Browsing by Author "Rabah Djemiat"

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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.
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    Study of some models of fractional-orderís partial di§erential equations and their applications
    (université msila, 2023) Rabah Djemiat
    Dans cette thèse, nous allons discuter plusieurs résultats d'existence et d'unicité de solutions pour certaines équations aux dérivées partielles non linéaires d'ordre fractionnaire de type Caputo, avec des valeurs aux limites, valeurs initiales, dans un espace de Banach, en utilisant le principe de contraction de Banach et le théorème de point fixe de Schauder.