New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations

C Ravichandran, K Logeswari, F Jarad - Chaos, Solitons & Fractals, 2019 - Elsevier
In this article, we consider integro-differential equations involving the recently explored
Atangana–Baleanu fractional derivatives which contain the generalized Mittag-Leffler …

An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain

KS Nisar, K Jothimani, K Kaliraj… - Chaos, Solitons & …, 2021 - Elsevier
In this article, the controllability results of the non-dense Hilfer neutral fractional derivative
(HNFD) are presented. The results are acknowledged using semigroup theory, fractional …

Transmission of Nipah virus dynamics under Caputo fractional derivative

F Evirgen - Journal of Computational and Applied Mathematics, 2023 - Elsevier
The purpose of this paper is to bring a numerical model of the Nipah virus (NiV) into focus for
tracing the fractional order derivative's influence on the manner in which the model …

On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions

C Ravichandran, K Logeswari, SK Panda… - Chaos, Solitons & …, 2020 - Elsevier
In this article, we study an impulsive neutral fractional integro-differential equation (FIDE) via
Atangana-Baleanu fractional derivative. The fixed point approach is employed to prove the …

[HTML][HTML] A note on approximate controllability of fractional semilinear integrodifferential control systems via resolvent operators

V Vijayakumar, KS Nisar, D Chalishajar, A Shukla… - Fractal and …, 2022 - mdpi.com
This article primarily focuses on the approximate controllability of fractional semilinear
integrodifferential equations using resolvent operators. Two alternative sets of necessary …

Results on the existence and controllability of fractional integro-differential system of order 1< r< 2 via measure of noncompactness

MM Raja, V Vijayakumar, R Udhayakumar - Chaos, Solitons & Fractals, 2020 - Elsevier
This manuscript is mainly focusing on the existence and controllability of fractional integro-
differential system of order 1< r< 2 with infinite delay. Our article's principal findings proved …

A mathematical analysis of ongoing outbreak COVID‐19 in India through nonsingular derivative

KM Safare, VS Betageri, DG Prakasha… - … Methods for Partial …, 2021 - Wiley Online Library
Throughout the globe, mankind is in vastly infected situations due to a cruel and destructive
virus called coronavirus (COVID‐19). The pivotal aim of the present investigation is to …

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 …

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 …

Existence of solutions of non-autonomous fractional differential equations with integral impulse condition

A Kumar, HVS Chauhan, C Ravichandran… - Advances in Difference …, 2020 - Springer
In this paper, we investigate the existence of solution of non-autonomous fractional
differential equations with integral impulse condition by the measure of non-compactness …