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.
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页数：19
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