English

Existence of Solution to a Local Fractional Nonlinear Differential Equation

Classical Analysis and ODEs 2016-10-18 v1

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.

Keywords

Cite

@article{arxiv.1601.02126,
  title  = {Existence of Solution to a Local Fractional Nonlinear Differential Equation},
  author = {Benaoumeur Bayour and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1601.02126},
  year   = {2016}
}

Comments

This is a preprint of a paper whose final and definite form will be published in Journal of Computational and Applied Mathematics, ISSN: 0377-0427. Paper Submitted 04/Jul/2015; Revised 14/Dec/2015 and 03/Jan/2016; Accepted for publication 08/Jan/2016