Coupled system of three sequential Caputo fractional differential equations: Existence and stability analysis

被引：8

作者：

Ganie, Abdul Hamid ^{[1
]}

Houas, Mohamed ^{[2
]}

AlBaidani, Mashael M. ^{[3
]}

Fathima, Dowlath ^{[1
]}

机构：

[1] Saudi Elect Univ, Coll Sci & Theoret Studies, Basic Sci Dept, Riyadh 11673, Saudi Arabia

[2] Khemis Miliana Univ, Lab FIMA, UDBKM, Ain Defla, Algeria

[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities, Dept Math, Al Kharj 11942, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 13期

关键词：

Caputo fractional derivative; coupled system; fixed point; existence; Ulam-Hyers stability;

D O I：

10.1002/mma.9278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, many studies on fractional coupled systems involving different sequential fractional derivatives have appeared during the past several years. The paper is dealing with a coupled system of three sequential Caputo fractional differential equations, and the designed system absorbs none of the commutativity and the semigroup properties. The Banach contraction principle is used for proving the existence and uniqueness results. We prove the existence of at least one is obtained by using the Leray-Schauder alternative. The Ulam-Hyers-Rassias stability of the considered system is defined and discussed. An illustrative example is also presented.

引用

页码：13631 / 13644

页数：14

共 50 条

[31] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR CAPUTO-HADAMARD SEQUENTIAL FRACTIONAL ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Ahmad, Bashir
Ntouyas, Sotiris K.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[32] Existence and Stability Results for Impulsive Implicit Fractional Differential Equations with Delay and Riesz–Caputo Derivative
Wafaa Rahou
Abdelkrim Salim
Jamal Eddine Lazreg
Mouffak Benchohra
Mediterranean Journal of Mathematics, 2023, 20
[33] On a coupled system of sequential fractional differential equations with variable coefficients and coupled integral boundary conditions
Ahmad, Bashir
Alsaedi, Ahmed
Aljoudi, Shorog
Ntouyas, Sotiris K.
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2017, 60 (01): : 3 - 18
[34] Existence and Uniqueness of Solution of Caputo Fractional Differential Equations
Mahto, Lakshman
Abbas, Syed
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 896 - 899
[35] Existence Results for Nonlinear Sequential Caputo and Caputo-Hadamard Fractional Differential Equations with Three-Point Boundary Conditions in Banach Spaces
Lachouri, Adel
Ardjouni, Abdelouaheb
Djoudi, Ahcene
FILOMAT, 2022, 36 (14) : 4717 - 4727
[36] Existence Results and Ulam–Hyers Stability for a Fully Coupled System of Nonlinear Sequential Hilfer Fractional Differential Equations and Integro-Multistrip-Multipoint Boundary Conditions
Ravi P. Agarwal
Afrah Assolami
Ahmed Alsaedi
Bashir Ahmad
Qualitative Theory of Dynamical Systems, 2022, 21
[37] Existence and Ulam-Hyers Stability Results for a System of Coupled Generalized Liouville-Caputo Fractional Langevin Equations with Multipoint Boundary Conditions
Awadalla, Muath
Subramanian, Muthaiah
Abuasbeh, Kinda
SYMMETRY-BASEL, 2023, 15 (01):
[38] Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations
Muthaiah, Subramanian
Baleanu, Dumitru
Thangaraj, Nandha Gopal
AIMS MATHEMATICS, 2021, 6 (01): : 168 - 194
[39] Ulam stabilities of nonlinear coupled system of fractional differential equations including generalized Caputo fractional derivative
Nabil, Tamer
AIMS MATHEMATICS, 2021, 6 (05): : 5088 - 5105
[40] Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann-Stieltjes Integral Boundary Conditions
Salem, Ahmed
Almaghamsi, Lamya
SYMMETRY-BASEL, 2021, 13 (11):

← 1 2 3 4 5 →