On the fractional solution of the equation \(f(x+y)=f(x)f(y)\) and its application to fractional Laplace's transform

DOI10.1016/j.amc.2012.08.004zbMath1291.26003OpenAlexW2022787284MaRDI QIDQ2250182

Guy Jumaric

Publication date: 4 July 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.004

zbMATH Keywords

Mittag-Leffler functionfractional calculusfractional integralfractional Laplace's transformfractional logarithm

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items (4)

Analytical solution of the space-time fractional nonlinear Schrödinger equation ⋮ On the invalidity of Fourier series expansions of fractional order ⋮ A new operator splitting method for American options under fractional Black-Scholes models ⋮ Solution of moving boundary space-time fractional Burger's equation

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