## a b s t r a c t We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allo
On the existence, uniqueness and topological structure of solution sets to a certain fractional differential equation
β Scribed by Daria Bugajewska; Piotr Kasprzak
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 561 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
The main goal of this paper is to prove two Aronszajn type theorems for some initial value problems formulated in terms of fractional derivatives. Moreover, we are going to establish a theorem on the existence and uniqueness of positive solutions.
π SIMILAR VOLUMES
Bifurcations of periodic solutions are studied for certain types of weakly perturbed partial differential equations. It is shown that a bifurcation occurs for almost all (in the sense of the Lebesque measure) periodic small perturbations. A generalized implicit function theorem is applied. (" 1995 A
In this paper, we obtain some results on the existence and uniqueness of solutions to stochastic functional differential equations with infinite delay at phase space BC((-β, 0]; R d ) which denotes the family of bounded continuous R d -value functions defined on (-β, 0] with norm = sup -β< 0 | ( )|