Almost automorphic solutions to a class of semilinear fractional differential equations
β Scribed by Claudio Cuevas; Carlos Lizama
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 277 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper is concerned with almost automorphy of the solutions to a nonautonomous semilinear evolution equation u (t) = A(t)u(t) + f (t, u(t)) in a Banach space with a Stepanov-like almost automorphic nonlinear term. We establish a composition theorem for Stepanov-like almost automorphic functions
We study in this paper the properties of C (n) -almost automorphic and asymptotically C (n) -almost automorphic functions (a new concept) with values in a Banach space. We then give a new result related to the existence and uniqueness of an asymptotically almost automorphic solution of a semilinear