Statistical reinterpretation of dielectric relaxation models

DOI10.1016/j.cnsns.2021.106117zbMath1482.78005OpenAlexW3216780524MaRDI QIDQ2074159

Luan Ozelim, Charandeep Singh Sodhi, Pushpa N. Rathie

Publication date: 4 February 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106117

zbMATH Keywords

Mellin transformrelaxationratio of random variablesCauchy distributionDagum distributionDebyealgebra of random variablesKramers-Kronig equations

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Characterization and structure theory of statistical distributions (62E10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) PDEs with randomness, stochastic partial differential equations (35R60) Waves and radiation in optics and electromagnetic theory (78A40) Volterra integral equations (45D05) Integro-partial differential equations (35R09) Fokker-Planck equations (35Q84)

Cites Work

• The Volterra type equations related to the non-Debye relaxation
• Special Functions for Applied Scientists
• Recovering a probability density function from its Mellin transform
• Unnamed Item

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