A novel Bernstein operational matrix: applications for conformable fractional calculus

Alipour, Mohsen

doi:10.22034/cmde.2024.61944.2700

A novel Bernstein operational matrix: applications for conformable fractional calculus

Document Type : Research Paper

Author

Mohsen Alipour

Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Babol, Iran.

10.22034/cmde.2024.61944.2700

Abstract

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.

Keywords

Main Subjects

Fractional derivatives and integrals

References

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