English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

With the development of the fractional calculus theory, it has been found that many non-differentiable phenomena in real world can be described by using non-linear local fractional differential equations [1-7]. In most cases, the local fractional differential equations were applied to model problems in fractal mathematics and engineering. They have attracted lots of attention among scientists [8-15]. Finding non-differentiable solutions is the hot topics. But, in general, it is difficult to obtain an exact analytic solution for a non-linear local fractional differential equation. Some approximate methods have largely been used to handle these equations [16-20]. Recently, some useful techniques have been successfully applied to local fractional differential equations. The main techniques include the decomposition method and Yang-Laplace transform method with local fractional operator, see [1, 16-20]. In this paper, our aim is to use the local fractional Yang-Laplace decomposition method to solve the following non-linear local fractional Burgers equation:

Approximate solution for burgers equation with local fractional derivative by Yang-Laplace decomposition method