WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
Browse
Search Results
Article Citation - WoS: 36Citation - Scopus: 35Travelling Waves Solution for Fractional-Order Biological Population Model(Edp Sciences S A, 2021) Shah, Rasool; Gomez-Aguilar, J. F.; Shoaib; Baleanu, Dumitru; Kumam, Poom; Khan, HassanIn this paper, we implemented the generalized (G'/G) and extended (G'/G) methods to solve fractional-order biological population models. The fractional-order derivatives are represented by the Caputo operator. The solutions of some illustrative examples are presented to show the validity of the proposed method. First, the transformation is used to reduce the given problem into ordinary differential equations. The ordinary differential equation is than solve by using modified (G'/G) method. Different families of traveling waves solutions are constructed to explain the different physical behavior of the targeted problems. Three important solutions, hyperbolic, rational and periodic, are investigated by using the proposed techniques. The obtained solutions within different classes have provided effective information about the targeted physical procedures. In conclusion, the present techniques are considered the best tools to analyze different families of solutions for any fractional-order problem.