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

摘要

In this work, we give the power series solutions around an ordinary point, inthe case of variable coefficients, homogeneous sequential linear conformablefractional differential equations of order 2lpha. Further, we introduce theconformable fractional Hermite differential equations, conformable fractionalHermite polynomials and basic properties of these polynomials.