A Study of Some Fractional Functions

Chii-Huei Yu

doi:https://doi.org/10.14445/22315373/IJMTT-V66I3P514

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P514

A Study of Some Fractional Functions

Chii-Huei Yu

Abstract

This paper studies the basic properties of some elementary fractional functions such as fractional exponential function, fractional trigonometric functions, and fractional hyperbolic functions. The Mittag-Leffler function plays an important role in this article, and the results obtained in this article are the generalizations of the ones of the classical functions, and are useful to solve the fractional differential problems.

Keywords

Fractional exponential function, Fractional trigonometric functions, Fractional hyperbolic functions, Mittag-Leffler function

References

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Citation :

Chii-Huei Yu, "A Study of Some Fractional Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 92-98, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P514