|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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