Non-differentiable solutions for local fractional nonlinear Riccati differential equations

TL;DR

This paper explores solutions to local fractional nonlinear Riccati differential equations by transforming them into linear equations, focusing on cases with constant coefficients and deriving non-differentiable solutions for specific instances.

Contribution

It introduces a method to solve LFNRDE by converting them into linear equations and provides explicit non-differentiable solutions for particular cases with constant coefficients.

Findings

Transformation of LFNRDE into linear equations

Explicit non-differentiable solutions for special cases

Focus on equations with constant coefficients

Abstract

We investigate local fractional nonlinear Riccati differential equations (LFNRDE) by transforming them into local fractional linear ordinary differential equations. The case of LFNRDE with constant coefficients is considered and non-differentiable solutions for special cases obtained.