Generalized convolution

DOI10.1016/J.AMC.2014.09.082zbMath1338.94022OpenAlexW2914941136MaRDI QIDQ299950

José António Tenreiro Machado

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.082

zbMATH Keywords

convolutionfractional calculussignal processing

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (2)

Convolution integral for fractional diffusion equation ⋮ Generalized two-port elements

Uses Software

• CRONE
• Fractional Order Chaotic Systems

Cites Work

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• The human respiratory system. An analysis of the interplay between anatomy, structure, breathing and fractal dynamics
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Fractional calculus for scientists and engineers.
• Fractional order signal processing. Introductory concepts and applications.
• Fractional processes and fractional-order signal processing. Techniques and applications
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional integral and its physical interpretation
• On physical interpretations of fractional integration and differentiation
• Fractional trajectories: decorrelation versus friction
• On the paper by R. R. Nigmatullin ``Fractional integral and its physical interpretation
• Complexity and the fractional calculus
• Fractional convolution, fractional correlation and their translation invariance properties
• Probability interpretation of the integral of fractional order
• Interprétation géométrique de la différentiabilité et du gradient d'ordre réel
• Fractional convolution
• Physical and geometrical interpretation of fractional operators

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