Extended Riemann-Liouville fractional derivative operator and its applications
Praveen AgarwalDepartment of Mathematics, Anand International College of Engineering, Jaipur-303012, IndiaJunesang ChoiDepartment of Mathematics, Dongguk University, Gyeongju 780-714, Republic of KoreaR. B. ParisSchool of Computing, Engineering and Applied Mathematics, University of Abertay Dundee, Dundee DD1 1HG, UK
2015en
ABI
Abstract
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.
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