Abstract
We consider an abstract second order semilinear integrodifferential equation involving fractional time derivatives of order between 0 and 2. Well-posedness is established under appropriate conditions on the initial data and the nonlinearities. These conditions which depend on the order of the fractional derivatives determine the exact underlying space.
| Original language | English |
|---|---|
| Pages (from-to) | 491-504 |
| Number of pages | 14 |
| Journal | Communications in Applied Analysis |
| Volume | 14 |
| Issue number | 3-4 |
| State | Published - Jul 2010 |
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Modeling and Simulation
- Applied Mathematics
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