Initial boundary value problems for a fractional differential equation with hyper-Bessel operator
Analysis of PDEs
2016-11-22 v2
Abstract
Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart hyper-Bessel operator are considered. Solutions to these problems are constructed based on appropriate eigenfunction expansion and results on existence and uniqueness are established. To solve the resultant equations, a solution to a non-homogeneous fractional differential equation with regularized Caputo-like counterpart hyper-Bessel operator is also presented.
Keywords
Cite
@article{arxiv.1610.05524,
title = {Initial boundary value problems for a fractional differential equation with hyper-Bessel operator},
author = {Fatma Al-Musalhi and Nasser Al-Salti and Erkinjon Karimov},
journal= {arXiv preprint arXiv:1610.05524},
year = {2016}
}
Comments
14 pages, no figures