Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces

Advances in Difference Equations

Dumitru Baleanu¹  Chokkalingam Ravichandran² 

[1] Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey;Department of Mathematics, RVS Faculty of Engineering, Coimbatore, India

关键词: fractional Calculus;    Caputo fractional derivative;    existence;    fixed point theorem;    measures of noncompactness;   

DOI  :  10.1186/1687-1847-2013-215

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces. The main techniques rely on the fractional calculus, properties of characteristic solution operators, Mönch’s fixed point theorem via measures of noncompactness. Particularly, we do not assume that characteristic solution operators are compact. The application is given to illustrate the theory. The results of this article are generalization and improvement of the recent results on this issue. MSC:26A33, 34A12, 47H08, 47H10.

【 授权许可】

CC BY