On approximate solutions for a class of semilinear fractional-order differential equations in Banach spaces
Abstract We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the equation is a closed unbounded generator of a C 0 $C_{0}$ -semigroup. We also suppos...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-12-01
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| Series: | Fixed Point Theory and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13663-017-0621-0 |