Title: Cauchy problem on fractional integro-differential evolution equations with infinite delay in fractional power space
Authors: Jie Xin; JinRong Wang
Addresses: School of Mathematics and Information, Ludong University, Yantai 264025, China ' Department of Mathematics, Guizhou University, Guiyang 550025, China
Abstract: In this paper, we study the existence of mild solutions for a class of fractional integro-differential evolution equations with infinite delay in Banach spaces. An appropriate concept for α-mild solutions is introduced. Some existence results for α-mild solutions are investigated. An example is given to illustrate the results.
Keywords: fractional integro-differential evolution equations; infinite delay; mild solutions; analytic compact semigroups; Banach spaces; Cauchy problem.
International Journal of Dynamical Systems and Differential Equations, 2012 Vol.4 No.4, pp.363 - 378
Available online: 25 Mar 2013 *Full-text access for editors Access for subscribers Purchase this article Comment on this article