N-Fractional Calculus Operator Nη Method Applied to a Gegenbauer Differential Equation

Year 2012, Volume: 9 Issue: 1, - , 01.02.2012

Reşat Yılmazer , Ökkeş Öztürk

Abstract

By means of fractional calculus techniques, we find explicit solutions of the
Gegenbauer equation. We use the N-fractional calculus operator Nη method to derive the
solutions of these equations.

Keywords

Fractional calculus, Gegenbauer equation, ordinary differential equation, generalized Leibniz rule

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