A NOTE ON FRACTIONAL DERIVATIVE AND ITS APPLICATIONS

Satya Prakash Singh; Vijay Yadav; Priyanka Singh

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.

Volume 6, Issue 1 Pages 63-70 June 30, 2017 584 downloads

Article overview

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 derivativefractional q-derivativetransformation formulahypergeometric seriesq-hypergeometric series.

AMS Subject Classification

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

Reference information

How to Cite

Satya Prakash Singh, Vijay Yadav, Priyanka Singh (2017). A NOTE ON FRACTIONAL DERIVATIVE AND ITS APPLICATIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 6(1), 63-70.

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