Nonlocal nonlinear integrodifferential equations of fractional orders

Boundary value problems

Dumitru Baleanu¹  Amar Debbouche²  Ravi P Agarwal³ 

[1] Department of Mathematics and Computer Science, Cankaya University, Ankara, Turkey;Department of Mathematics, Faculty of Science, Guelma University, Guelma, Algeria;Institute of Space Sciences, Magurele-Bucharest, Romania

关键词: fractional evolution equation;    nonlocal condition;    Schauder’s fixed point theorem;    uniformly continuous semigroup;   

DOI  :  10.1186/1687-2770-2012-78

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, Schauder fixed point theorem, Gelfand-Shilov principles combined with semigroup theory are used to prove the existence of mild and strong solutions for nonlinear fractional integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. To illustrate our abstract results, an example is given. MSC:35A05, 34G20, 34K05, 26A33.

【 授权许可】

CC BY