On some operators involving Hadamard derivatives
- 11 January 2013
- journal article
- research article
- Published by Taylor & Francis Ltd in Integral Transforms and Special Functions
- Vol. 24 (10), 773-782
- https://doi.org/10.1080/10652469.2012.756875
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.Keywords
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