Name
Title | ||
|---|---|---|
On some classes of almost automorphic functions and applications to fractional differential equations |
Abstract | ||
|---|---|---|
We study in this paper the properties of C(n)-almost automorphic and asymptoticallyC(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 fractional differential equation of the form Dαx(t)=Ax(t)+F(t,x(t),Bx(t)) with t∈R,0<α<1, where A generates a family of α-resolvent family Sα(t) and f satisfies some Lipschitz conditions. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.camwa.2009.05.008 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Fractional differential equation,C(n)-almost automorphic functions,Asymptotically almost automorphic functions | Uniqueness,Discrete mathematics,Differential equation,Of the form,Resolvent,Mathematical analysis,Banach space,Lipschitz continuity,Mathematics | Journal |
Volume | Issue | ISSN |
59 | 3 | 0898-1221 |
Citations | PageRank | References |
5 | 0.73 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| G.M. Mophou | 1 | 31 | 6.27 |
| G.M. N’Guérékata | 2 | 29 | 5.19 |