Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473426 | Computers & Mathematics with Applications | 2011 | 10 Pages |
Abstract
In this paper, we investigate global uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces. We shall rely on a nonlinear alternative of Leray–Schauder type in Fréchet spaces due to Frigon and Granas. The results are obtained by using the αα-resolvent family (Sα(t))t≥0(Sα(t))t≥0 on a complex Banach space XX combined with the above-mentioned fixed point theorem. As an application, a controllability result with one parameter is also provided to illustrate the theory.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yong-Kui Chang, M. Mallika Arjunan, G.M. N’Guérékata, V. Kavitha,