New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function |
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| Authors: | Lu-Lu Geng Xiao-Jun Yang Abdulrahman Ali Alsolami |
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| Affiliation: | 1. School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, China;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | In the paper, we consider some fractional integral formulas in terms of the Riemann–Liouville, Erdélyi–Kober type, and Weyl fractional integral operators and present the general fractional kinetic model involving the hypergeometric superhyperbolic sine function via the Gauss hypergeometric series. |
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| Keywords: | fractional differential equations fractional integral operators hypergeometric superhyperbolic sine function integral transforms pochhammer symbol |
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