Fractional-order functions for solving fractional-order variational problems with boundary conditions
| Main Authors: | Rahimkhani, Parisa, Ordokhani, Yadollah |
|---|---|
| Format: | Document publication-datamanagementplan |
| Terbitan: |
, 2017
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/2741388 |
Daftar Isi:
- In this paper, a numerical method for solving the fractional-order variational problems (FVPs) with boundary conditions is presented. The fractional derivative in the problem is in the Caputo sense. In the presented method, the given optimization problem reduces to a system of algebraic equations using fractional-order Bernoulli functions and their fractional integration operational matrix. An approximate solution for the FVP is achieved by solving this system. Numerical examples are examined to highlight the significant features of the new technique.