A novel implementation of dhage's fixed point theorem to nonlinear sequential hybrid fractional differential equation
M Awadalla, M Hannabou, K Abuasbeh, K Hilal - Fractal and Fractional, 2023 - mdpi.com
In this work, the existence and uniqueness of solutions to a sequential fractional (Hybrid)
differential equation with hybrid boundary conditions were investigated by the generalization …
differential equation with hybrid boundary conditions were investigated by the generalization …
A novel implementation of Mönch's fixed point theorem to a system of nonlinear Hadamard fractional differential equations
In this article, we employed Mönch's fixed point theorem to investigate the existence of
solutions for a system of nonlinear Hadamard fractional differential equations and nonlocal …
solutions for a system of nonlinear Hadamard fractional differential equations and nonlocal …
Existence results for anti-periodic fractional coupled systems with Laplacian operator via measure of noncompactness in Banach spaces
A El Mfadel, S Melliani, M Elomari - Journal of Mathematical Sciences, 2023 - Springer
The aim of this paper is to investigate the existence of anti-periodic solutions for a nonlinear
coupled system of Ψ-Caputo fractional differential equations with p-Laplacian operator in a …
coupled system of Ψ-Caputo fractional differential equations with p-Laplacian operator in a …
On the Generalized Liouville–Caputo Type Fractional Differential Equations Supplemented with Katugampola Integral Boundary Conditions
M Awadalla, M Subramanian, K Abuasbeh… - Symmetry, 2022 - mdpi.com
In this study, we examine the existence and Hyers–Ulam stability of a coupled system of
generalized Liouville–Caputo fractional order differential equations with integral boundary …
generalized Liouville–Caputo fractional order differential equations with integral boundary …
Semi-analytical investigation for the ψ-Caputo fractional relaxation-oscillation equation using the decomposition method
M Alsulami, M Alyami, M Al-Mazmumy… - European Journal of Pure …, 2024 - ejpam.com
The relaxation-oscillation differential equation serves as the fundamental model governing
the description of relaxation-oscillation processes with notable applications in fluid flow and …
the description of relaxation-oscillation processes with notable applications in fluid flow and …
Applicability of Mönch's Fixed Point Theorem on a System of (k, ψ)-Hilfer Type Fractional Differential Equations
In this article, we study a system of Hilfer (k, ψ)-fractional differential equations, subject to
nonlocal boundary conditions involving Hilfer (k, ψ)-derivatives and (k, ψ)-integrals. The …
nonlocal boundary conditions involving Hilfer (k, ψ)-derivatives and (k, ψ)-integrals. The …
Applicability of Darbo's fixed point theorem on the existence of a solution to fractional differential equations of sequential type
M Awadalla, K Abuasbeh, M Manigandan… - Journal of …, 2023 - Wiley Online Library
In this article, we study the existence of the solution for the fractional differential equations of
sequential type with nonlocal integral boundary conditions. The main results are established …
sequential type with nonlocal integral boundary conditions. The main results are established …
Analysis on a nonlinear fractional differential equations in a bounded domain
In this manuscript, based on the most widespread fixed point theories in literature. The
existence of solutions to the system of nonlinear fractional differential equations with Caputo …
existence of solutions to the system of nonlinear fractional differential equations with Caputo …
Controllability of a Class of Impulsive ψ-Caputo Fractional Evolution Equations of Sobolev Type
Q Yang, C Bai, D Yang - Axioms, 2022 - mdpi.com
In this paper, we investigate the controllability of a class of impulsive ψ-Caputo fractional
evolution equations of Sobolev type in Banach spaces. Sufficient conditions are presented …
evolution equations of Sobolev type in Banach spaces. Sufficient conditions are presented …
Stability, Periodicity, and Related Problems in Fractional-Order Systems
M Fečkan, MF Danca - Mathematics, 2022 - mdpi.com
This Special Issue aims to collect new perspectives on the trends in both theory and
applications of stability of fractional order continuous and discrete systems, analytical and …
applications of stability of fractional order continuous and discrete systems, analytical and …