NUMERICAL SOLUTION OF A FRACTIONAL COUPLED SYSTEM WITH THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE

被引：5

作者：

Mansouri, Ikram ^{[1
,2
]}

Bekkouche, Mohammed Moumen ^{[1
]}

Ahmed, Abdelaziz Azeb ^{[1
]}

机构：

[1] El oued Univ, Fac Exact Sci, Dept Math, El Oued 39000, Algeria

[2] Lab Operator Theory & PDE Fdn & Applicat, El Oued, Algeria

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2023年 / 22卷 / 01期

关键词：

the Caputo-Fabrizio fractional derivative; fractional integral; coupled system; fractional differential equation; fixed point; Adomian decomposition method; BOUNDARY-VALUE PROBLEM;

D O I：

10.17512/jamcm.2023.1.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 existence and uniqueness of the solution by using the Picard-Lindelo center dot f method and fixed point theory. Also, to compute an approximate solution of problem, we utilize the Adomian decomposition method (ADM), as this method provides the solution in the form of a series such that the infinite series converge to the exact solution. Numer-ical examples are presented to illustrate the validity and effectiveness of the proposed method.

引用

页码：46 / 56

页数：11

共 50 条

[31] Solutions of the Fractional Differential Equations Including Caputo-Fabrizio, Caputo, and Integer Order Derivatives via SMV Polynomials
Yaslan, H. cerdik
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2025, 38 (02)
[32] Mathematical Modelling of HIV/AIDS Treatment Using Caputo-Fabrizio Fractional Differential Systems
Manikandan, S.
Gunasekar, T.
Kouidere, A.
Venkatesan, K. A.
Shah, Kamal
Abdeljawad, Thabet
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (04)
[33] The novel cubic B-spline method for fractional Painleve′ and Bagley-Trovik equations in the Caputo, Caputo-Fabrizio, and conformable fractional sense
Shi, Lei
Tayebi, Soumia
Abu Arqub, Omar
Osman, M. S.
Agarwal, Praveen
Mahamoud, W.
Abdel-Aty, Mahmoud
Alhodaly, Mohammed
ALEXANDRIA ENGINEERING JOURNAL, 2023, 65 : 413 - 426
[34] A New Compact Alternating Direction Implicit Method for Solving Two Dimensional Time Fractional Diffusion Equation With Caputo-Fabrizio Derivative
Taghipoura, Mehran
Aminikhah, Hossein
FILOMAT, 2020, 34 (11) : 3609 - 3626
[35] Ulam stabilities of nonlinear coupled system of fractional differential equations including generalized Caputo fractional derivative
Nabil, Tamer
AIMS MATHEMATICS, 2021, 6 (05): : 5088 - 5105
[36] Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola-Caputo Fractional Derivative
Ahmad, Manzoor
Jiang, Jiqiang
Zada, Akbar
Shah, Syed Omar
Xu, Jiafa
COMPLEXITY, 2020, 2020
[37] Semi-analytical and numerical study of fractal fractional nonlinear system under Caputo fractional derivative
Algahtani, Obaid
Saifullah, Sayed
Ali, Amir
AIMS MATHEMATICS, 2022, 7 (09): : 16760 - 16774
[38] Caputo-Fabrizio type fractional differential equations with non-instantaneous impulses: Existence and stability results
Benzahi, Ahlem
Abada, Nadjet
Arar, Nouria
Idris, Sahar Ahmed
Abdo, Mohammed S.
Shatanawi, Wasfi
ALEXANDRIA ENGINEERING JOURNAL, 2024, 87 : 186 - 200
[39] Application of the Caputo–Fabrizio derivative without singular kernel to fractional Schrödinger equations
Fatma El-Ghenbazia Bouzenna
Mohammed Tayeb Meftah
Mosbah Difallah
Pramana, 2020, 94
[40] A theoretical study of the Caputo-Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control
Mohammadi, Hakimeh
Kumar, Sunil
Rezapour, Shahram
Etemad, Sina
CHAOS SOLITONS & FRACTALS, 2021, 144 (144)

← 1 2 3 4 5 →