Article ID Journal Published Year Pages File Type
471823 Computers & Mathematics with Applications 2010 9 Pages PDF
Abstract

In this paper we shall study a fractional integral equation in an arbitrary Banach space XX. We used the analytic semigroups theory of linear operators and the fixed point method to establish the existence and uniqueness of solutions of the given problem. We also prove the existence of global solution. The existence and convergence of the Faedo–Galerkin solution to the given problem is also proved in a separable Hilbert space with some additional assumptions on the operator AA. Finally we give an example to illustrate the applications of the abstract results.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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