Improved order in Hilfer fractional differential systems: Solvability and optimal control problem for hemivariational inequalities

MM Raja, V Vijayakumar, KC Veluvolu - Chaos, Solitons & Fractals, 2024 - Elsevier
The main objective of this study is to analyze the optimal control results and solvability
concerning Hilfer fractional differential hemivariational inequalities within the range of (1< …

[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 …

On Leibniz type rule for generalized fractional derivatives

W Abdelhedi - Bulletin des Sciences Mathématiques, 2024 - Elsevier
In this paper, we present a new Leibniz-type rule for two variants of the most generalized
fractional derivatives; the regularized ψ-Hilfer derivative and the (k, ψ)-Hilfer derivative. As a …

Approximate Controllability for Semilinear Fractional Stochastic Evolution Equations

Y Jiang, J Ren, Y Wei, J Xue - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this paper, we show the approximate controllability for a class of semilinear fractional
stochastic systems in abstract space with the Riemann–Liouville fractional derivative. The …

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 …