| Title | WELL-POSEDNESS FOR AN ABSTRACT SEMILINEAR VOLTERRA INTEGRO-FRACTIONAL-DIFFERENTIAL PROBLEM |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | TATAR, NASSER-EDDINE |
| Secondary Title | Communications in Applied Analysis |
| Volume | 14 |
| Issue | 4 |
| Start Page | 491 |
| Pagination | 504 |
| Date Published | 12/2010 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 26A33, 34G20, 35L10, 35L70, 35L90 |
| 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. |
| URL | http://www.acadsol.eu/en/articles/14/4/6.pdf |
| Short Title | WELL-POSEDNESS FOR A FRACTIONAL PROBLEM |
| Refereed Designation | Refereed |
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