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A Numerical Approach for Solving of Fractional Emden-Fowler Type Equations

Numerical Analysis 2024-12-20 v1 Numerical Analysis Classical Analysis and ODEs

Abstract

In the paper, we utilize the fractional differential transformation (FDT) to solving singular initial value problem of fractional Emden-Fowler type differential equations. The solutions of our model equations are calculated in the form of convergent series with fast computable components. The numerical results show that the approach is correct, accurate and easy to implement when applied to fractional differential equations.

Keywords

Cite

@article{arxiv.1901.02503,
  title  = {A Numerical Approach for Solving of Fractional Emden-Fowler Type Equations},
  author = {Josef Rebenda and Zdeněk Šmarda},
  journal= {arXiv preprint arXiv:1901.02503},
  year   = {2024}
}

Comments

Proceedings of International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2017)