On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel

نویسندگان

چکیده

In this paper, we study a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces. By applying the properties of functions and method eigenvalue expansion, give mild solution our problem. Our main tool here is using some Sobolev embeddings.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2021

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/15472