Browsing UTSA Faculty and Staff Works by Author "Benkerrouche, Amar"

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Multiterm Impulsive Caputo–Hadamard Type Differential Equations of Fractional Variable Order

Benkerrouche, Amar; Souid, Mohammed Said; Stamov, Gani; Stamova, Ivanka (2022-11-10)

In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative. The fundamental problems of existence and ...
On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order

Benkerrouche, Amar; Souid, Mohammed Said; Stamov, Gani; Stamova, Ivanka (2022-06-27)

In this manuscript we introduce a quadratic integral equation of the Urysohn type of fractional variable order. The existence and uniqueness of solutions of the proposed fractional model are studied by transforming it ...