A diffusion wave equation with two fractional derivatives of different order
Teodor M. AtanackovićDepartment of Mechanics, Faculty of Technical Sciences, PO Box 55, University of Novi Sad, 21121 Novi Sad, SerbiaStevan PilipovićDepartment of Mathematics, University of Novi Sad, 21000 Novi Sad, SerbiaDušan ZoricaDepartment of Physics, Faculty of Civil Engineering, University of Novi Sad, 23000 Subotica, Serbia
2007en
ABI
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.
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