Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses
โ Scribed by Wang, JinRong; Li, Xuezhu
- Book ID
- 121578015
- Publisher
- Springer-Verlag
- Year
- 2014
- Tongue
- English
- Weight
- 513 KB
- Volume
- 46
- Category
- Article
- ISSN
- 1598-5865
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๐ SIMILAR VOLUMES
Abstract In the present manuscript we analyze non-linear multi-order fractional differential equation $$L\left( D \right)u\left( t \right) = f\left( {t,u\left( t \right)} \right), t \in \left[ {0,T} \right], T > 0,$$ where $$L\left( D \right) = \lambda \_n ^c D^{\alpha \_n } + \lambda \_{n - 1} ^c D
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 ฮฑ โ (2, 3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results.