kumar… - Fractal and …, 2024 - mdpi.com
This paper addresses the approximate controllability results for Hilfer fractional stochastic
differential inclusions of order 1< q< 2. Stochastic analysis, cosine families, fixed point …

[HTML][HTML] The Existence Results of Solutions to the Nonlinear Coupled System of Hilfer Fractional Differential Equations and Inclusions

R Ma, Y Meng, H Pang - Fractal and Fractional, 2024 - mdpi.com
This paper is dedicated to studying the existence results of solutions to the nonlinear
coupled system of Hilfer fractional differential equations and inclusions, with multi-strip and …

A new exploration on the approximate controllability results for Hilfer fractional differential inclusions of order 1< μ< 2 1< μ< 2 with Clarke's subdifferential type

J Pradeesh, S Kumari Panda… - Mathematical Methods in … - Wiley Online Library
The main innovation of this article is to establish the existence and approximate
controllability of Hilfer fractional differential inclusions of order 1< μ< 2 1< μ< 2 using …