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Exact Solutions for Classes of Nonlinear Differential Equations on Fractal Supports

General Mathematics 2025-11-04 v1

Abstract

In this paper, the exact solutions of certain non-linear differential equations defined on a fractal subset of the real line are presented. Particular attention is paid to the Riccati-type fractal differential equation, for which a connection with the Schrodinger equation is also provided.

Keywords

Cite

@article{arxiv.2511.00036,
  title  = {Exact Solutions for Classes of Nonlinear Differential Equations on Fractal Supports},
  author = {Donatella Bongiornoa and Alireza Khalili Golmankhanehb},
  journal= {arXiv preprint arXiv:2511.00036},
  year   = {2025}
}