Generalized fractional Dirac type operators
Classical Analysis and ODEs
2023-10-04 v2
Abstract
We introduce a class of fractional Dirac type operators with time variable coefficients by means of a Witt basis, the Djrbashian-Caputo fractional derivative and the fractional Laplacian, both operators defined with respect to some given functions. Direct and inverse fractional Cauchy type problems are studied for the introduced operators. We give explicit solutions of the considered fractional Cauchy type problems. We also use a recent method to recover a variable coefficient solution of some inverse fractional wave and heat type equations. Illustrative examples are provided.
Cite
@article{arxiv.2101.11725,
title = {Generalized fractional Dirac type operators},
author = {Joel E. Restrepo and Michael Ruzhansky and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2101.11725},
year = {2023}
}
Comments
Accepted for publication in the journal Fractional Calculus and Applied Analysis