A three fractional order jerk equation with anti periodic conditions
No Thumbnail Available
Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Nis
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
We study a new Jerk equation involving three fractional derivatives and anti periodic conditions. By Banach contraction principle, we present an existence and uniqueness result for the considered problem. Utilizing Krasnoselskii fixed point theorem we prove another existence result governing at least one solution. We provide an illustrative example to claim our established results. At the end, an approximation for Caputo derivative is proposed and some chaotic behaviours are discussed by means of the Runge Kutta 4th order method.
Description
Keywords
Jerk equation, fractional derivatives, anti periodic conditions, fixed point theorem
Journal or Series
Facta Universitatis-Series Mathematics And Informatics
WoS Q Value
Q3
Scopus Q Value
Volume
38
Issue
2
