Browsing by Author "Bilal Basti"

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    Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica XX (2021)
    (2021) Farid Nouioua; Bilal Basti
    This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder’s and Banach’s fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation
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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.