On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation
β Scribed by Jin Liang, Sheng-Hua Yan, Fang Li, Ting-Wen Huang
- Book ID
- 119906747
- Publisher
- Springer International Publishing AG
- Year
- 2012
- Tongue
- English
- Weight
- 254 KB
- Volume
- 2012
- Category
- Article
- ISSN
- 1687-1839
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π SIMILAR VOLUMES
This work is concerned with the existence of anti-periodic mild solutions for a class of semilinear fractional differential equations where 1 < a < 2, A is a linear densely defined operator of sectorial type of x < 0 on a complex Banach space X and F is an appropriate function defined on phase spac
## a b s t r a c t We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allo