We prove existence and uniqueness theorems for some classes of nonlinear fractional differential equations.
The Existence of a Positive Solution for a Nonlinear Fractional Differential Equation
โ Scribed by Shuqin Zhang
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 71 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
We prove existence and uniqueness theorems for a nonlinear fractional differential equation.
๐ SIMILAR VOLUMES
We consider the nonlinear singular differential equation where ยต and ฯ are two positive Radon measures on 0 ฯ not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the
In this paper we shall study the existence of a periodic solution to the nonlinear ลฝ . ลฝ ลฝ .. differential equation x q Ax y A\*x y A\*Ax q B t x q f t, x t s 0 in some complex Hilbert space, using duality and variational methods.
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