Authors: Atanacković, Teodor
Pilipović, Stevan
Zorica, Dušan 
Title: A diffusion wave equation with two fractional derivatives of different order
Journal: Journal of Physics A: Mathematical and Theoretical
Volume: 40
Issue: 20
First page: 5319
Last page: 5333
Issue Date: 18-May-2007
Rank: M22
ISSN: 1751-8113
DOI: 10.1088/1751-8113/40/20/006
Abstract: 
We analyse a diffusion wave equation with two fractional derivatives of different order on bounded and unbounded spatial domains. Thus, our model represents a generalized telegraph equation. Solutions to signalling and Cauchy problems in terms of a series and integral representation are given. Classical wave and heat conduction equations are obtained as limiting cases.
Publisher: Institute of Physics Publishing

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