Explicit solutions of a certain class of associated Legendre equations by means of fractional calculus

DOI10.1016/J.AMC.2006.08.152zbMath1133.34001OpenAlexW1979486856MaRDI QIDQ884120

Pin-Yu Wang, Yen-Shung Tsai, Shy-Der Lin

Publication date: 13 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.152

zbMATH Keywords

Legendre differential equationdifferential equations of integer and fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Related Items (5)

Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus ⋮ Solutions in the discrete fractional forms of two differential equations with singular points ⋮ Solutions in the discrete fractional forms of two differential equations with singular points ⋮ Explicit solutions of a certain class of differential equations by means of fractional calculus ⋮ Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments

Cites Work

• Some fractional differintegral equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications.
• Remarks on a simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications
• Some families of ordinary and partial fractional differintegral equations
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