Stability of fractional order systems

M Rivero, SV Rogosin… - Mathematical …, 2013‏ - Wiley Online Library
The theory and applications of fractional calculus (FC) had a considerable progress during
the last years. Dynamical systems and control are one of the most active areas, and several …

Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type

K Kavitha, V Vijayakumar, A Shukla, KS Nisar… - Chaos, Solitons & …, 2021‏ - Elsevier
The basic motivation of this research paper is the approximate controllability of Sobolev-type
fractional neutral differential inclusions of Clarke subdifferential type which generalized the …

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 …

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 …

Approximate controllability of fractional order semilinear systems with bounded delay

S Kumar, N Sukavanam - Journal of Differential Equations, 2012‏ - Elsevier
In this paper, sufficient conditions are established for the approximate controllability of a
class of semilinear delay control systems of fractional order. The existence and uniqueness …

Controllability of neutral impulsive fractional differential equations with Atangana-Baleanu-Caputo derivatives

P Bedi, A Kumar, A Khan - Chaos, Solitons & Fractals, 2021‏ - Elsevier
In this article, we aim to establish the controllability results for fractional differential equations
of neutral type with Atangana-Baleanu-Caputo derivatives. We develop these results with …

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 …

[PDF][PDF] Controllability of fractional integro-differential equations with infinite delay and non-instantaneous impulses

N Benkhettou, K Aissani, A Salim… - Appl. Anal …, 2022‏ - yokohamapublishers.jp
In this article, we deal with the controllability for a class of the fractional integro-differential
equations with infinite delay and non-instantaneous impulses. Our findings are derived by …

Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay

V Vijayakumar, R Udhayakumar - Chaos, Solitons & Fractals, 2020‏ - Elsevier
This manuscript is mainly focusing on approximate controllability for non-densely defined
Hilfer fractional differential system with infinite delay. We study our primary outcomes by …