Article
On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
Author/s | Caraballo Garrido, Tomás
Ngoc, Tran Bao Tuan, Nguyen Huy Wang, Renhai |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2021-08-01 |
Deposit Date | 2021-07-30 |
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Abstract | In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is studied. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, ... In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is studied. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, the existence of a mild solution of our problem is proved. The main tool to prove our results is the use of some Sobolev embeddings. |
Citation | Caraballo Garrido, T., Ngoc, T.B., Tuan, N.H. y Wang, R. (2021). On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel. Proceedings of the American Mathematical Society, 149 (8), 3317-3334. |
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