[HTML][HTML] On the existence and stability of a neutral stochastic fractional differential system

M Ahmad, A Zada, M Ghaderi, R George… - Fractal and …, 2022 - mdpi.com
The main purpose of this paper is to investigate the existence and Ulam-Hyers stability (U-
Hs) of solutions of a nonlinear neutral stochastic fractional differential system. We prove the …

[HTML][HTML] Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems

A Debbouche, D Baleanu - Computers & Mathematics with Applications, 2011 - Elsevier
In this work, the controllability result of a class of fractional evolution nonlocal impulsive
quasilinear delay integro-differential systems in a Banach space has been established by …

[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 …

New discussion on nonlocal controllability for fractional evolution system of order

M Mohan Raja, V Vijayakumar, A Shukla… - Advances in Difference …, 2021 - Springer
In this manuscript, we deal with the nonlocal controllability results for the fractional evolution
system of 1< r< 2 1<r<2 in a Banach space. The main results of this article are tested by …

Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators

M Feckan, JR Wang, Y Zhou - Journal of Optimization Theory and …, 2013 - Springer
The paper is concerned with the controllability of fractional functional evolution equations of
Sobolev type in Banach spaces. With the help of two new characteristic solution operators …

Nonlocal controllability of semilinear dynamic systems with fractional derivative in Banach spaces

JR Wang, Z Fan, Y Zhou - Journal of Optimization Theory and Applications, 2012 - Springer
In this paper, we establish two sufficient conditions for nonlocal controllability for fractional
evolution systems. Since there is no compactness of characteristic solution operators, our …

Complete controllability of fractional evolution systems

JR Wang, Y Zhou - Communications in Nonlinear Science and Numerical …, 2012 - Elsevier
The paper is concerned with the complete controllability of fractional evolution systems
without involving the compactness of characteristic solution operators introduced by us. The …

Controllability of second order functional random differential equations with delay

M Benchohra, F Bouazzaoui, E Karapinar, A Salim - Mathematics, 2022 - mdpi.com
In this article, we study some existence and controllability results for two classes of second
order functional differential equations with delay and random effects. To begin, we employ a …

Analysis of neutral stochastic fractional differential equations involving Riemann–Liouville fractional derivative with retarded and advanced arguments

S Saifullah, S Shahid, A Zada - Qualitative theory of dynamical systems, 2024 - Springer
This typescript explores the existence and uniqueness of solutions for Riemann–Liouville
neutral stochastic fractional differential equations with both retarded and advanced …

Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: modeling and hardware implementation

AG Butkovskii, SS Postnov, EA Postnova - Automation and Remote Control, 2013 - Springer
The review was devoted to describing the dynamics of various systems and control
processes in terms of the fractional integro-differential calculus. Consideration was given to …