Browsing by Author "Arioua, Yacine"

Now showing 1 - 3 of 3
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    BOUNDARY VALUE PROBLEM FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS
    (Université de M'sila, 2017) Arioua, Yacine; Benhamidouche, Nouredine
    The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain. We used the standard and Krasnoselskii’s fixed point theorems. Some new results of existence and uniqueness solutions for Caputo-Hadamard fractional equations are obtained.
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    New Method for Constructing Exact Solutions to Nonlinear PDEs
    (Université de M'sila, 2009-03-18) Arioua, Yacine; Benhamidouche, Nouredine
    We propose in this paper a new approach to construct exact solutions of nonlinear PDEs. The method used is called ”the travelling profiles method”. The travelling profiles method enables us to obtain many exact solutions to large classes of nonlinear PDEs.
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    Traveling pro les solutions to heat equation with a power-law nonlinearity
    (Université de M'sila, 2015-05-14) Arioua, Yacine; Benhamidouche, Nouredine
    We propose in this work a new approach to obtain a general form of self similar solutions to heat equation with a power-law nonlinearity. We use the ”traveling profiles method”. This method is inspired of the traveling wavelets method which belongs to the category of the particular methods. The traveling profiles method enables us to obtain many explicit exact solutions to this equation.