Existence of solutions of initial value problems for nonlinear fractional differential equations on the half-axis
โ Scribed by Chunhai Kou; Huacheng Zhou; Ye Yan
- Book ID
- 108216780
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 261 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations of order q โ (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.
We discuss the solvability of integral equations associated with initial value problems for a nonlinear differential equation of fractional order. The differential operator is the Caputo fractional derivative and the inhomogeneous term depends on the fractional derivative of lower orders. We obtain