scientific article; zbMATH DE number 7012593

zbMath1412.46050MaRDI QIDQ4618366

Mohsen Alimohammady, Fariba Fattahi

Publication date: 5 February 2019

Full work available at URL: http://jlta.iauctb.ac.ir/article_510035.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Schrödinger equationColombeau algebraMarchaud fractional differentiation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear differential equations in abstract spaces (34G10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

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
• Multiplications of distributions in elasticity and hydrodynamics
• Fractional derivatives of Colombeau generalized stochastic processes defined on R+

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