Exact Solution for Nonlinear Local Fractional Partial Differential Equations

Abstract

In this work, we extend the existing local fractional Sumudu decomposition method to solve the nonlinear local fractional partial differential equations. Then, we apply this new algorithm to resolve the nonlinear local fractional gas dynamics equation and nonlinear local fractional Klein-Gordon equation, so we get the desired non-differentiable exact solutions. The steps to solve the examples and the results obtained, showed the flexibility of applying this algorithm, and therefore, it can be applied to similar examples.

Keywords

• Adomian decomposition method
• Sumudu transform method
• Local fractional derivative operator
• Local fractional
• Nonlinear local fractional gas dynamics equation
• Nonlinear local fractional Klein-Gordon equation