Some miscellaneous properties and applications of certain operators of fractional calculus
type: Item
instance of: scholarly article
title: Some miscellaneous properties and applications of certain operators of fractional calculus
zbMATH Open document ID: 1223.26009
author: Shy-Der Lin
author: H. M. Srivastava
published in: Taiwanese Journal of Mathematics
publication date: 2011-05-18T00:00:00Z
review text: From the abstract: The main object of this paper is to consider some miscellaneous properties and applications which are associated with several fractional differintegral operators. We investigate, in a systematic and unified manner, various families of series identities which emerged in connection with some fractional differintegral formulas. By using such operators of fractional calculus, a number of integral formulas as well as fractional differintegral formulas involving inverse hyperbolic functions are also evaluated.
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 5896869
zbMATH Keywords: fractional integral: fractional derivative
zbMATH Keywords: generalized hypergeometric function
zbMATH Keywords: inverse hyperbolic function
reviewed by: S. G. Samko
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500406085
OpenAlex ID: W1552006028
DOI: 10.11650/TWJM/1500406085
description: scientific article; zbMATH DE number 5896869