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A Fractional Differentiation Theorem for the Laplace Transform

Published online by Cambridge University Press:  20 November 2018

J. Conlan  and
E. L. Koh
J. Conlan
Affiliation:
University of ReginaReginaSaskatchewan
E. L. Koh
Affiliation:
University of ReginaReginaSaskatchewan Department of Mathematics, University of Regina, Regina, Saskatchewan
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In certain systems analysis ([1], [2], [3]), it is essential to invert the n-dimensional Laplace transform and specify the inverse image at a single variable t.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 4 , October 1975 , pp. 605 - 606
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Lubbock, F. K. and Bansal, V. S., Multidimensional Laplace transforms for solution of nonlinear equations, Proc. I.E.E. 166 (1969), 2075–2082.Google Scholar
2. Brilliant, M. B., Theory of the analysis of nonlinear systems, M.I.T. Research Lab. of Electronics Report #345 (1958).Google Scholar
3. Barrett, J. F., The use of functional in the analysis of nonlinear physical systems, J. Elec. Control 15 (1963), 567–615.Google Scholar
4. Koh, E. L., Association of variables in n-dimensional Laplace transforms, Int. J. of Systems Sci. (to appear).Google Scholar
5. Erdelyi, A., et al., Tables of integral transforms, McGraw-Hill, New York, Vol. II (1954).Google Scholar