Korean J. Math. Vol. 27 No. 2 (2019) pp.487-503
DOI: https://doi.org/10.11568/kjm.2019.27.2.487

# Certain results involving fractional operators and special functions

## 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.

## Supporting Agencies

University of Guilan

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