Solutions of Sequential Conformable Fractional Differential Equations around an Ordinary Point and Conformable Fractional Hermite Differential Equation
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
*Author to whom correspondence should be addressed.
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.
Keywords: Sequential conformable fractional differential equation, ordinary point, conformable fractional Hermite differential equation, conformable fractional Hermite polynomials