An efficient hybrid computational technique for solving nonlinear local fractional partial differential equations arising in fractal media

Nonlinear engineering: Modeling and application

article

Amit Prakash¹  Hardish Kaur¹ 

[1] Department of Mathematics, National Institute of Technology

关键词: Local fractional Sumudu transform;    Homotopy perturbation method;    Approximate solution;    Nonlinear partial differential equations;    Local fractional derivative;   

DOI  :  10.1515/nleng-2017-0100

来源: De Gruyter

【 摘 要 】

In present work, nonlinear fractional partial differential equations namely transport equation and Fokker-Planck equation involving local fractional differential operators, are investigated by means of the local fractional homotopy perturbation Sumudu transform method. The proposed method is a coupling of homotopy perturbation method with local fractional Sumudu transform and is used to describe the non-differentiable problems. Numerical simulation results are projected to show the efficiency of the proposed technique.

【 授权许可】

Unknown