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Title
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SOLVING MULTI-TERM ORDERS FRACTIONAL DIFFERENTIAL EQUATIONS BY OPERATIONAL MATRICES OF BPs WITH CONVERGENCE ANALYSIS
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Type
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JournalPaper
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Keywords
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Bernstein polynomials, fractional differential equations, operational matrix, Caputo derivative, convergence analysis.
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Abstract
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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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Researchers
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Davood Rostamy (First Researcher), Mohsen Alipour (Second Researcher), Dumitru Baleanu (Fourth Researcher), Hossein Jafari (Third Researcher)
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