Ulam–Hyers Stability and Uniqueness for Nonlinear Sequential Fractional Differential Equations Involving Integral Boundary Conditions

A Al-khateeb, H Zureigat, O Ala'yed, S Bawaneh - Fractal and Fractional, 2021 - mdpi.com
Fractional-order boundary value problems are used to model certain phenomena in
chemistry, physics, biology, and engineering. However, some of these models do not meet …

A study of coupled systems of mixed order fractional differential equations and inclusions with coupled integral fractional boundary conditions

SK Ntouyas, HH Al-Sulami - Advances in Difference Equations, 2020 - Springer
In this work we investigate existence and uniqueness of solutions for new coupled systems
of mixed order fractional differential equations and inclusions supplemented with coupled …

[PDF][PDF] Population growth modeling via Rayleigh-Caputo fractional derivative

M Awadalla, YYY Noupoue… - Journal of Statistics …, 2021 - naturalspublishing.com
This article is concerned with the prediction of population growth using the logistic growth
model in the case when the carrying capacity K for the population tends to infinity. A new …

Numerical solution of a fractional coupled system with the Caputo-Fabrizio fractional derivative

I Mansouri, MM Bekkouche… - Journal of Applied …, 2023 - yadda.icm.edu.pl
Within this work, we discuss the existence of solutions for a coupled system of linear
fractional differential equations involving Caputo-Fabrizio fractional orders. We prove the …

Leray–Schauder Alternative for the Existence of Solutions of a Modified Coupled System of Caputo Fractional Differential Equations with Two Point's Integral …

A Al-Khateeb, H Zureigat, K Abuasbeh, E Fadhal - Symmetry, 2023 - mdpi.com
In this paper, a coupled system of differential equations involving fractional order with
integral boundary conditions is discussed. In the problem at hand, three main aspects that …

Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions

NI Mahmudov, A Al-Khateeb - Journal of Inequalities and Applications, 2019 - Springer
We study the existence and uniqueness of solutions for coupled sequential fractional
differential equations involving Caputo fractional derivative of order 1< α≤ 2 1<α≦2 with …

[PDF][PDF] Analytical and numerical study of a linear coupled system involving Caputo-Fabrizio fractional derivative with boundary conditions

I Mansouri, MM Bekkouche, AA Ahmed, F Yazid… - Fract. Differ …, 2023 - researchgate.net
This article is concerned with a coupled system of linear fractional differential equations of
Caputo-Fabrizio type conformable fractional derivation with boundary conditions. In order to …

[PDF][PDF] STABILITY AND EXISTENCE OF SOLUTIONS FOR A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

J Qian, Y Su, X Han, Y Yun - Journal of Applied Analysis & …, 2023 - jaac-online.com
In this paper, we study a coupled system of Caputo type fractional differential equations with
integral boundary conditions. By Leray-Schauder alternative theorem, the existence of …

Computational Numerical Solution Algorithm for Fractional Differential Equations

SHS Bawa'neh - 2019 - i-rep.emu.edu.tr
This study focused on three main problems, firstly, a study on the existence of the solution for
a coupled system of fractional differential equations with integral boundary conditions. The …