Basic Analogue of Fractional Derivative and Some Special Functions


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Authors

  • V. S. Dhakar Department of Mathematics, ITM Group of Institutions Gwalior, Gwalior, India
  • Smita Sharma Department of Mathematics, ITM Group of Institutions Gwalior, Gwalior, India

Keywords:

The basic q-analogue, q-integral and differentia operator, Bessel-Maitland function, multiindex Mittag-Leffler function and F-function

Abstract

The main objects of this paper is devoted to the basic analogues of fractional differentiation of classical functions and a theorem on term by term basic analogues of fractional differentiation has been derived, which is an extension of the result given by Yadav and Purohit (2004) [11]. Several special cases are also mentioned.

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Published

15-06-2019

How to Cite

V. S. Dhakar, & Smita Sharma. (2019). Basic Analogue of Fractional Derivative and Some Special Functions. International Journal of Mathematics And Its Applications, 7(2), 89–96. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/251

Issue

Vol. 7 No. 2 (2019)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.