Fractional calculus of periodic distributions

DOI10.2478/s13540-011-0016-6zbMath1499.46080OpenAlexW1992972326MaRDI QIDQ2347544

Khaula Naeem Khan, Wilson Lamb, A. C. McBride

Publication date: 28 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/30368/

zbMATH Keywords

fractional derivativesdistributionsfractional integralssemigroups of operators

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33) Groups and semigroups of linear operators (47D03) Topological linear spaces of test functions, distributions and ultradistributions (46F05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (5)

Normal periodic solutions for the fractional abstract Cauchy problem ⋮ Convolutional approach to fractional calculus for distributions of several variables ⋮ A theory of summability on a space of generalized functions ⋮ Analysis of resonance and bifurcation in a fractional order nonlinear Duffing system ⋮ On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions

Cites Work

• Semigroups of operators in locally convex spaces
• Fractional transformations of generalized functions
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