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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2018 / Cilt: 8 - Sayı: 2

A conformable calculus of radial basis functions and its applications

Fuat USTA
Pages
176–182
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally we presents some numerical results to confirmedour method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we introduced the conformable derivatives and integrals of radialbasis functions (RBF) to solve conformable fractional differential equations viaRBF collocation method.
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Key Findings & Data:For that, firstly, we found the conformable derivativesand integrals of power, Gaussian and multiquadric basis functions utilizingthe rule of conformable fractional calculus.
💡
Conclusion & Impact:Finally we presents some numerical results to confirmedour method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we introduced the conformable derivatives and integrals of radialbasis functions (RBF) to solve conformable fractional differential equations viaRBF collocation method. For that, firstly, we found the conformable derivativesand integrals of power, Gaussian and multiquadric basis functions utilizingthe rule of conformable fractional calculus. Then by using these derivativesand integrals we provide a numerical scheme to solve conformable fractionaldifferential equations. Finally we presents some numerical results to confirmedour method.

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Cite This Article

USTA, F. (2022). A conformable calculus of radial basis functions and its applications. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 8 - Sayı: 2, 176–182. https://ajindex.com/articles/440626

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