Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces

Boundary value problems

Adem Klman¹  Hilmi Ergren² 

[1] Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Serdang, Selangor, Malaysia;Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, Turkey

关键词: boundary value problem;    Caputo type fractional derivative;    existence and uniqueness;    fixed point theorem;    impulsive integro-differential equation;    nonlocal condition;   

DOI  :  10.1186/1687-2770-2012-145

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this study, we establish some conditions for existence and uniqueness of the solutions to semilinear fractional impulsive integro-differential evolution equations with non-local conditions by using Schauder’s fixed point theorem and the contraction mapping principle. MSC:26A33, 34A37.

【 授权许可】

CC BY