On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives

被引：15

作者：

Abbas, M. I. ^{[1
]}

Ghaderi, M. ^{[2
]}

Rezapour, Sh. ^{[2
,3
]}

Thabet, S. T. M. ^{[4
]}

机构：

[1] Alexandria Univ, Dept Math & Comp Sci, Fac Sci, Alexandria 21511, Egypt

[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Univ Aden, Dept Math, Aden, Yemen

来源：

JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷

关键词：

OPERATOR;

D O I：

10.1155/2022/4779213

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the Riemann-Liouville type. By using the Schauder and Banach fixed point theorems, we study the existence and uniqueness of solutions for the aforesaid system. Finally, we present an example to validate our theoretical outcomes.

引用

页数：10

共 38 条

[1] On the Hybrid Fractional Differential Equations with Fractional Proportional Derivatives of a Function with Respect to a Certain Function [J].

Abbas, Mohamed, I ;

Ragusa, Maria Alessandra .

SYMMETRY-BASEL, 2021, 13 (02) :1-16

[2] Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory [J].

Abbas, Said ;

Benchohra, Mouffak ;

Karapinar, Erdal .

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2021, 29 (03) :5-21

[3] Some fractional integral formulas for the Mittag-Leffler type function with four parameters [J].

Agarwal, Praveen ;

Nieto, Juan J. .

OPEN MATHEMATICS, 2015, 13 :537-546

[4] Extended Riemann-Liouville fractional derivative operator and its applications [J].

Agarwal, Praveen ;

Choi, Junesang ;

Paris, R. B. .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05) :451-466

[5] EXISTENCE OF SOLUTIONS FOR A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED NONLOCAL BOUNDARY CONDITIONS [J].

Ahmad, Bashir ;

Luca, Rodica .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (02) :423-441

[6] On the Existence and Stability of a Neutral Stochastic Fractional Differential System [J].

Ahmad, Manzoor ;

Zada, Akbar ;

Ghaderi, Mehran ;

George, Reny ;

Rezapour, Shahram .

FRACTAL AND FRACTIONAL, 2022, 6 (04)

[7] On fractional impulsive system for methanol detoxification in human body [J].

Ain, Qura tul ;

Khan, Aziz ;

Ullah, Muhammad Irfan ;

Alqudah, Manar A. ;

Abdeljawad, Thabet .

CHAOS SOLITONS & FRACTALS, 2022, 160

[8] Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean (n, β)-Normed Spaces [J].

Alessa, Nazek ;

Tamilvanan, K. ;

Loganathan, K. ;

Selvi, K. Kalai .

JOURNAL OF FUNCTION SPACES, 2021, 2021

[9] A Caputo discrete fractional-order thermostat model with one and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality [J].

Alzabut, Jehad ;

Selvam, A. George Maria ;

Dhineshbabu, Raghupathi ;

Tyagi, Swati ;

Ghaderi, Mehran ;

Rezapour, Shahram .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)

[10]

Anderson D.R., 2015, Advances in Dynamical Systems and Applications, V10, P109

← 1 2 3 4 →