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Browsing by Author "Taleshian, A.H."

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    Numerical Investigation of Ordinary and Partial Differential Equations with Variable Fractional Order by Bernstein Operational Matrix
    (Springer, 2022) Taleshian, A.H.; Baleanu, Dumitru; Alipour, M.; Babakhani, A.; Baleanu, D.; 56389; Matematik
    This research proposes a method to find numerical solutions of the variable-order fractional differential equation. We derived new operational matrix by applying Bernstein polynomials. Then, using this matrix, the method of solving the system of variable-order fractional differential equation and variable-order fractional partial differential equation are presented. Various numerical examples of these problems are provided along with the figures and tables. Finally, the accuracy of the proposed method is evaluated. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.