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Alipour, Mohsen. (1404). A novel Bernstein operational matrix: applications for conformable fractional calculus. سامانه مدیریت نشریات علمی, 13(4), 1216-1232. doi: 10.22034/cmde.2024.61944.2700
Mohsen Alipour. "A novel Bernstein operational matrix: applications for conformable fractional calculus". سامانه مدیریت نشریات علمی, 13, 4, 1404, 1216-1232. doi: 10.22034/cmde.2024.61944.2700
Alipour, Mohsen. (1404). 'A novel Bernstein operational matrix: applications for conformable fractional calculus', سامانه مدیریت نشریات علمی, 13(4), pp. 1216-1232. doi: 10.22034/cmde.2024.61944.2700
Alipour, Mohsen. A novel Bernstein operational matrix: applications for conformable fractional calculus. سامانه مدیریت نشریات علمی, 1404; 13(4): 1216-1232. doi: 10.22034/cmde.2024.61944.2700

A novel Bernstein operational matrix: applications for conformable fractional calculus

Computational Methods for Differential Equations
مقاله 11، دوره 13، شماره 4، دی 2025، صفحه 1216-1232    اصل مقاله (773.45 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61944.2700
نویسنده
Mohsen Alipour*
Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Babol, Iran.
چکیده
In this work, we focus on the conformable fractional integral and derivative. We approximate the one and two-variable functions by the Bernstein basis and its dual basis while studying convergence. Then, we get the new operational matrix for conformable fractional integral based on the Bernstein basis. To show the effectiveness of these approximations and conformable integral operational matrix, we apply them for solving the nonlinear system of differential equations, the optimal control problem in the conformable fractional sense, and the space conformable fractional telegraph equation.
کلیدواژه‌ها
Conformable fractional integral and derivative؛ Bernstein operational matrix؛ Conformable fractional differential equation؛ Fractional conformable optimal control problem؛ Space conformable fractional telegraph equation
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