In this paper, we investigate the nonlinear differential equation of fractional order. C D a 0ΓΎ uΓ°tΓ ΒΌ f Γ°t; uΓ°tΓ; u 0 Γ°tΓΓ; 1 < a 6 2; 0 < t < 1; where C D a 0ΓΎ is the Caputo fractional derivative, subject to the boundary conditions. By means of Schauder's fixed point theorem and an extension of
Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
β Scribed by C.F. Li; X.N. Luo; Yong Zhou
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 673 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper, we are concerned with the nonlinear differential equation of fractional order
where D Ξ± 0+ is the standard Riemann-Liouville fractional order derivative, subject to the boundary conditions
We obtain the existence and multiplicity results of positive solutions by using some fixed point theorems.
π SIMILAR VOLUMES
In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations of order q β (1, 2] with irregular boundary conditions in a Banach space. Our results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem.
In this paper, we consider the existence of positive solutions to the singular boundary value problem for fractional differential equation. Our analysis relies on a fixed point theorem for the mixed monotone operator.