Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel

DOI10.1007/s00033-019-1086-2zbMath1408.26011OpenAlexW2912649085MaRDI QIDQ666619

Dazhi Zhao, Hong-Guang Sun

Publication date: 6 March 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1086-2

zbMATH Keywords

fractional calculusanomalous relaxationGC derivativePrabhakar-like kernel

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items (13)

Properties of \(\psi\)-Mittag-Leffler fractional integrals ⋮ Oversampling collocation method for the Volterra integral equation with contaminated data ⋮ Recursive formulae for the analytic solution of the nonlinear spatial conformable fractional evolution equation ⋮ A PROBABILISTIC INTERPRETATION OF THE DZHRBASHYAN FRACTIONAL INTEGRAL ⋮ Stability of fractional-order systems with Prabhakar derivatives ⋮ A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators ⋮ Volterra-Prabhakar function of distributed order and some applications ⋮ The Volterra type equations related to the non-Debye relaxation ⋮ General fractional calculus and Prabhakar's theory ⋮ Resonance behavior for a generalized Mittag-Leffler fractional Langevin equation with hydrodynamic interactions ⋮ A system of Cauchy fractional differential equations and new properties of Mittag-Leffler functions with matrix argument ⋮ A note on the article ``Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel ⋮ DIFFUSION ON FRACTAL OBJECTS MODELING AND ITS PHYSICS-INFORMED NEURAL NETWORK SOLUTION

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