On recent developments in the theory of abstract differential equations with fractional derivatives

E Hernández, D O'Regan, K Balachandran - Nonlinear Analysis: Theory …, 2010‏ - Elsevier
This note is motivated from some recent papers treating the problem of the existence of a
solution for abstract differential equations with fractional derivatives. We show that the …

[ספר][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 class of fractional evolution equations and optimal controls

JR Wang, Y Zhou - Nonlinear Analysis: Real World Applications, 2011‏ - Elsevier
This paper concerns the existence of mild solutions for semilinear fractional evolution
equations and optimal controls in the α-norm. A suitable α-mild solution of the semilinear …

A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1, 2) with delay

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2021‏ - Elsevier
In this paper, we formulate a new set of sufficient conditions for the approximate
controllability of fractional evolution stochastic integrodifferential delay inclusions of order …

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 …

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 …

[HTML][HTML] On the approximate controllability of semilinear fractional differential systems

R Sakthivel, Y Ren, NI Mahmudov - Computers & Mathematics with …, 2011‏ - Elsevier
Fractional differential equations have wide applications in science and engineering. In this
paper, we consider a class of control systems governed by the semilinear fractional …

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 …

Stochastic exponential stabilization and optimal control results for a class of fractional order equations

C Dineshkumar, JH Jeong, YH Joo - Chaos, Solitons & Fractals, 2024‏ - Elsevier
The object of this study is to define existence, controllability and exponential stability results
within a Sobolev-type fractional stochastic neutral equations of order 1< ω< 2 with sectorial …

New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 < r < 2

V Vijayakumar, C Ravichandran… - … Methods for Partial …, 2024‏ - Wiley Online Library
In our article, we are primarily concentrating on approximate controllability results for
fractional Sobolev type Volterra‐Fredholm integro‐differential inclusions of order 1< r< 2. By …