Implementation and Convergence Analysis of Homotopy Perturbation Coupled With Sumudu Transform to Construct Solutions of Local-Fractional PDEs

Fractal and Fractional

Mekkaoui, Toufik¹  Hammouch, Zakia²  Ait Touchent, Kamal³ 

[1] Author to whom correspondence should be addressed;Department of Mathematics, Faculty of Basic Education, Public Authority for Applied Education and Training, Al-Ardhiya 92400, Kuwait;E3MI, Faculty of Sciences and Techniques Errachidia, University Moulay Ismail, Meknes 50050, Morocco

关键词: homotopy perturbation coupled with Sumudu transform technique;    local fractional derivative;    converegnce analysis;   

DOI  :  10.3390/fractalfract2030022

学科分类：数值分析

来源: mdpi

【 摘 要 】

In the present paper, the explicit solutions of some local fractional partial differential equations are constructed through the integration of local fractional Sumudu transform and homotopy perturbation such as local fractional dissipative and damped wave equations. The convergence aspect of this technique is also discussed and presented. The obtained results prove that the employed method is very simple and effective for treating analytically various kinds of problems comprising local fractional derivatives.

【 授权许可】

CC BY