Browsing by Author "Basti, Bilal"
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Item Open Access Existence et unicité de solutions auto-similaires générales pour certaines équations fractionnaires non-linéaires(Université de M'sila, 2019-05-04) Basti, BilalIn this thesis, we discuss several existence and uniqueness results of generalized self-similar solutions for some nonlinear partial differential equations of fractional order of Katugampola type, with boundary value, initial value, or with integral conditions in Banach space, we use the Banach contraction principle, Schauder and Guo-Krasnosel'skii fixed point theorems, and the technique of the nonlinear alternative of Leray-Schauder type.Item Open Access Initial value problem for nonlinear implicit fractional differential equations with Katugampola derivative(Université de M'sila, 2019) Basti, BilalThis work studies the existence and uniqueness of solutions for a class of nonlinear implicit fractional differential equations via the Katugampola fractional derivatives with an initial condition. The arguments for the study are based upon the Banach contraction principle, Schauders fi xed point theorem and the nonlinear alternative of Leray-Schauder type.