A Collocation-Shooting Method for Solving Fractional Boundary Value Problems for Generalized Bagley Torvik Equation

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Buranay S. C., Chin M. J., Mahmudov N.

6th International Conference on Analysis and Applied Mathematics, ICAAM 2022, Antalya, Turkey, 31 October - 06 November 2022, vol.3085, (Full Text)

• Nəşrin Növü: Conference Paper / Full Text
• Cild: 3085
• Doi nömrəsi: 10.1063/5.0194828
• Çap olunduğu şəhər: Antalya
• Ölkə: Turkey
• Açıq Arxiv Kolleksiyası: Konfrans Materialı, Məqalə
• Adres: Yox

Qısa məlumat

We present a method for solving the boundary value problems for the generalized Bagley-Torvik (BGT) equation. The problem involves Caputo fractional derivatives of order β, 0 < β < 2. The existence and the uniqueness of the solution are presented. For the numerical solution, we apply the collocation-shooting method. A numerical investigation is given on an example with a non-polynomial exact solution. Results are presented via tables and figures illustrating the efficiency in accuracy of the method.