FRACTIONAL CALCULUS AND LAMBERT FUNCTION I. LIOUVILLE–WEYL FRACTIONAL INTEGRAL
The interconnection between the Liouville–Weyl fractional integral and the Lambert function is studied. The class of modified Abel equations of the first kind is solved. A new integral formula for the Gamma function and possibly new transform pairs for the Laplace and Mellin transform have been foun...
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Format: | Article |
Language: | English |
Published: |
CTU Central Library
2014-08-01
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Series: | Acta Polytechnica |
Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/2224 |
Summary: | The interconnection between the Liouville–Weyl fractional integral and the Lambert function is studied. The class of modified Abel equations of the first kind is solved. A new integral formula for the Gamma function and possibly new transform pairs for the Laplace and Mellin transform have been found. <br /> |
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ISSN: | 1210-2709 1805-2363 |