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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

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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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