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 …

[HTML][HTML] A fractional order model for Dual Variants of COVID-19 and HIV co-infection via Atangana-Baleanu derivative

A Omame, ME Isah, M Abbas, AH Abdel-Aty… - Alexandria Engineering …, 2022 - Elsevier
In this paper, a new mathematical model for dual variants of COVID-19 and HIV co-infection
is presented and analyzed. The existence and uniqueness of the solution of the proposed …

Partial-approximate controllability of semi-linear systems involving two Riemann-Liouville fractional derivatives

A Haq - Chaos, Solitons & Fractals, 2022 - Elsevier
This work analyzes the existence and partial-approximate controllability of non-local semi-
linear systems involving two Riemann-Liouville fractional derivatives without Lipschitz …

[HTML][HTML] An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces

YK Ma, K Kavitha, W Albalawi, A Shukla… - Alexandria Engineering …, 2022 - Elsevier
This manuscript concerns the approximate controllability results in Hilbert space of Hilfer
fractional differential inclusions. We show that the Hilfer fractional neutral differential …

Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order r∈(1, 2) with sectorial operators

MM Raja, V Vijayakumar - Chaos, Solitons & Fractals, 2022 - Elsevier
Fractional differential equations are used in many areas, such as the fields of science. In this
paper, we study existence results for a class of fractional mixed Volterra-Fredholm-type …

Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 2

C Dineshkumar, R Udhayakumar - Mathematical Methods in …, 2022 - Wiley Online Library
The main motivation of our conversation is the approximate controllability of fractional
stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1< r< 2 …

[HTML][HTML] An investigation on the optimal control for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay

M Johnson, V Vijayakumar - Fractal and Fractional, 2022 - mdpi.com
The main concern of this manuscript is to study the optimal control problem for Hilfer
fractional neutral stochastic integrodifferential systems with infinite delay. Initially, we …

A note on approximate controllability of second‐order neutral stochastic delay integro‐differential evolution inclusions with impulses

S Sivasankar, R Udhayakumar - Mathematical Methods in the …, 2022 - Wiley Online Library
In this work, we offer a set of appropriate conditions for the approximate controllability of
second‐order impulsive neutral stochastic integro‐differential evolution inclusions with …

[PDF][PDF] On degree theory for non-monotone type fractional order delay differential equations

K Shah, M Sher, A Ali, T Abdeljawad - AIMS Math, 2022 - aimspress.com
In this paper, we establish a qualitative theory for implicit fractional order differential
equations (IFODEs) with nonlocal initial condition (NIC) with delay term. Because area …