New function of Mittag–Leffler type and its application in the fractional diffusion-wave equation

Rui Yu and Hongqing Zhang

Chaos, Solitons & Fractals, 2006, vol. 30, issue 4, 946-955

Abstract: The classical Mittag–Leffler (M–L) functions have already proved their efficiency as solutions of fractional-order differential and integral equations. In this paper we introduce a modified M–L type function and deduce its important integral transforms. Then the solution of the initial-boundary value problem for the so-called fractional diffusion-wave equation with real-order time and space derivatives is given by using the inverse Fourier transform of the new function.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:4:p:946-955

DOI: 10.1016/j.chaos.2005.08.151

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