Inverse Source Problems for Degenerate Time-Fractional PDE

نویسندگان

چکیده

In this paper, we investigate two inverse source problems for degenerate time-fractional partial differential equation in rectangular domains. The first problem involves a space-degenerate and the second one time-degenerate equation. Solutions to both are expressed series expansions. For problem, obtained solutions form of Fourier-Legendre series. Convergence uniqueness have been discussed. Fourier-Sine they involve generalized Mittag- Leffler type function. Moreover, established new estimate Mittag-Leffler results illustrated by providing example using certain given data at initial final time.

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ژورنال

عنوان ژورنال: Progress in Fractional Differentiation and Applications

سال: 2022

ISSN: ['2356-9336', '2356-9344']

DOI: https://doi.org/10.18576/pfda/080102