Solving multi-term orders fractional differential equations by operational matrices of BPs with convergence analysis
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Date
2013
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Abstract
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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Keywords
Bernstein Polynomials, Caputo Derivative, Convergence Analysis, Fractional Differential Equations, Operational Matrix
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Rostamy, Davood...et al. (2013). "Solving multi-term orders fractional differential equations by operational matrices of BPs with convergence analysis", Romanian Reports in Physics, Vol. 65, No. 2, pp. 334-349.
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Romanian Reports in Physics
Volume
65
Issue
2
Start Page
334
End Page
349