Fractional telegraph equations

Journal of Mathematical Analysis and Applications

Volumn 276, Issue 1, 2002, Pages 145-159

  Cascaval, Radu C ^a   Eckstein, Eugene C ^b   Frota, Cicero L ^c   Goldstein, Jerome A ^d  

^a UNIVERSITY OF MISSOURI   (United States)

^b UNIVERSITY OF MEMPHIS   (United States)

^c STATE UNIVERSITY OF MARINGÁ   (Brazil)

^d University of Memphis   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036953671     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00394-3     Document Type: Article

References (11)

1. W. Arendt, C. Batty, M. Hieber, F. Neubrander, Vector-Valued Laplace Transforms and Cauchy Problems, in: Monographs in Math., Birkhäuser, Berlin, 2001.
2. E.C. Eckstein, J.A. Goldstein, M. Leggas, The mathematics of suspensions: Kac walks and asymptotic analyticity, Electron. J. Differential Equations Conf. 03 (1999) 39-50.
3. E.C. Eckstein, M. Leggas, B. Ma, J.A. Goldstein, Linking theory and measurements of tracer particle position in suspension flows, Proc. ASME FEDSM 251 (2000) 1-8.
4. J.A. Goldstein, Semigroups of Linear Operators and Applications, in: Oxford Math. Monographs, Oxford Univ. Press, New York, 1985.
5. A. Hanyga, Multi-dimensional solutions of space-time-fractional diffusion-wave equations, Proc. Roy. Soc. London Ser. A 458 (2002) 429-450.
6. M. Kac, A stochastic model related to the telegrapher's equation, in: Some Stochastic Problems in Physics and Mathematics, in: Lectures Pure Appl. Sci., Vol. 2, Magnolia Petroleum, 1956; reprinted in: Rocky Mountain J. Math. 4 (1974) 497-504.
7. J. Lamperti, Probability, Benjamin, New York, 1966.
8. M. Leggas, Thesis, Biomedical Engineering, University of Tennessee Health Sciences Center, Memphis, TN, 1999.
9. I. Podlubny, Fractional Differential Equations, in: Math. Sci. Engrg., Vol. 198, Academic Press, San Diego, 1999.
10. S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Langhorne, 1993.
11. M. Seredynska, A. Hanyga, Nonlinear Hamiltonian equations with fractional damping, J. Math. Phys. 41 (2000) 2135-2156.