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Some Fractional Calculus Results Based on Extended Gauss Hypergeometric Functions and Integral Transform
2019
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
Extensions of number of well-known special function such as Beta and Gauss hypergeometric and their properties have been investigated recently by several authors. Our approach is based on the use of Generalized Fractional Calculus (GFC) operators. We aim to investigate the MSM (Marichev-Saigo-Maeda) fractional calculus operator, Caputo-type MSM-fractional differential operator and pathway fractional integral operator of the extended generalized Gauss hypergeometric function. Furthermore, by
doi:10.26782/jmcms.2019.08.00045
fatcat:eawmnx6ca5d2ljm7tti53yx3hi