Browsing by Author "Noureddine Benhamidouche"

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    Existence of traveling wave solutions for a free boundary problem of higher-order space-fractional wave equations∗
    (université msila, 2021) Rabah Djemiat; Bilal Basti; Noureddine Benhamidouche
    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.