ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

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

Journal of Applied Nonlinear Dynamics 6(2) (2017) 243--249 | DOI:10.5890/JAND.2017.06.009

Constantin Milici; Gheorghe Drăgănescu

$^{1}$ Department of Mathematics, Polytechnic University of Timisoara, Timi¸soara, RO 300222, Romania

$^{2}$ Department of Mechanics, Polytechnic University of Timisoara, Timi¸soara, RO 300222, Romania

Abstract

In this paper we introduce and establish the solutions for the fractional Hermite, Legendre and Bessel equations. The construction of the solution is established on the basis of Müntz - Szász theorem [19]. These new equations open new applications in the field of fractional quantum models, or to new applications in engineering.

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