Abstract
The problem here is to give a new derivation of a certain family of representations for the solution of the diffusion problem. The derivation of these representations are greatly facilitated by utilizing the techniques of fractional integration by parts.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Donaldson, J.A., "New Integral Representations for Solutions of Cauchy's Problem for Abstract Parabolic Equations," Proc. of the National Academy of Sciences, vol. 68 (1971), pp. 2025–2027.
Love, E.R. and Young, L.C., "On Fractional Integration by Parts," Proc. London Math. Society, ser. 2, vol. 44 (1938), pp. 1–35.
Widder, D.V., The Laplace Transform, Princeton University Press, 1941, pp. 70–75.
Editor information
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this chapter
Cite this chapter
Donaldson, J.A. (1975). A family of integral representations for the solution of the diffusion equation. In: Ross, B. (eds) Fractional Calculus and Its Applications. Lecture Notes in Mathematics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067102
Download citation
DOI: https://doi.org/10.1007/BFb0067102
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07161-7
Online ISBN: 978-3-540-69975-0
eBook Packages: Springer Book Archive