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arXiv · 1701.01904

Non-local initial problem for second order time-fractional and space-singular equation

Erkinjon Karimov·Murat Mamchuev·Michael Ruzhansky
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Abstract

In this work, we consider an initial problem for second order partial differential equations with Caputo fractional derivatives in the time-variable and Bessel operator in the space-variable. For non-local boundary conditions, we present a solution of this problem in an explicit form representing it by the Fourier-Bessel series. The obtained solution is written in terms of multinomial Mittag-Leffler functions and first kind Bessel functions.

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Erkinjon Karimov, Murat Mamchuev, Michael Ruzhansky. 2017-01-08. Non-local initial problem for second order time-fractional and space-singular equation. https://arxiv.org/abs/1701.01904

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