Generalized Solution of Transport Equation

DOI10.1007/978-3-031-12416-7_10OpenAlexW4292661108MaRDI QIDQ6130452

Lalla Saadia Chadli, Abdelmjid Benmerrous, Said Melliani, Abdelaziz Moujahid, Mhamed Elomari

Publication date: 3 April 2024

Published in: Lecture Notes in Networks and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-12416-7_10

zbMATH Keywords

transport equationgeneralized solutionColombeau algebraassociation

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Fuzzy partial differential equations (35R13) Fuzzy ordinary differential equations (34A07)

Cites Work

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• Extension of Colombeau algebra to derivatives of arbitrary order D\(^\alpha ,\alpha \in \mathbf R_+ \cup \{0\}\). Application to ODEs and PDEs with entire and fractional derivatives
• Generalized functions in nonlinear models--- a survey.
• Nonlinear Schrödinger equation with singular potential and initial data
• Convolution-type derivatives and transforms of Colombeau generalized stochastic processes
• FOUNDATION OF THE FRACTIONAL CALCULUS IN GENERALIZED FUNCTION ALGEBRAS

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