Solutions of Sequential Conformable Fractional Differential Equations around an Ordinary Point and Conformable Fractional Hermite Differential Equation

In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous sequential linear conformable fractional differential equations of order 2\alpha. Further, we introduce the conformable fractional Hermite differential equations, conformable...

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Bibliographic Details
Published in:arXiv.org 2015-03
Main Authors: Ünal, Emrah, Gökdoğan, Ahmet, Çelik, Ercan
Format: Article
Language:English
Subjects:
Differential equations
Hermite polynomials
Mathematical analysis
Power series
Online Access:Get full text
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Summary:In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous sequential linear conformable fractional differential equations of order 2\alpha. Further, we introduce the conformable fractional Hermite differential equations, conformable fractional Hermite polynomials and basic properties of these polynomials.
ISSN:2331-8422
DOI:10.48550/arxiv.1503.05407