A further extension of Mittag-Leffler function
In this paper an extended generalized Mittag-Leffler function and the corresponding fractional integral operator are defined and used to obtain generalizations of Opial-type inequalities due to Mitrinović and Pečarić. Also, some interesting properties of this function and its integral operator are d...
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Published in | Fractional calculus & applied analysis Vol. 21; no. 5; pp. 1377 - 1395 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Warsaw
Versita
25.10.2018
De Gruyter Walter de Gruyter GmbH |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper an extended generalized Mittag-Leffler function
and the corresponding fractional integral operator
are defined and used to obtain generalizations of Opial-type inequalities due to Mitrinović and Pečarić. Also, some interesting properties of this function and its integral operator are discussed. Several known results are deduced. |
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ISSN: | 1311-0454 1314-2224 |
DOI: | 10.1515/fca-2018-0072 |