[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2019.27.2.487

CERTAIN RESULTS INVOLVING FRACTIONAL OPERATORS AND SPECIAL FUNCTIONS

Aghili, Arman (Department of Applied Mathematics Faculty of Mathematical Science University of Guilan)

Publication Information

Korean Journal of Mathematics / v.27, no.2, 2019 , pp. 487-503 More about this Journal

Abstract

In this study, the author provided a discussion on one dimensional Laplace and Fourier transforms with their applications. It is shown that the combined use of exponential operators and integral transforms provides a powerful tool to solve space fractional partial differential equation with non - constant coefficients. The object of the present article is to extend the application of the joint Fourier - Laplace transform to derive an analytical solution for a variety of time fractional non - homogeneous KdV. Numerous exercises and examples presented throughout the paper.

Keywords

Laplace transforms; Fourier transforms; $Kr{\ddot{a}}tzel$ function; Hankel transforms; Riemann - Liouville fractional derivative;

Citations & Related Records

Reference

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