A novel investigation of non-periodic snap BVP in the G-Caputo sense
Document Type
Article
Publication Date
8-1-2022
Abstract
In the present paper, we consider a nonlinear fractional snap model with respect to a G-Caputo derivative and subject to non-periodic boundary conditions. Some qualitative analysis of the solution, such as existence and uniqueness, are investigated in view of fixed-point theorems. Moreover, the stabilities of Ulam-Hyers and Ulam-Hyers-Rassias criterions are considered and investigated. Some numerical simulations were performed using MATLAB for understanding the theoretical results. All results in this work play an important role in understanding ocean engineering phenomena due to the huge applicability of jerk and snap in seakeeping, ride comfort, and shock response spectrum.
Keywords
Snap problem, G-Caputo fractional differential equation, Boundary value problem, Ulam-Hyers-Rassias stability
Publication Title
Axioms
Volume
11
Issue
8
Publisher
MDPI
Publisher Location
ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND