𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the existence, uniqueness and topological structure of solution sets to a certain fractional differential equation

✍ 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.

✦ 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.


πŸ“œ SIMILAR VOLUMES


On the global existence of solutions to
✍ Dumitru BΔƒleanu; Octavian G. Mustafa πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 434 KB

## 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 of Periodic Solutions f
✍ M. Feckan πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 359 KB

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

Remarks on the existence and uniqueness
✍ Yong Ren; Shiping Lu; Ningmao Xia πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 151 KB

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((-∞, 0]; R d ) which denotes the family of bounded continuous R d -value functions defined on (-∞, 0] with norm = sup -∞< 0 | ( )|