On boundary-value problems for a partial differential equation with Caputo and Bessel operators
Analysis of PDEs
2016-11-08 v1
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.
Cite
@article{arxiv.1611.01624,
title = {On boundary-value problems for a partial differential equation with Caputo and Bessel operators},
author = {Praveen Agarwal and Erkinjon Karimov and Murat Mamchuev and Michael Ruzhansky},
journal= {arXiv preprint arXiv:1611.01624},
year = {2016}
}
Comments
11 pages