Existence of Solution to a Local Fractional Nonlinear Differential Equation

TL;DR

This paper establishes the existence of solutions for a local fractional nonlinear differential equation using a novel concept called tube solution, contributing to the mathematical understanding of fractional differential equations.

Contribution

Introduces the notion of tube solution to prove the existence of solutions for local fractional nonlinear differential equations.

Findings

Existence of solutions proven for the specified differential equation.

Introduction of the tube solution concept.

Framework applicable to similar fractional differential problems.

Abstract

We prove existence of solution to a local fractional nonlinear differential equation with initial condition. For that we introduce the notion of tube solution.