Analysis of a nonlinear problem involving discrete and proportional delay with application to Houseflies model.

Autor:	Shah, Kamal, Sher, Muhammad, Sarwar, Muhammad, Abdeljawad, Thabet
Předmět:	NONLINEAR equations NONLINEAR analysis FRACTIONAL differential equations HOUSEFLY FUNCTIONAL analysis CAUCHY problem DELAY differential equations
Zdroj:	AIMS Mathematics; 2024, Vol. 9 Issue 3, p1-19, 19p
Abstrakt:	This manuscript established a comprehensive analysis of a general class of fractional order delay differential equations with Caputo-Fabrizio fractional derivative (CFFD). Functional analysis was used to examine the existence and uniqueness of the suggested class and to generate sufficient requirements for Ulam-Hyers (UH) type stability. Further, a numerical method based on Lagrange interpolation is used to compute approximate solution. Then, some applications in physical dynamics including a houseflies model and a Cauchy type problem were discussed to illustrate the established analysis with graphical illustrations. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu