Published January 1, 2013
| Version v1
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SOLVING MULTI-TERM ORDERS FRACTIONAL DIFFERENTIAL EQUATIONS BY OPERATIONAL MATRICES OF BPs WITH CONVERGENCE ANALYSIS
- 1. Imam Khomeini Int Univ, Dept Math, Qazvin, Iran
- 2. Cankaya Univ, Dept Math & Comp Sci, RO-77125 Magurele, Romania
Description
In this paper, we present a numerical method for solving a class of fractional differential equations (FDEs). Based on Bernstein Polynomials (BPs) basis, new matrices are utilized to reduce the multi-term orders fractional differential equation to a system of algebraic equations. Convergence analysis is shown by several theorems. Illustrative examples are included to demonstrate the validity and applicability of this method.
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