Abstract: The purpose of this paper is to solve fractional differential equations by using fractional Laplace transforms based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative. A new multiplication of fractional analytic functions plays a vital role in this research. We give some examples to illustrate the application of fractional Laplace transform in solving fractional differential equations. In fact, the method we use is a natural generalization of the Laplace transforms of analytic functions.
Keywords: fractional differential equations, fractional Laplace transforms, Jumarie’s modified R-L fractional derivative, new multiplication, fractional analytic functions.
Title: Using Fractional Laplace Transform to Solve Fractional Differential Equations
Author: Chii-Huei Yu
International Journal of Electrical and Electronics Research
ISSN 2348-6988 (online)
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