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 …

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 …

Optimal control results for Sobolev‐type fractional mixed Volterra–Fredholm type integrodifferential equations of order 1 < r < 2 with sectorial operators

M Mohan Raja, V Vijayakumar - Optimal Control Applications …, 2022 - Wiley Online Library
The goal of this research is to investigate the issue of existence and optimal control results
for fractional mixed Volterra–Fredholm type integrodifferential systems of order 1< r< 2 1< r< …

Optimal control results for impulsive fractional delay integrodifferential equations of order 1< r< 2 via sectorial operator

M Johnson, MM Raja, V Vijayakumar… - … Modelling and Control, 2023 - zurnalai.vu.lt
This research investigates the existence of nonlocal impulsive fractional integrodifferential
equations of order 1< r< 2 with infinite delay. To begin with, we discuss the existence of a …

Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses

R Dhayal, M Malik - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, we consider a new class of fractional stochastic differential equations driven by
the Rosenblatt process with non-instantaneous impulses. By employing the sectorial …

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 …

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 …

Stability analysis of Atangana–Baleanu fractional stochastic differential systems with impulses

R Dhayal, JF Gómez-Aguilar… - International Journal of …, 2022 - Taylor & Francis
This paper is devoted to exploring a new class of Atangana–Baleanu fractional stochastic
differential systems driven by fractional Brownian motion with non-instantaneous impulsive …

Improved order in Hilfer fractional differential systems: Solvability and optimal control problem for hemivariational inequalities

MM Raja, V Vijayakumar, KC Veluvolu - Chaos, Solitons & Fractals, 2024 - Elsevier
The main objective of this study is to analyze the optimal control results and solvability
concerning Hilfer fractional differential hemivariational inequalities within the range of (1< …

Analysis and Optimal Control of φ-Hilfer Fractional Semilinear Equations Involving Nonlocal Impulsive Conditions

S Guechi, R Dhayal, A Debbouche, M Malik - Symmetry, 2021 - mdpi.com
The goal of this paper is to consider a new class of φ-Hilfer fractional differential equations
with impulses and nonlocal conditions. By using fractional calculus, semigroup theory, and …