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arXiv · 1611.01624

On boundary-value problems for a partial differential equation with Caputo and Bessel operators

Praveen Agarwal·Erkinjon Karimov·Murat Mamchuev·Michael Ruzhansky
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Abstract

In this work, we investigate a unique solvability of a direct and inverse source problem for a time-fractional partial differential equation with the Caputo and Bessel operators. Using spectral expansion method, we give explicit forms of solutions to formulated problems in terms of multinomial Mittag-Leffler and first kind Bessel functions.

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Praveen Agarwal, Erkinjon Karimov, Murat Mamchuev, Michael Ruzhansky. 2016-11-05. On boundary-value problems for a partial differential equation with Caputo and Bessel operators. https://arxiv.org/abs/1611.01624

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