Global solvability of a continuous model for nonlocal fragmentation dynamics in a moving medium

DOI10.1155/2013/320750zbMath1296.35022OpenAlexW1991094844WikidataQ59023598 ScholiaQ59023598MaRDI QIDQ460446

Emile Franc Doungmo Goufo, Suares Clovis Oukouomi Noutchie

Publication date: 13 October 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/320750

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for linear first-order PDEs (35F10)

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Positivity and contractivity in the dynamics of clusters' splitting with derivative of fractional order ⋮ A mathematical analysis of fractional fragmentation dynamics with growth ⋮ Existence results for a Michaud fractional, nonlocal, and randomly position structured fragmentation model ⋮ Mathematical solvability of a Caputo fractional polymer degradation model using further generalized functions ⋮ Exact solutions of fragmentation equations with general fragmentation rates and separable particles distribution kernels ⋮ Evolution equations with a parameter and application to transport-convection differential equations ⋮ Approximation result for non-autonomous and non-local rock fracture models ⋮ Global analysis of a discrete nonlocal and nonautonomous fragmentation dynamics occurring in a moving process ⋮ A biomathematical view on the fractional dynamics of cellulose degradation

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