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June 2020 Non-local initial problem for second order time-fractional and space-singular equation
Erkinjon KARIMOV, Murat MAMCHUEV, Michael RUZHANSKY
Hokkaido Math. J. 49(2): 349-361 (June 2020). DOI: 10.14492/hokmj/1602036030

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.

Citation

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Erkinjon KARIMOV. Murat MAMCHUEV. Michael RUZHANSKY. "Non-local initial problem for second order time-fractional and space-singular equation." Hokkaido Math. J. 49 (2) 349 - 361, June 2020. https://doi.org/10.14492/hokmj/1602036030

Information

Published: June 2020
First available in Project Euclid: 7 October 2020

zbMATH: 07276080
MathSciNet: MR4159175
Digital Object Identifier: 10.14492/hokmj/1602036030

Subjects:
Primary: 35R11
Secondary: 33E12

Rights: Copyright © 2020 Hokkaido University, Department of Mathematics

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Vol.49 • No. 2 • June 2020
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