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On some generalisations of the Riemann-Liouville and Weyl fractional integrals and their applications

Published online by Cambridge University Press:  18 May 2009

J. S. Lowndes
J. S. Lowndes
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow.
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1. For functions f ∈ LLoc[0, ∞) the Riemann-Liouville operator of fractional integration I∞ is defined by

and its adjoint operator, the Weyl operator Kα, is defined by

for functions f ∈ LLoc[0, ∞) having a suitable behaviour at infinity.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 22 , Issue 2 , July 1981 , pp. 173 - 180
Copyright
Copyright © Glasgow Mathematical Journal Trust 1981

References

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