Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals

DOI10.1515/fca-2015-0070zbMath1343.34011arXiv1504.07568OpenAlexW2962758994MaRDI QIDQ888909

Renato Spigler, Moreno Concezzi, Roberto Garra

Publication date: 3 November 2015

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

Full work available at URL: https://arxiv.org/abs/1504.07568

zbMATH Keywords

anomalous relaxationfractional relaxationErdélyi-Kober integralsfractional oscillations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Monotonic functions, generalizations (26A48) Fractional ordinary differential equations (34A08)

Related Items (8)

A free fractional viscous oscillator as a forced standard damped vibration ⋮ Diffusivity identification in a nonlinear time-fractional diffusion equation ⋮ Analysis of fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions ⋮ Effect of perturbation in the numerical solution of fractional differential equations ⋮ Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models ⋮ A study of fractional differential equations and inclusions with nonlocal Erdélyi-Kober type integral boundary conditions ⋮ A foundational approach to the Lie theory for fractional order partial differential equations ⋮ The \(l\)-problem of moments for one-dimensional integro-differential equations with Erdélyi-Kober operators

Cites Work

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• Mittag-Leffler Functions, Related Topics and Applications
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