Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
β Scribed by Bashir Ahmad; S. Sivasundaram
- Publisher
- Elsevier
- Year
- 2009
- Tongue
- English
- Weight
- 516 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1751-570X
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β¦ Synopsis
In this paper, we discuss some existence results for a two-point boundary value problem involving nonlinear impulsive hybrid differential equation of fractional order q β (1, 2].
Our results are based on contraction mapping principle and Krasnoselskii's fixed point theorem.
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 prove the existence and uniqueness of solutions for an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order Ξ± β (2, 3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results.