Two-sided and regularised Riesz-Feller derivatives

Manuel Duarte Ortigueira

doi:10.1002/mma.5720

Two-sided and regularised Riesz-Feller derivatives

Manuel Duarte Ortigueira

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

The two-sided derivatives, the Riesz-Feller potentials, and their interrelations are studied in this paper. A general integral formulation for two-sided derivatives and anti-derivatives is introduced. The integer order cases are studied. Regularised Riesz-Feller derivatives are proposed.

Original language	English
Pages (from-to)	8057-8069
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	10
Early online date	Jul 2019
DOIs	https://doi.org/10.1002/mma.5720
Publication status	Published - 15 Jul 2021

Keywords

fractional derivatives and integrals
fractional differential equations
fractional partial differential equations

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10.1002/mma.5720

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title = "Two-sided and regularised Riesz-Feller derivatives",

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AB - The two-sided derivatives, the Riesz-Feller potentials, and their interrelations are studied in this paper. A general integral formulation for two-sided derivatives and anti-derivatives is introduced. The integer order cases are studied. Regularised Riesz-Feller derivatives are proposed.

KW - fractional derivatives and integrals

KW - fractional differential equations

KW - fractional partial differential equations

UR - https://www.scopus.com/pages/publications/85069823204

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DO - 10.1002/mma.5720

M3 - Article

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JO - Mathematical Methods in the Applied Sciences

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ER -

Two-sided and regularised Riesz-Feller derivatives

Abstract

Keywords

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