Non-Differentiable Exact Solutions for the Nonlinear ODEs Defined on Fractal Sets

Date

2017

Authors

Yang, Xiao-Jun
Gao, Feng
Srivastava, H.M.

Journal Title

Journal ISSN

Volume Title

Publisher

Fractals

Abstract

In the present paper, a family of the special functions via the celebrated Mittag-Leffler function defined on the Cantor sets is investigated. The nonlinear local fractional ODEs (NLFODEs) are presented by following the rules of local fractional derivative (LFD). The exact solutions for these problems are also discussed with the aid of the non-differentiable charts on Cantor sets. The obtained results are important for describing the characteristics of the fractal special functions.

Description

Keywords

nonlinear ODEs, Local Fractional Derivative, Mittag-Leffler Function, Cantor Sets

Citation

Yang, X.; Gao, F.; & Srivastava, H.M. (2017). Non-differentiable exact solutions for the nonlinear ODEs defined on fractal sets. Fractals, 25(4), 174002. http://dx.doi.org/10.1142/S0218348X17400023