Rabah DjemiatBilal BastiNoureddine Benhamidouche2023-05-102023-05-102021http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/37748The 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.Article