[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] Dynamical behavior of tempered φ-Caputo type fractional order stochastic differential equations driven by Lévy noise

ML Maheswari, K Muthusamy - Partial Differential Equations in Applied …, 2024 - Elsevier
This paper focuses on the analysis of a class of stochastic differential equations with
tempered φ-Caputo fractional derivative (φ-CFD) and Lévy noise. We propose …

On the Asymptotic Stability of Hilfer Fractional Neutral Stochastic Differential Systems with Infinite Delay

J Pradeesh, V Vijayakumar - Qualitative Theory of Dynamical Systems, 2024 - Springer
This article explores the existence and asymptotic stability in the p-th moment of mild
solutions to a class of Hilfer fractional neutral stochastic differential equations with infinite …

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 …