Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

Povstenko, Yuriy

Birkhauser Verlag AG

10/2016

460

Mole

Inglês

9783319373492

7139

Descrição não disponível.
1.Introduction.- 2.Mathematical Preliminaries.- 3.Physical Backgrounds.- 4.Equations with one Space Variable in Cartesian Coordinates.- 5.Equations with one Space Variable in Polar Coordinates.- 6.Equations with one Space Variable in Spherical Coordinates.- 7.Equations with two Space Variables in Cartesian Coordinates.- 8.Equations in Polar Coordinates.- 9.Axisymmetric equations in Cylindrical Coordinates.- 10.Equations with three Space Variables in Cartesian Coordinates.- 11.Equations with three space Variables in Cylindrical Coordinates.- 12.Equations with three space Variables in Spherical Coordinates.- Conclusions.- Appendix: Integrals.- References.
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Caputo derivative;Fractional calculus;Integral transforms;Mittag-Leffler function;diffusion-wave equation