A NOTE ON FRACTIONAL DERIVATIVE AND ITS APPLICATIONS

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 286

Volume : 6 , Issue : 1
DOI:
Author :
Satya Prakash Singh (Department of Mathematics T.D.P.G. College, Jaunpur - 222002, U.P., INDIA.)
Vijay Yadav (Department of Mathematics and Statistics S.P.D.T. College, Andehri (E), Mumbai-400059, INDIA)
Priyanka Singh (Department of Mathematics T.D.P.G. College, Jaunpur - 222002, U.P., INDIA.)

Abstract

In this paper, starting from the historical developments of fractional calculus, certain results regarding fractional calculus have been discussed. These
results have been further used to establish transformation formulae for ordinary hypergeometric series as well as for q-hypergeometric series.

Keywords and Phrases

Fractional derivative, fractional q-derivative, transformation formula, hypergeometric series, q-hypergeometric series.

A.M.S. subject classification

Primary 11A55, 33D15, 33D90; Secondary 11F20, 33F05.

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