A Novel Homotopy Perturbation Method with Applications to Nonlinear Fractional Order KdV and Burger Equation with Exponential-Decay Kernel. (22nd September 2021)

• Record Type: Journal Article
• Authors: Ahmad, Shabir; Ullah, Aman; Akgül, Ali; De la Sen, Manuel
• Other Names: Meskhi Alexander Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-09-22
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/8770488
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we introduce the Yang transform homotopy perturbation method (YTHPM), which is a novel method. We provide formulae for the Yang transform of Caputo-Fabrizio fractional order derivatives. We derive an algorithm for the solution of Caputo-Fabrizio (CF) fractional order partial differential equation in series form and show its convergence to the exact solution. To demonstrate the novel approach, we include some examples with detailed solutions. We use tables and graphs to compare the exact and approximate solutions.