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Time-fractional integro-differential equations in power growth function spaces
Journal article   Peer reviewed

Time-fractional integro-differential equations in power growth function spaces

Phung Dinh Tran, Duc Thanh Dinh, Tuan Kim Vu, M. Garayev and H. Guediri
Fractional calculus & applied analysis, Vol.26(2), pp.751-780
01/04/2023

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
In this paper we study the global solvability of Riemann-Liouville and Caputo time-fractional integro-differential equations in a space of functions with square average power growth. We prove the uniqueness of corresponding inverse problems for one point observation.

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