On Some Operators Involving Hadamard Derivatives
Analysis of PDEs
2014-06-30 v1
Abstract
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators. We discuss then the utility of these results to solve some integro-differential equations involving these operators by means of operational methods. We show the advantage of our approach through some examples. Among these, an application to a modified Lamb--Bateman integral equation is presented.
Cite
@article{arxiv.1304.1058,
title = {On Some Operators Involving Hadamard Derivatives},
author = {Roberto Garra and Federico Polito},
journal= {arXiv preprint arXiv:1304.1058},
year = {2014}
}