A Simple Reliable Hybrid Method Based on Taylor Series for Generalized Local Fractional Nonlinear Singular Differential Equations

This paper proposes a local fractional derivative of order α when α > 1 ([1]). We also propose a simple method and refer to it as the hybrid Taylor series method, which solves a class of generalized local fractional systems of singular differential equations subject to both initial and boundary conditions. This can be used to compute solutions of even complex nonlinear generalized local fractional singular problems and hence is useful to check the validity of the other numerical methods for such problems involving local generalized fractional derivatives.