The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

Y Guo, M Chen, XB Shu, F Xu - Stochastic Analysis and …, 2021 - Taylor & Francis
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic
solution to the fractional differential equation with impulse and fractional Brownian motion …

A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2021 - Elsevier
This manuscript is mainly focusing on the approximate controllability of Hilfer fractional
neutral stochastic integro-differential equations. The principal results of this article are …

Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay

V Vijayakumar, R Udhayakumar - Chaos, Solitons & Fractals, 2020 - Elsevier
This manuscript is mainly focusing on approximate controllability for non-densely defined
Hilfer fractional differential system with infinite delay. We study our primary outcomes by …

Optimal controls for second‐order stochastic differential equations driven by mixed‐fractional Brownian motion with impulses

R Dhayal, M Malik, S Abbas… - … Methods in the Applied …, 2020 - Wiley Online Library
We study optimal control problems for a class of second‐order stochastic differential
equation driven by mixed‐fractional Brownian motion with non‐instantaneous impulses. By …

Approximate controllability of delayed fractional stochastic differential systems with mixed noise and impulsive effects

N Hakkar, R Dhayal, A Debbouche, DFM Torres - Fractal and Fractional, 2023 - mdpi.com
We herein report a new class of impulsive fractional stochastic differential systems driven by
mixed fractional Brownian motions with infinite delay and Hurst parameter H^∈(1/2, 1) …

Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses

R Dhayal, M Malik - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, we consider a new class of fractional stochastic differential equations driven by
the Rosenblatt process with non-instantaneous impulses. By employing the sectorial …

New results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro‐differential systems

C Dineshkumar, R Udhayakumar - Numerical Methods for …, 2021 - Wiley Online Library
This manuscript is mainly focusing on the approximate controllability of Hilfer fractional
neutral stochastic integro‐differential equation with infinite delay. We study our primary …

Approximate and trajectory controllability of fractional stochastic differential equation with non‐instantaneous impulses and Poisson jumps

R Dhayal, M Malik, S Abbas - Asian Journal of Control, 2021 - Wiley Online Library
The problem of approximate controllability is investigated in this paper for a class of
fractional stochastic differential equations driven by fractional Brownian motion with non …

Conformable fractional stochastic differential equations with control function

HM Ahmed - Systems & Control Letters, 2021 - Elsevier
In this work, we consider a class of conformable fractional stochastic differential equations
driven by Rosenblatt process. By employing stochastic analysis, fractional calculus and fixed …

Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay

V Vijayakumar - International Journal of Control, 2018 - Taylor & Francis
The paper is mainly concerned with the approximate controllability results for a class of
impulsive neutral differential control systems. First, we establish a set of sufficient conditions …