Oblique explicit wave solutions of the fractional biological population (BP) and equal width (EW) models

Advances in Difference Equations

article

Abdel-Aty, Abdel-Haleem¹  Khater, Mostafa M. A.³  Baleanu, Dumitru⁵  Abo-Dahab, S. M.⁸  Bouslimi, Jamel^1,10  Omri, M.^1,12 

[1] Department of Physics, College of Sciences, University of Bisha;Physics Department, Faculty of Science, Al-Azhar University;Department of Mathematics, Faculty of Science, Jiangsu University;Department of Mathematics, Obour Institutes;Department of Mathematics, Cankaya University;Institute of Space Sciences;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Faculty of Science, Taif University;Department of Mathematics, Faculty of Science, South Valley University;Department of Engineering Physics and Instrumentation, National Institute of Applied Sciences and Technology, Carthage University;Department of Physics, Faculty of Science, Taif University;Deanship of Scientific Research, King Abdulaziz University

关键词: Computational recent schemes;    Fractional operator;    Fractional nonlinear BP equation;    Fractional nonlinear EW equation;   

DOI  :  10.1186/s13662-020-03005-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This research uses the extended exp- $( -\varphi(\vartheta ) ) $ -expansion and the Jacobi elliptical function methods to obtain a fashionable explicit format for solutions to the fragmented biological population and the same width models that depict popular logistics because of deaths or births. In mathematical terminology, the linear, hyperbolic, and trigonometric equation solutions that have been found describe several innovative aspects from the two models. Sketching these solutions in different types is used to give them more details. The accuracy and performance of the method adopted show their ability to be applied to various nonlinear developmental equations.

【 授权许可】

CC BY