Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform

作     者：Amir Khan Gul Zaman Saeed Ahmad M. Ikhlaq Chohan 

作者机构：Department of Mathematics and Statistics University of Swat Swat Pakistan Department of Mathematics University of Malakand Lower Dir Pakistan Department of Business Administration and Accounting Buraimi University College Al-Buraimi Oman 

出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)

年 卷 期：2017年第7卷第4期

页      面：402-412页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Generalized Jeffrey Fluid Fractional Derivatives Fox H-Functions N-Transform 

摘      要：In this paper, we presents some new exact solutions corresponding to three unsteady flow problems of a generalized Jeffrey fluid produced by a flat plate between two side walls perpendicular to the plate. The fractional calculus approach is used in the governing equations. The exact solutions are established by means of the Fourier sine transform and N-transform. The series solutions of velocity field and associated shear stress in terms of Fox H-function, satisfying all imposed initial and boundary conditions, have been obtained. The similar solutions for ordinary Jeffrey fluid, performing the same motion, appear as limiting case of the solutions are also obtained. Also, the obtained results are analyzed graphically through various pertinent parameters.