[HTML][HTML] Fractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel

M Farman, A Akgül, MT Tekin, MM Akram… - Alexandria Engineering …, 2022 - Elsevier
In this paper, HIV/AIDS fractional-order model is studied. This epidemic phenomenon is
analyzed using Caputo-Fabrizio and Fractal fractional derivative operator that includes an …

A discussion on approximate controllability of Sobolev‐type Hilfer neutral fractional stochastic differential inclusions

C Dineshkumar, K Sooppy Nisar… - Asian Journal of …, 2022 - Wiley Online Library
In this paper, the approximate controllability of Sobolev‐type Hilfer neutral fractional
stochastic differential inclusions in Hilbert spaces is considered. By using the stochastic …

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 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 …

On the approximate controllability results for fractional integrodifferential systems of order 1< r< 2 with sectorial operators

MM Raja, V Vijayakumar, A Shukla, KS Nisar… - … of Computational and …, 2022 - Elsevier
In this paper, we investigate the approximate controllability for fractional integrodifferential
inclusions of order r∈(1, 2) in Banach space with sectorial operators. In particular, we obtain …

Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2

W Kavitha Williams, V Vijayakumar… - … Methods for Partial …, 2024 - Wiley Online Library
In our article, we are primarily concentrating on existence and controllability of nonlocal
mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1< r< 2 …

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 …

[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 …

New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order r∈(1, 2)

C Dineshkumar, R Udhayakumar… - … in Nonlinear Science …, 2023 - Elsevier
In this paper, we deal with the approximate controllability of Sobolev-type fractional
stochastic evolution hemivariational inequalities of order r∈(1, 2). Firstly, by using stochastic …