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

Emrah Ünal; Ahmet Gökdoğan; Ercan Çelik

doi:10.9734/BJAST/2015/18590

Research Article Open access CC BY 4.0

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

Emrah Ünal, Ahmet Gökdoğan, Ercan Çelik

Current Journal of Applied Science and Technology · pp. 1–11 · Published 18 Jun 2015

10.9734/BJAST/2015/18590

Abstract

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 2α. Further, we introduce the conformable fractional Hermite differential equations, conformable fractional Hermite polynomials and basic properties of these polynomials.

Sequential conformable fractional differential equation ordinary point conformable fractional Hermite differential equation conformable fractional Hermite polynomials

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Emrah Ünal, Ahmet Gökdoğan, Ercan Çelik (2015). Solutions of Sequential Conformable Fractional Differential Equations around an Ordinary Point and Conformable Fractional Hermite Differential Equation. Current Journal of Applied Science and Technology , 1–11. https://doi.org/10.9734/BJAST/2015/18590

Affiliations

Emrah Ünal — Department of Elementary Mathematics Education, Artvin Çoruh University, 08100 Artvin, Turkey
Ahmet Gökdoğan — Department of Mathematical Engineering, Gümüşhane University, 29100 Gümüşhane, Turkey
Ercan Çelik — Department of Mathematics, Atatürk University, 25400 Erzurum, Turkey

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