[HTML][HTML] Analytical solution of linear fractional systems with variable coefficients involving Riemann–Liouville and Caputo derivatives

I Matychyn - Symmetry, 2019 - mdpi.com
This paper deals with the initial value problem for linear systems of fractional differential
equations (FDEs) with variable coefficients involving Riemann–Liouville and Caputo …

Novel closed-loop controllers for fractional linear quadratic time-varying systems

I Malmir - Numerical Algebra, Control and Optimization, 2024 - aimsciences.org
A novel method for finding the closed-loop optimal controllers of the finite-time fractional
linear quadratic regulator systems is introduced. The necessary optimality conditions for the …

On solvability for a class of nonlinear systems of differential equations with the Caputo fractional derivative

M Jolić, S Konjik, D Mitrović - Fractional Calculus and Applied Analysis, 2022 - Springer
We prove solvability and regularity of a solution to a class of fractional nonlinear systems of
differential equations with the Caputo derivative by the use of the Leray-Schauder fixed point …

[PDF][PDF] Time–optimal control of linear fractional systems with variable coefficients

I Matychyn, V Onyshchenko - International Journal of Applied …, 2021 - sciendo.com
Linear systems described by fractional differential equations (FDEs) with variable
coefficients involving Riemann–Liouville and Caputo derivatives are examined in the paper …

A study on linear Prabhakar fractional systems with variable coefficients

M Aydin, NI Mahmudov - Qualitative Theory of Dynamical Systems, 2024 - Springer
The focus of this paper is on addressing the initial value problem related to linear systems of
fractional differential equations characterized by variable coefficients, incorporating …

Solution of linear fractional order systems with variable coefficients

I Matychyn, V Onyshchenko - Fractional Calculus and Applied …, 2020 - degruyter.com
The paper deals with the initial value problem for linear systems of FDEs with variable
coefficients involving Riemann–Liouville derivatives. The technique of the generalized …

Fractional differential equation on the whole axis involving Liouville derivative

I Matychyn, V Onyshchenko - Fractional Calculus and Applied Analysis, 2024 - Springer
Fractional differential equation on the whole axis involving Liouville derivative | Fractional
Calculus and Applied Analysis Skip to main content SpringerLink Account Menu Find a journal …

Game-theoretical problems for fractional-order nonstationary systems

I Matychyn, V Onyshchenko - Fractional Calculus and Applied Analysis, 2023 - Springer
Nonstationary fractional-order systems represent a new class of dynamic systems
characterized by time-varying parameters as well as memory effect and hereditary …

On a Linear Fractional Differential Equation Involving Liouville Derivative

I Matychyn, V Onyshchenko - IFAC-PapersOnLine, 2024 - Elsevier
ScienceDirect Page 1 IFAC PapersOnLine 58-12 (2024) 226–230 ScienceDirect Available
online at www.sciencedirect.com 2405-8963 Copyright © 2024 The Authors. This is an open …