Asymptotic stability of fractional order (1, 2] stochastic delay differential equations in Banach spaces

A Singh, A Shukla, V Vijayakumar… - Chaos, Solitons & …, 2021 - Elsevier
In this article, we discuss the asymptotic stability and mean square stability of stochastic
differential equations of fractional-order 1< α≤ 2. We have considered the family of …

A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 1< r< 2

C Dineshkumar, R Udhayakumar… - … and Computers in …, 2021 - Elsevier
In this manuscript, we mainly focus on the approximate controllability of Sobolev type
fractional stochastic integro-differential delay inclusions with order 1< r< 2. The primary …

A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1, 2) with delay

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2021 - Elsevier
In this paper, we formulate a new set of sufficient conditions for the approximate
controllability of fractional evolution stochastic integrodifferential delay inclusions of order …

[HTML][HTML] Analysis of a conformable generalized geophysical KdV equation with Coriolis effect

S Saifullah, N Fatima, SAM Abdelmohsen… - Alexandria Engineering …, 2023 - Elsevier
In this manuscript, we study new solutions of generalized version of geophysical KdV
equation which is called generalized perturbed KdV (gpKdV) under time–space …

[HTML][HTML] Study of fractional order dynamics of nonlinear mathematical model

K Shah, A Ali, S Zeb, A Khan, MA Alqudah… - Alexandria Engineering …, 2022 - Elsevier
This manuscript is devoted to establishing some theoretical and numerical results for a
nonlinear dynamical system under Caputo fractional order derivative. Further, the said …

Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order

M Mohan Raja, V Vijayakumar, A Shukla… - Optimal Control …, 2022 - Wiley Online Library
This article investigates the issue of optimal control and approximate controllability results
for fractional integrodifferential evolution equations with infinite delay of r∈(1, 2) in Banach …

A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order r∈(1, 2)

A Shukla, V Vijayakumar, KS Nisar - Chaos, Solitons & Fractals, 2022 - Elsevier
In this article, we mainly focus on the existence and approximate controllability results for the
fractional semilinear impulsive control system of order r∈(1, 2). We consider two different …

Stochastic exponential stabilization and optimal control results for a class of fractional order equations

C Dineshkumar, JH Jeong, YH Joo - Chaos, Solitons & Fractals, 2024 - Elsevier
The object of this study is to define existence, controllability and exponential stability results
within a Sobolev-type fractional stochastic neutral equations of order 1< ω< 2 with sectorial …

New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 < r < 2

V Vijayakumar, C Ravichandran… - … Methods for Partial …, 2024 - Wiley Online Library
In our article, we are primarily concentrating on approximate controllability results for
fractional Sobolev type Volterra‐Fredholm integro‐differential inclusions of order 1< r< 2. By …

Stability analysis for complex-valued neural networks with fractional order

SK Panda, AM Nagy, V Vijayakumar… - Chaos, Solitons & Fractals, 2023 - Elsevier
In the context of complex-valued rectangular b-metric spaces, the present study investigates
the stability of complex-valued neural networks (CVNNs) with fractional order. Using the …