# Substitution Method for Fractional Differential Equations

@article{Dubovski2022SubstitutionMF, title={Substitution Method for Fractional Differential Equations}, author={Pavel B. Dubovski and J. A. Slepoi}, journal={ArXiv}, year={2022}, volume={abs/2201.10098} }

Numerical solving differential equations with fractional derivatives requires elimination of the singularity which is inherent in the standard definition of fractional derivatives. The method of integration by parts to eliminate this singularity is well known. It allows to solve some equations but increases the order of the equation and sometimes leads to wrong numerical results or instability. We suggest another approach: the elimination of singularity by substitution. It does not increase the…

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