A class of piecewise fractional functional differential equations with impulsive

Autor:	Mei Jia, Tingle Li, Xiping Liu
Rok vydání:	2022
Předmět:	Mechanics of Materials Applied Mathematics Modeling and Simulation Computational Mechanics General Physics and Astronomy Statistical and Nonlinear Physics Engineering (miscellaneous)
Zdroj:	International Journal of Nonlinear Sciences and Numerical Simulation.
ISSN:	2191-0294 1565-1339
DOI:	10.1515/ijnsns-2021-0306
Popis:	In this paper, we study a class of piecewise fractional functional differential equations with impulsive and integral boundary conditions. By using Schauder fixed point theorem and contraction mapping principle, the results for existence and uniqueness of solutions for the piecewise fractional functional differential equations are established. And by using cone stretching and cone contraction fixed point theorems in norm form, the existence of positive solutions for the equations are also obtained. Finally, an example is given to illustrate the effectiveness of the conclusion.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3a44dc10ba81779bda1ff59320a2f48c https://doi.org/10.1515/ijnsns-2021-0306 Zobrazit plný text záznamu