New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function
Lu‐Lu Geng, Xiao‐Jun Yang, Abdulrahman Ali Alsolami
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.
Topics & Concepts
MathematicsGeneralized hypergeometric functionSineHypergeometric functionConfluent hypergeometric functionHypergeometric function of a matrix argumentFractional calculusSeries (stratigraphy)Basic hypergeometric seriesHypergeometric distributionType (biology)Mathematical analysisAppell seriesGaussPure mathematicsPhysicsGeometryPaleontologyBiologyQuantum mechanicsEcologyFractional Differential Equations SolutionsMathematical functions and polynomialsDifferential Equations and Boundary Problems