[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 …

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 …

Optimal controls for second‐order stochastic differential equations driven by mixed‐fractional Brownian motion with impulses

R Dhayal, M Malik, S Abbas… - … Methods in the Applied …, 2020 - Wiley Online Library
We study optimal control problems for a class of second‐order stochastic differential
equation driven by mixed‐fractional Brownian motion with non‐instantaneous impulses. By …

[HTML][HTML] Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential

A Harrat, JJ Nieto, A Debbouche - Journal of Computational and Applied …, 2018 - Elsevier
We study the solvability and optimal controls of an impulsive nonlinear Hilfer fractional delay
evolution inclusion in Banach spaces. For the main results, we use fractional calculus, fixed …

Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q∈(1, 2)

R Dhayal, M Malik, S Abbas - Stochastics, 2021 - Taylor & Francis
In this article, we study the stochastic fractional optimal control problem for a system
governed by a class of non-instantaneous impulsive stochastic fractional differential …

Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces

A Debbouche, V Antonov - Chaos, Solitons & Fractals, 2017 - Elsevier
This paper introduces a new concept called impulsive control inclusion condition, ie, the
impulsive condition is presented, in the first time, as inclusion related to multivalued maps …

Visco-elastic dampers in structural buildings and numerical solution with spline collocation methods

E Dadkhah, B Shiri, H Ghaffarzadeh… - Journal of Applied …, 2020 - Springer
The dynamic system of a structure utilized with visco-elastic dampers can be modeled by
fractional differential equations. All the resulted systems of fractional differential equations …

Controllability of multi-term time-fractional differential systems

V Singh, DN Pandey - Journal of Control and Decision, 2020 - Taylor & Francis
In this paper, an abstract multi-term time-fractional differential system is considered and the
exact controllability results are investigated. In this theory, we tend to implement the basic …

Controllability of fractional integro-differential evolution equations with nonlocal conditions

J Liang, H Yang - Applied Mathematics and Computation, 2015 - Elsevier
This paper concerns the controllability for a class of fractional integro-differential evolution
equations with nonlocal initial conditions. By using the fractional calculus, measure of …

[PDF][PDF] Analysis of fractional stochastic evolution equations by using Hilfer derivative of finite approximate controllability

A Moumen, R Shafqat, A Alsinai, H Boulares… - AIMS Math, 2023 - academia.edu
The approximate controllability of a class of fractional stochastic evolution equations
(FSEEs) are discussed in this study utilizes the Hilbert space by using Hilfer derivative. For …