Existence and uniqueness of solution for a boundary value problem of fractional order involving two Caputo's fractional derivatives

被引：17

作者：

Abbas, Mohamed I. ^{[1
]}

机构：

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

boundary value problem; Holder's inequality; Schaefer's fixed point theorem; Banach contraction principle; DIFFERENTIAL-EQUATIONS;

D O I：

10.1186/s13662-015-0581-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence and uniqueness of solution for a boundary value problem of fractional order involving two Caputo's fractional derivatives. Our investigation is based on Holder's inequality together with Banach contraction principle and Schaefer's fixed point theorem.

引用

页数：19

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