Solving Fractional Derivative of Some Functions

S. Ruban Raj; S. Sahaya Jernith

doi:https://doi.org/10.14445/22315373/IJMTT-V52P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 2 | Year 2017 | Article Id. IJMTT-V52P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P512

Solving Fractional Derivative of Some Functions

S. Ruban Raj, S. Sahaya Jernith

Abstract

In this paper we aim to compare both Riemann‐Liouville and Caputo fractional derivatives of some functions like algebraic, trigonometric, logarithmic, exponential and constant.

Keywords

Riemann‐Liouville Method, Caputo Method, Fractional Derivative, Fractional Integral.

References

[1] T. Davis, Harold, The Theory of Linear Operator,Principia Press, 1936.
[2] I.S. Gradshteyn and I.M.Ryzhik, Tables of Integrals, Series and Products, Academic Press,New York, 1980.
[3] I. Podlubny, Fractional differential equations ‐An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, Academic Press, San Diego, CA, 1999.
[4] B. Riemann Versuch einer Auffasung der Integration and Differentiation. Gesammelt Werke, Teubner, 1876.

Citation :

S. Ruban Raj, S. Sahaya Jernith, "Solving Fractional Derivative of Some Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 2, pp. 88-92, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P512