Fractional Calculus involving (p, q)-Mathieu Type Series
2020 ◽
Vol 5
(2)
◽
pp. 15-34
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Keyword(s):
AbstractAim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p, q)-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced. Further, a new generalized form of the fractional kinetic equation involving the series is also developed. The solutions of fractional kinetic equations are presented in terms of the Mittag-Leffler function. The results established here are quite general in nature and capable of yielding both known and new results.
2020 ◽
Vol 2020
◽
pp. 1-7
◽
2021 ◽
Vol 10
(5)
◽
pp. 2593-2610
2005 ◽
Vol 37
(2)
◽
pp. 366-392
◽
2005 ◽
Vol 37
(02)
◽
pp. 366-392
◽
2020 ◽
Vol 5
(1)
◽
pp. 369-384
2015 ◽
Vol 2015
◽
pp. 1-7
◽
Keyword(s):