An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

作     者：Mohammed Al-Smadi Omar Abu Arqub Samir Hadid Mohammed Al-Smadi;Omar Abu Arqub;Samir Hadid

作者机构：Department of Applied ScienceAjloun CollegeAl-Balqa Applied UniversityAjloun 26816Jordan Department of MathematicsFaculty of ScienceAl-Balqa Applied UniversitySalt 19117Jordan Department of Mathematics and SciencesCollege of Humanities and SciencesAjman UniversityAjmanUnited Arab Emirates 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2020年第72卷第8期

页      面：1-17页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Authors gratefully acknowledge Ajman University for providing facilities for our research under Grant Ref.No.2019-IRG-HBS-11 

主　　题：nonlinear coupled system fractional partial differential equations residual power series method conformable fractional derivative 

摘      要：Mathematical simulation of nonlinear physical and abstract systems is a very vital process for predicting the solution behavior of fractional partial differential equations(FPDEs)corresponding to different applications in science and engineering. In this paper, an attractive reliable analytical technique, the conformable residual power series, is implemented for constructing approximate series solutions for a class of nonlinear coupled FPDEs arising in fluid mechanics and fluid flow, which are often designed to demonstrate the behavior of weakly nonlinear and long waves and describe the interaction of shallow water waves. In the proposed technique the n-truncated representation is substituted into the original system and it is assumed the(n-1) conformable derivative of the residuum is zero. This allows us to estimate coefficients of truncation and successively add the subordinate terms in the multiple fractional power series with a rapidly convergent form. The influence, capacity, and feasibility of the presented approach are verified by testing some real-world applications. Finally, highlights and some closing comments are attached.