• Communications in Theoretical Physics
  • Vol. 72, Issue 8, (2020)
Mohammed Al-Smadi1, Omar Abu Arqub2, and Samir Hadid3
Author Affiliations
  • 1Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 2686, Jordan
  • 2Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan
  • 3Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, United Arab Emirates
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    DOI: 10.1088/1572-9494/ab8a29 Cite this Article
    Mohammed Al-Smadi, Omar Abu Arqub, Samir Hadid. An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative[J]. Communications in Theoretical Physics, 2020, 72(8): Copy Citation Text show less

    Abstract

    AbstractMathematical 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.
    Mohammed Al-Smadi, Omar Abu Arqub, Samir Hadid. An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative[J]. Communications in Theoretical Physics, 2020, 72(8):
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