A distributional theory of fractional calculus

DOI10.1017/S0308210500014360zbMath0567.46015MaRDI QIDQ3683013

Wilson Lamb

Publication date: 1985

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

fractional powers of operatorsfractional integration and differentiationdifferential and integral operators on certain spaces of generalized functionsdistributional versions of the Riemann-Liouville and Weyl operators of fractional calculus

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10)

Related Items (max. 100)

Convolutional approach to fractional calculus for distributions of several variables ⋮ On extremal domains and codomains for convolution of distributions and fractional calculus ⋮ A fractional power approach to fractional calculus ⋮ Fractional glassy relaxation and convolution modules of distributions ⋮ About fractional integrals in the space of locally integrable functions ⋮ Antisoliton model for fission modes. ⋮ Fractional powers of operators and Riesz fractional integrals ⋮ Fourier multipliers on spaces of distributions ⋮ Fourier multipliers on spaces of distributions ⋮ On the fractional integral of Weyl in \(L^ p\)

Cites Work

• Unnamed Item
• Decomposition of an Integral Operator by Use of Mikusiński Calculus
• Two index laws for fractional integrals and derivatives

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