Controllability of fractional dynamical systems with ψ-Caputo fractional derivative

AP Selvam, M Vellappandi, V Govindaraj - Physica Scripta, 2023 - iopscience.iop.org
The idea behind this study is to investigate the controllability of dynamical systems in terms
of the ψ-Caputo fractional derivative. The Grammian matrix is used to get at necessary and …

[PDF][PDF] On -Generalized -Hilfer Boundary Value Problems with Retardation and Anticipation

S Abdelkrim, M Benchohra, JE Lazreg… - Advances in the …, 2022 - dergipark.org.tr
In this paper, we prove some existence and uniqueness results for a class of boundary
valued problems for implicit nonlinear k-generalized ψ-Hilfer fractional differential equations …

New general integral transform via Atangana–Baleanu derivatives

M Meddahi, H Jafari, MN Ncube - Advances in Difference Equations, 2021 - Springer
The current paper is about the investigation of a new integral transform introduced recently
by Jafari. Specifically, we explore the applicability of this integral transform on Atangana …

Investigation of controllability and stability of fractional dynamical systems with delay in control

AP Selvam, V Govindaraj - Mathematics and Computers in Simulation, 2024 - Elsevier
The primary objective of this research is to investigate the controllability and Hyers–Ulam
stability of fractional dynamical systems represented by ψ-Caputo fractional derivative with …

Controllability of fractional dynamical systems with distributed delays in control using ψ‐Caputo fractional derivative

A Panneer Selvam, V Govindaraj - Asian Journal of Control, 2023 - Wiley Online Library
This research investigates the controllability of linear and non‐linear fractional dynamical
systems with distributed delays in control using the ψ ψ‐Caputo fractional derivative. For …

Controllability of fractional dynamical systems having multiple delays in control with ψ‐Caputo fractional derivative

A Panneer Selvam, V Govindaraj - Mathematical Methods in …, 2024 - Wiley Online Library
This study investigates the controllability problems for linear and nonlinear fractional control
systems with multiple control delays in the context of the ψ ψ‐Caputo fractional derivative …

[PDF][PDF] An existence results for a fractional differential equation with Φ-fractional derivative

M Beddani, B Hedia - Filomat, 2022 - doiserbia.nb.rs
In this article, we establish certain sufficient conditions to show the existence of solutions of a
fractional differential equation with the Φ-Riemann-Liouville and Φ-Caputo fractional …

Coupled system of --Caputo fractional differential equations without and with delay in generalized Banach spaces

C Derbazi, Z Baitichezidane… - Results in Nonlinear …, 2022 - dergipark.org.tr
The main objective of this research manuscript is to establish various existence and
uniqueness results as well as the Ulam--Hyers stability of solutions to a Coupled system of ψ …

Controllability Results for -Caputo Fractional Differential Systems with Impulsive Effects

AP Selvam, V Govindaraj - Qualitative Theory of Dynamical Systems, 2024 - Springer
The main goal of this study is to use the ψ-Caputo fractional derivative of order ϑ∈(0, 1) to
construct the criteria for controllability in non-instantaneous impulsive dynamical systems. To …

[PDF][PDF] EXISTENCE RESULT FOR A PROBLEM INVOLVING ψ–RIEMANN–LIOUVILLE FRACTIONAL DERIVATIVE ON UNBOUNDED DOMAIN

K Benia, M Beddani, M FE ˇCKAN, B HEDIA - Differ. Equ. Appl, 2022 - researchgate.net
This paper deals with the the existence of solution sets and its topological structure for a
fractional differential equation with ψ-Riemann-Liouville fractional derivative on (0,∞) in a …