Generalization of the equations of Hermite, Legendre and Bessel for the Fractional Case

DOI10.5890/JAND.2017.06.009zbMath1373.26006OpenAlexW2623809584MaRDI QIDQ5373781

Constantin Milici, Gheorghe Drăgănescu

Publication date: 27 October 2017

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/jand.2017.06.009

zbMATH Keywords

fractional calculusfractional differential equationBessel differential equationLegendre differential equationHermite differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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Cites Work

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• Gauge invariance in fractional field theories
• Advanced quantum mechanics: QM II
• Generalized Hermite polynomials associated with functions of parabolic cylinder
• Numerical solution of the space fractional Fokker-Planck equation.
• Fractional-order Legendre functions for solving fractional-order differential equations
• Fractional diffusion and wave equations
• Advances in Fractional Calculus
• The Lane - Emden Fractional Homogenous Differential Equation
• Generalization of the equations of Hermite, Legendre and Bessel for the Fractional Case