Back to Search
Start Over
On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel.
- Source :
-
Proceedings of the American Mathematical Society . Aug2021, Vol. 149 Issue 8, p3317-3334. 18p. - Publication Year :
- 2021
-
Abstract
- In this paper, we study a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, we give a mild solution of our problem. Our main tool here is using some Sobolev embeddings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 149
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 150690140
- Full Text :
- https://doi.org/10.1090/proc/15472