Extended Riemann-Liouville fractional derivative operator and its applications

By Praveen Agarwal, Junesang Choi, Richard B. Paris. 2015

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Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by Srivastava et al. [22] and investigate its various (potentially) useful and (presumably) new properties and formulas, for example, integral representations, Mellin transforms, generating functions, and the extended fractional derivative formulas for some familiar functions. c

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0a0b9db9554a9764c4b0bb2cb5d35e00352c2dec