[HTML][HTML] Numerical investigation of a fractional model of a tumor-immune surveillance via Caputo operator

S Alshammari, M Alshammari, M Alabedalhadi… - Alexandria Engineering …, 2024 - Elsevier
Fractional calculus has become a potent tool for simulating the complexity of interactions in
tumor-immune system dynamics. This paper investigates the existence and uniqueness of …

On the existence results for a mixed hybrid fractional differential equations of sequential type

M Arab, M Awadalla, M Manigandan, K Abuasbeh… - Fractal and …, 2023 - mdpi.com
In this article, we study the existence of a solution to the mixed hybrid fractional differential
equations of sequential type with nonlocal integral hybrid boundary conditions. The main …

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 …

Existence results for Caputo tripled fractional differential inclusions with integral and multi-point boundary conditions

M Awadalla, M Manigandan - Fractal and Fractional, 2023 - mdpi.com
In this study, based on Coitz and Nadler's fixed point theorem and the non-linear alternative
for Kakutani maps, existence results for a tripled system of sequential fractional differential …

Analysis on a nonlinear fractional differential equations in a bounded domain

M Awadalla, K Buvaneswari, P Karthikeyan… - Journal of Applied …, 2024 - Springer
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 …

On the -Caputo Impulsive p-Laplacian Boundary Problem: An Existence Analysis

F Chabane, M Benbachir, S Etemad… - Qualitative Theory of …, 2024 - Springer
Due to the importance of some physical systems, in this paper, we aim to investigate a
generalized impulsive ρ-Caputo differential equation equipped with ap-Laplacian operator …

Applications of the - caputo fractional operator in the existence of solutions to hybrid differential equations

M Awadalla - Journal of Applied Mathematics and Computing, 2024 - Springer
This article examines the existence of solutions for mixed hybrid fractional differential
equations of the sequential type with nonlocal integrable hybrid boundary conditions. The …

[PDF][PDF] Utilizing Schaefer's fixed point theorem in nonlinear Caputo sequential fractional differential equation systems

M Awadalla, M Murugesan, M Kannan… - AIMS …, 2024 - aimspress.com
In the present study, established fixed-point theories are utilized to explore the requisite
conditions for the existence and uniqueness of solutions within the realm of sequential …

[PDF][PDF] STABILITY OF A SOLUTION FOR A HYBRID FRACTIONAL DIFFERENTIAL EQUATION

M HANNABOU, M BOUAOUID… - Kragujevac Journal of …, 2026 - imi.pmf.kg.ac.rs
This study focuses on examining the existence, uniqueness, and U-lam stability of a solution
for a hybrid fractional equation by utilizing the derivative of Caputo-Hadamard (CH). The …

[PDF][PDF] On class of fractional impulsive hybrid integro-differential equation

M Hannabou, M Bouaouid, K Hilal - Filomat, 2024 - doiserbia.nb.rs
On class of fractional impulsive hybrid integro-differential equation Page 1 Filomat 38:3 (2024),
1055–1067 https://doi.org/10.2298/FIL2403055H Published by Faculty of Sciences and …