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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 2\alpha. Further, we introduce theconformable fractional Hermite differential equations, conformable fractionalHermite polynomials and basic properties of these polynomials.

british journal of applied science and technology

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