On The Coupled System of ψ-Caputo Fractional Differential Equations With Four-Point Boundary Conditions

被引：0

作者：

Abbas, Mohamed, I ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS E-NOTES | 2021年 / 21卷

关键词：

EXISTENCE; RESPECT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence and uniqueness of solutions of boundary value problems for coupled systems of psi-Caputo fractional differential equations with four-point boundary conditions. The main results are established by the aid of the Leray-Schauder alternative and the Banach's fixed point theorem. Two examples are provided in order to illustrate the theoretical results.

引用

页码：563 / 576

页数：14

共 35 条

[1] Abbas M.I., 2020, INT J MATH ANAL, V14, P77, DOI 10.12988/ijma.2020.91283
[2] Abbas M.I, 2019, J NONLIN SCI APPL, V12, P573
[3] On the initial value problems for the Caputo-Fabrizio impulsive fractional differential equations
Abbas, Mohamed, I
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (05)
[4] On the Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay
Abbas, Mohamed I.
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2019, 10 (02) : 505 - 514
[5] Abbas MI, 2015, EUR J PURE APPL MATH, V8, P478
[6] Ulam Stability of Fractional Impulsive Differential Equations with Riemann-Liouville Integral Boundary Conditions
Abbas, Mohamed I.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2015, 50 (05): : 209 - 219
[7] Existence and uniqueness of solution for a boundary value problem of fractional order involving two Caputo's fractional derivatives
Abbas, Mohamed I.
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[8] Abdo MS, 2019, P INDIAN AS-MATH SCI, V129, DOI 10.1007/s12044-019-0514-8
[9] Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions
Agarwal, Ravi P.
Ahmad, Bashir
Garout, Doa'a
Alsaedi, Ahmed
[J]. CHAOS SOLITONS & FRACTALS, 2017, 102 : 149 - 161
[10] On Fully Coupled Nonlocal Multi-point boundary Value Problems of Nonlinear Mixed-order Fractional Differential Equations on an Arbitrary Domain
Ahmad, Bashir
Ntouyas, Sotiris K.
Alsaedi, Ahmed
[J]. FILOMAT, 2018, 32 (13) : 4503 - 4511

← 1 2 3 4 →