[HTML][HTML] Solving systems of conformable linear differential equations via the conformable exponential matrix

F Martínez, I Martínez, MKA Kaabar… - Ain Shams Engineering …, 2021 - Elsevier
In this research paper, we discuss systems of conformable linear differential equations. The
conformable fundamental exponential matrix has been used to express the solution of the …

[HTML][HTML] Results on partial approximate controllability of fractional control systems in Hilbert spaces with conformable derivatives

M Jneid - AIP Advances, 2024 - pubs.aip.org
This paper investigates partial approximate controllability of fractional linear and semi-linear
control systems involving the conformable derivative. First, we derive sufficient and …

Controllability of infinite-dimensional conformable linear and semilinear systems

T Ennouari, B Abouzaid, ME Achhab - International Journal of Dynamics …, 2023 - Springer
The current paper discusses the controllability of systems governed by infinite-dimensional
linear and semilinear conformable differential equations. By stating conformable …

Processing the controllability of control systems with distinct fractional derivatives via Kalman filter and Gramian matrix

M Awadalla, A Chaouk, M Jneid, K Abuasbeh… - Fractal and …, 2024 - mdpi.com
In this paper, we investigate the controllability conditions of linear control systems involving
distinct local fractional derivatives. Sufficient conditions for controllability using Kalman rank …

On partial exact controllability of fractional control systems in conformable sense

M Jneid - Journal of Mathematics, 2024 - Wiley Online Library
In this work, we investigate the partial exact controllability of fractional semilinear control
systems in the sense of conformable derivatives. Initially, we establish the existence and …

[PDF][PDF] Controllability of mild solutions for a nonlocal fractional conformable Cauchy problem of differential equations of the second order

M Atraoui, M Bouaouid, M Johri… - Advanced …, 2023 - jomardpublishing.com
In the present paper, we are concerned with the controllability of mild solutions for a Cauchy
problem governed by a conformable fractional derivative of positive and inferior than one …

Controllability of mild solution of nonlocal conformable fractional differential equations

M Hannabou, M Bouaouid… - Advances in Mathematical …, 2022 - Wiley Online Library
In many research works Bouaouid et al. have proved the existence of mild solutions of an
abstract class of nonlocal conformable fractional Cauchy problem of the form: dαx (t)/dtα= Ax …

A Novel Approach for Time-Local Fractional Solutions of Certain Nonlinear Partial Differential Equations in Fractal Dimension

M Jneid, M Daher, M Awad, S Marhaba - International Journal of …, 2024 - etamaths.com
Time-local fractional approaches for nonlinear partial differential equations in fractal
dimensions are essential for capturing the complex, irregular behaviors found in fractal …

New solution of conformable Fornberg-Whitham differential equation via conformable Sumudu decomposition method

S Alfaqeih, G Bakıcıerler, E Mısırlı - 2022 - belgelik.isikun.edu.tr
In this work, a new analytical method called the conformable Sumudu decomposition
method is introduced to obtain approximate solutions of fractional FornbergWhitham …

Solving systems of conformable linear differential equations via the conformable exponential matrix

FM Martínez González, I Martínez Vidal, MKA Kaabar… - 2021 - repositorio.upct.es
In this research paper, we discuss systems of conformable linear differential equations. The
conformable fundamental exponential matrix has been used to express the solution of the …