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

Advances in Difference Equations

Mohamed I Abbas¹ 

[1] Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

关键词: boundary value problem;    Hölder’s inequality;    Schaefer’s fixed point theorem;    Banach contraction principle;    34A08;    34A12;    26A16;    26A33;    34B10;   

DOI  :  10.1186/s13662-015-0581-9

学科分类：数学（综合）

来源: SpringerOpen

【 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 Hölder’s inequality together with Banach contraction principle and Schaefer’s fixed point theorem.

【 授权许可】

CC BY