Non-local initial problem for second order time-fractional and space-singular equation
Analysis of PDEs
2021-01-05 v1
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.
Cite
@article{arxiv.1701.01904,
title = {Non-local initial problem for second order time-fractional and space-singular equation},
author = {Erkinjon Karimov and Murat Mamchuev and Michael Ruzhansky},
journal= {arXiv preprint arXiv:1701.01904},
year = {2021}
}
Comments
9 pages