Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order

M Mohan Raja, V Vijayakumar, A Shukla… - Optimal Control …, 2022 - Wiley Online Library
This article investigates the issue of optimal control and approximate controllability results
for fractional integrodifferential evolution equations with infinite delay of r∈(1, 2) in Banach …

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 …

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 …

Optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order ϑ∈(1, 2) via sectorial operators

M Johnson, V Vijayakumar - Numerical Functional Analysis and …, 2023 - Taylor & Francis
The objective of this paper is to investigate the optimal control results for Sobolev-type
fractional stochastic Volterra-Fredholm integrodifferential systems of order ϑ∈(1, 2) with …

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 …

An Analysis on the Optimal Control for Fractional Stochastic Delay Integrodifferential Systems of Order 1 < γ < 2

M Johnson, V Vijayakumar - Fractal and Fractional, 2023 - mdpi.com
The purpose of this paper is to investigate the optimal control for fractional stochastic
integrodifferential systems of order 1< γ< 2. To ensure the existence and uniqueness of mild …

Fractional neutral stochastic differential equations with Caputo fractional derivative: Fractional Brownian motion, Poisson jumps, and optimal control

K Ramkumar, K Ravikumar… - Stochastic Analysis and …, 2021 - Taylor & Francis
The objective of this paper is to investigate the existence of mild solutions and optimal
controls for a class of fractional neutral stochastic differential equations (NSDEs) driven by …

An investigation on the optimal control for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay

M Johnson, V Vijayakumar - Fractal and Fractional, 2022 - mdpi.com
The main concern of this manuscript is to study the optimal control problem for Hilfer
fractional neutral stochastic integrodifferential systems with infinite delay. Initially, we …

Finite-approximate controllability of impulsive Caputo fractional evolution equations with nonlocal conditions

Y Ding, Y Li - Fractional Calculus and Applied Analysis, 2023 - Springer
In this paper we consider a class of impulsive ψ-Caputo fractional evolution equations with
nonlocal initial conditions. Firstly, an explicit form of the mild solutions to the considered …

[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 …