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 …

[LLIBRE][B] Topics in fractional differential equations

S Abbas, M Benchohra, GM N'Guérékata - 2012 - books.google.com
​​​ Topics in Fractional Differential Equations is devoted to the existence and uniqueness
of solutions for various classes of Darboux problems for hyperbolic differential equations or …

A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2022 - Elsevier
In this paper, we investigate the approximate controllability results of Atangana-Baleanu
fractional neutral stochastic systems with infinite delay. Using principles and ideas from …

[HTML][HTML] A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

RP Agarwal, D Baleanu, JJ Nieto, DFM Torres… - … of Computational and …, 2018 - Elsevier
We survey some representative results on fuzzy fractional differential equations,
controllability, approximate controllability, optimal control, and optimal feedback control for …

Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system

KS Nisar, V Vijayakumar - Mathematical Methods in the …, 2021 - Wiley Online Library
In this manuscript, our primary focus on the approximate controllability outcomes for non‐
densely defined Sobolev‐type Hilfer fractional neutral differential system with infinite delay …

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 …

Approximation methods for solving fractional equations

SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

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 …