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Abstract The 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… Click to show full abstract
Abstract The 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.
Keywords:
derivative operator;
fractional derivative;
caputo fractional;
derivative;
extension
Journal Title: Analysis
Year Published: 2020
Link to full text (if available)
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Journal Title: Analysis
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!