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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Numerical examples are provided.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper a numerical solution for multiterm varable-order fractional differential equations (VO-FDEs) using Genocchi polynomials is proffered.
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Key Findings & Data:By making use of the Genocchi polynomials, a multiterm VO-FDE can be approximated by a corresponding system of algebraic equations.
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Conclusion & Impact:Numerical examples are provided.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Genocchi polynomials · Collocation method · Variable-order fractional differential equations
Abstract
In this paper a numerical solution for multiterm varable-order fractional differential equations (VO-FDEs) using Genocchi polynomials is proffered. By making use of the Genocchi polynomials, a multiterm VO-FDE can be approximated by a corresponding system of algebraic equations. To be able to do that, operational matrices for variable order fractional differentials are obtained using Genocchi polynomials. Then the algebraic equation system is solved for the coefficient values, thus the approximate solution is obtained by using the linear combination of those coefficients. Numerical examples are provided.
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Cite This Article
Polat, S. N. T., Dıncel, A. T. (2022). Genocchi polynomial method for the multiterm variable-order fractional differentıal equations. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 40 Issue: 1. https://ajindex.com/articles/1344693