A NOTE ON FRACTIONAL DERIVATIVE AND ITS APPLICATIONS

Authors

  • 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.)

Keywords:

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

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.

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Published

2023-06-07

Issue

Vol. 6 No. 01 (2017): Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Section

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