Extended Riemann-Liouville fractional derivative operator and its applications

Praveen Agarwal, Junesang Choi, Richard B. Paris

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    49 Citations (Scopus)
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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.
    Original languageEnglish
    Pages (from-to)451-466
    Number of pages16
    JournalJournal of Nonlinear Science and Applications (JNSA)
    Issue number5
    Publication statusPublished - 2015


    • Mellin transform
    • Integral representations
    • Gamma function
    • Beta function
    • Riemann-Liouville fractional derivative
    • Hypergeometric functions
    • fox H-function
    • Generating functions


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