Existence of traveling wave solutions for a free boundary problem of higher-order space-fractional wave equations∗
Loading...
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
université msila
Abstract
The fractional wave equation of higher order is presented as a generalization of the higher-order wave
equation when arbitrary fractional-order derivatives are involved. This paper investigates the problem
of existence and uniqueness of solutions under the traveling wave forms for a free boundary problem of
higher-order space-fractional wave equations. It does so by applying the properties of Schauder’s and
Banach’s fixed point theorems.