A new extension and applications of Caputo fractional derivative operator
Keyword(s):
AbstractThe main objective of this paper is to introduce a further extension of the extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions. Additionally, we investigate the extended fractional derivative of some familiar special functions, the Mellin transform of the newly defined Caputo fractional derivative operator and generating relations for the extensions of extended hypergeometric functions.
2018 ◽
2010 ◽
Vol 52
(9-10)
◽
pp. 1825-1833
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2017 ◽
Vol 24
(4)
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pp. 415-425
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