Solution of differential equations with polynomial coefficients with the aid of an analytic continuation of Laplace transform

DOI10.3390/MATH4010019zbMath1339.33010OpenAlexW2297638595MaRDI QIDQ272141

Tohru Morita, Ken-ichi Sato

Publication date: 20 April 2016

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math4010019

zbMATH Keywords

Laplace transformfractional calculusdistribution theoryoperational calculushypergeometric differential equationKummer's differential equation

Mathematics Subject Classification ID

Laplace transform (44A10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Solution of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function

Cites Work

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• A tutorial review on fractal spacetime and fractional calculus
• The algebraic derivative and Laplace's differential equation
• Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
• Liouville and Riemann-Liouville fractional derivatives via contour integrals
• Asymptotic expansions of fractional derivatives and their applications
• Solution of Fractional Differential Equation in Terms of Distribution Theory
• Neumann-Series Solution of Fractional Differential Equation
• Fractional Derivatives and Special Functions

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