New Forms of Conformable Fractional Derivative Using Backward and Central Difference

Authors

  • Rajratana Maroti Kamble Assistant Professor, Department of Mathematics, Shri Vitthal Rukhmini Arts Commerce and Science College, Yavatmal, India
  • S. S. Zampalwad Head, Department of Mathematics, Gramin Mahavidyalaya, Nanded, India

Keywords:

backward difference, central difference, conformable fractional derivative, fractional derivative new forms of conformable fractional derivative

Abstract

In this paper we define two new forms of conformable fractional derivative formed by using backward and central difference. These forms satisfy Linearity property, product rule, Quotient rule, and derivative constant is zero. And these forms satisfy all the properties by conformable fractional derivative. (using forward difference). These forms satisfy the previous results for ordinary derivative and derivative of some standard function. This define forms coinside with the classical definition of first order derivative.

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Published

11-02-2022

Issue

Vol. 1 No. 2 (2022)

Section

Articles

How to Cite

[1]
R. M. Kamble and S. S. Zampalwad, “New Forms of Conformable Fractional Derivative Using Backward and Central Difference”, IJMDES, vol. 1, no. 2, pp. 6–8, Feb. 2022, Accessed: Dec. 21, 2024. [Online]. Available: https://journal.ijmdes.com/ijmdes/article/view/9