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    A sequential fractional differential problem of pantograph type: existence uniqueness and illustrations
    (Scientific Technical Research Council Turkey-Tubitak, 2021) Belarbi, Soumia; Dahmani, Zoubir; Sarıkaya, Mehmet Zeki
    In this study, a new class of sequential fractional differential problems of pantograph type is introduced. New existence and uniqueness criteria for the existence and uniqueness of solutions are discussed. Some existence results using Darbo's fixed point and measure of noncompactness are also studied. At the end, two illustrative examples are discussed.
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    TWO RESULTS FOR POSITIVE SOLUTIONS OF A FRACTIONAL DIFFERENTIAL EQUATION INVOLVING p-LAPLACIAN OPERATORS
    (Rocky Mountain Mathematics Consortium, 2025) Belarbi, Soumia; Dahmani, Zoubir; Sarikaya, Mehmet Zeki
    We prove two results regarding the existence of positive solutions for a p-Laplacian fractional high-order differential problem with initial conditions. We do this by applying the cones technique, lower and upper solutions, and the Leray–Schauder alternative. A detailed example illustrates one of the results. © 2025 Elsevier B.V., All rights reserved.