Browsing by Author "LASKRI Yamina (Co-Auteur)"
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Item Convergence of a Two-parameter Family of Conjugate Gradient Methods with a Fixed Formula of Stepsize(Boletim da Sociedade Paranaense de Matemática., 2020) BOUAZIZ Khelifa; LASKRI Yamina (Co-Auteur)We prove the global convergence of a two-parameter family of conjugate gradient methods that use a new and different formula of stepsize from Wu [14]. Numerical results are presented to confirm the effectiveness of the proposed stepsizes by comparing with the stepsizes suggested by Sun and his colleagues [2,12].Item On Stability of Second Order Pantograph Fractional Differential Equations in Weighted Banach Space(Fractal and Fractional, 2023) LASKRI Yamina (Co-Auteur)This work investigates a weighted Banach space second order pantograph fractional differential equation. The considered equation is of second order, expressed in terms of the Caputo– Hadamard fractional operator, and constructed in a general manner to accommodate many specific situations. The asymptotic stability of the main equation’s trivial solution has been given. The primary theorem was demonstrated in a unique manner by employing the Krasnoselskii’s fixed point theorem. We provide a concrete example that supports the theoretical findings.