Integrodifferential equation which interpolates the heat equation and the wave equation (II)

Osaka Journal of Mathematics

Volumn 27, Issue 4, 1990, Pages 797-804

  Fujita, Yasuhiro ^a  

^a UNIVERSITY OF TOYAMA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972571026     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. A.V. Balakrishnan: Fractional powers of closed operators and the semigroups gen-erated hy them, Pacific J. Math. 10 (1960), 419-437.
2. N.H. Bingham: Maxima of sums of random variables and suprema of stable pro-cesses, Z. Wahrscheinlichkeitstheorie verw. Geb. 26 (1973), 273-296.
3. P.L. Butzer and U. Westphal: An access to fractional differentiation via fractio-nal difference quotients, Lect. Notes in Math. 457, Springer, Berlin Heidelberg New York, 1975, 116-145.
4. A. Erdelyi: Higher transcendental functions Vol. 3, McGraw-Hill, New York Toronto London, 1955.
5. W. Feller: An introduction to probability theory and its applications Vol 2, John Wiley, New York Lodnon Sydney Toronto, 1966.
6. Y. Fujita: Integrodifferential equation which interpolates the heat equation and the wave equation, Osaka J. Math. 27 (1990), 309-321.
7. E. Lukács: Characteristic Functions, Second edition. Griffin, London, 1960.
8. H. Pollard: The completely monotonic character of the Mittag-Leffler function Ea(-x), Bull. Amer. Math. Soc. 54 (1948), 1115-1116.
9. W.R. Schneider and W. Wyss; Fractional diffusion and wave equations, J. Math. Phys. 30 (1989), 134-144.
10. C.J. Stone: The set of zeros of a semi-stable process, Illinois J. Math. 7 (1963), 631-637.