The analytical solutions of the stochastic fractional RKL equation via Jacobi elliptic function method

FM Al-Askar, WW Mohammed - Advances in Mathematical …, 2022 - Wiley Online Library
This article considers the stochastic fractional Radhakrishnan‐Kundu‐Lakshmanan
equation (SFRKLE), which is a higher order nonlinear Schrödinger equation with cubic …

Existence and controllability for conformable fractional stochastic differential equations with infinite delay via measures of noncompactness

J Huang, D Luo - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
In this article, we consider conformable fractional stochastic differential equations (CFSDEs)
driven by fBm with infinite delay via measures of noncompactness (MNC). As far as we …

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 …

Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2

C Dineshkumar, V Vijayakumar… - International Journal of …, 2023 - degruyter.com
The main motivation of our conversation is the existence and approximate controllability for
fractional stochastic Volterra–Fredholm integro-differential systems having order 1< r< 2 …

Robust adaptive finite‐time and fixed‐time synchronization of chaotic systems with smooth control

J Wu, R Ma - International Journal of Robust and Nonlinear …, 2021 - Wiley Online Library
By taking the noise into consideration, this article addresses the robust stochastic adaptive
finite‐time and fixed‐time synchronization of two chaotic systems. The novel adaptive and …

Relatively exact controllability for fractional stochastic delay differential equations of order κ∈(1, 2

J Huang, D Luo, Q Zhu - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, our main purpose is to study a class of fractional stochastic delay differential
equations (FSDDEs) of order κ∈(1, 2]. Firstly, we present a concept of delay Grammian …

Noninstantaneous impulsive conformable fractional stochastic delay integro-differential system with Rosenblatt process and control function

HM Ahmed - Qualitative Theory of Dynamical Systems, 2022 - Springer
In this paper, noninstantaneous impulsive conformable fractional stochastic delay integro-
differential system driven by Rosenblatt process is studied. Sufficient conditions for …

Relative controllability analysis of fractional order differential equations with multiple time delays

BS Vadivoo, G Jothilakshmi, Y Almalki… - Applied Mathematics …, 2022 - Elsevier
This paper is concerned with the relative controllability for a class of fractional differential
equations with multiple time delays. The solution representation is introduced for this system …

Relatively exact controllability for higher-order fractional stochastic delay differential equations

J Huang, D Luo - Information Sciences, 2023 - Elsevier
In this paper, our main purpose is to study a class of higher-order fractional stochastic delay
differential equations (FSDDEs). We first define a more generalized delay Grammian matrix …

Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses

R Dhayal, J Francisco Gómez‐Aguilar… - Optimal Control …, 2022 - Wiley Online Library
The objective of this article is to consider a new class of fractional stochastic differential
systems driven by the Rosenblatt process with impulses. We used fractional calculus …