Browsing by Author "Maria, Titraoui"

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    New class of boundary value problem for nonlinear fractional di erential equations involving Erdélyi-Kober derivative
    (Université de M'sila, 2019) Yacine, Arioua,; Maria, Titraoui
    In this paper, we introduce a new class of boundary value problem for nonlinear fractional di erential equations involving the Erdélyi- -Kober di erential operator on an in nite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel'skii xed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness of our main results.