An approximation method to solve fractional Fredholem-Volterra integro-differential equations by Bernoulli polynomials
| Main Authors: | Rabiei, K, Ordokhani |
|---|---|
| Format: | Proceeding eJournal |
| Bahasa: | eng |
| Terbitan: |
, 2016
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/3326026 |
Daftar Isi:
- In this paper, we introduce the Bernoulli operational matrix of Reimann-Liouville fractional integration. This matrix is used to approximate numerical solution of fractional-order Fredholem-Volterra integrodifferential equations. Then the least square approximation method reduce the fractional integro -differential equations to systems of algebraic equations which are solved through the Newton's iterative method. The convergence of the method is discussed and finally, two numerical examples are presented to show the efficiency and accuracy of our method.