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Application of Said Ball Curve for Solving Fractional Differential-Algebraic Equations

Fateme Ghomanjani and Samad Noeiaghdam
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Fateme Ghomanjani: Department of Mathematics, Kashmar Higher Education Institute, Kashmar 96719-89851, Iran
Samad Noeiaghdam: Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia

Mathematics, 2021, vol. 9, issue 16, 1-10

Abstract: The aim of this paper is to apply the Said Ball curve (SBC) to find the approximate solution of fractional differential-algebraic equations (FDAEs). This method can be applied to solve various types of fractional order differential equations. Convergence theorem of the method is proved. Some examples are presented to show the efficiency and accuracy of the method. Based on the obtained results, the SBC is more accurate than the Bezier curve method.

Keywords: fractional differential equation; Said Ball curve (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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