On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions

被引：11

作者：

Mahmudov, Nazim I. ^{[1
]}

Bawaneh, Sameer ^{[1
]}

Al-Khateeb, Areen ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Mersin 10, TR-99628 Gazimagusa, Tr North Cyprus, Turkey

来源：

MATHEMATICS | 2019年 / 7卷 / 03期

关键词：

fractional calculus; Caputo derivative; fractional differential equations; EXISTENCE; CHAOS; SYNCHRONIZATION; APPROXIMATION; NONEXISTENCE; DIFFUSION;

D O I：

10.3390/math7030279

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The study is on the existence of the solution for a coupled system of fractional differential equations with integral boundary conditions. The first result will address the existence and uniqueness of solutions for the proposed problem and it is based on the contraction mapping principle. Secondly, by using Leray-Schauder's alternative we manage to prove the existence of solutions. Finally, the conclusion is confirmed and supported by examples.

引用

页数：14

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