Existence of solutions for a mixed fractional boundary value problem

Advances in Difference Equations

Adem Klman¹  A Guezane Lakoud²  R Khaldi² 

[1] Department of Mathematics, Universiti Putra Malaysia, Selangor, Malaysia;Laboratory of Advanced Materials, Department of Mathematics, Badji Mokhtar-Annaba University, Annaba, Algeria

关键词: boundary value problem;    fractional derivative;    fixed point theorem;    existence of solution;    integral equation;   

DOI  :  10.1186/s13662-017-1226-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives. For this, we convert the posed problem to a sum of two integral operators, then we apply Krasnoselskii’s fixed point theorem to conclude the existence of nontrivial solutions.

【 授权许可】

CC BY