Boundary-value problem for nonlinear fractional differential equations of variable order with finite delay via Kuratowski measure of noncompactness

B Telli, MS Souid, I Stamova - Axioms, 2023 - mdpi.com
This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional
differential equations of variable order involving finite delays. The existence of solutions is …

A new result concerning nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators

S Sivasankar, R Udhayakumar, M Hari Kishor… - Mathematics, 2022 - mdpi.com
This manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic
differential equations via almost sectorial operators. The key ideas of the study are illustrated …

Optimal control problems for Hilfer fractional neutral stochastic evolution hemivariational inequalities

S Sivasankar, R Udhayakumar, V Subramanian… - Symmetry, 2022 - mdpi.com
In this paper, we concentrate on a control system with a non-local condition that is governed
by a Hilfer fractional neutral stochastic evolution hemivariational inequality (HFNSEHVI). By …

Existence of mild solutions for nonlocal evolution equations with the Hilfer derivatives

AB Elbukhari, Z Fan, G Li - Journal of Function Spaces, 2023 - Wiley Online Library
The existence of mild solutions for Hilfer fractional evolution equations with nonlocal
conditions in a Banach space is investigated in this manuscript. No assumptions about the …

Controllability criteria for nonlinear impulsive fractional differential systems with distributed delays in controls

A Debbouche, BS Vadivoo, VE Fedorov… - Mathematical and …, 2023 - mdpi.com
We establish a class of nonlinear fractional differential systems with distributed time delays
in the controls and impulse effects. We discuss the controllability criteria for both linear and …

Total controllability for a class of fractional hybrid neutral evolution equations with non-instantaneous impulses

A Salem, KN Alharbi - Fractal and Fractional, 2023 - mdpi.com
This study demonstrates the total control of a class of hybrid neutral fractional evolution
equations with non-instantaneous impulses and non-local conditions. The boundary value …

Existence results for a coupled system of fractional stochastic differential equations involving Hilfer derivative

FZ Arioui - Random Operators and Stochastic Equations, 2024 - degruyter.com
In this paper, we consider a coupled system of fractional stochastic differential equations
involving the Hilfer derivative of order 1 2< α< 1. Under some assumptions, we prove the …