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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2017 / Cilt: 7 - Sayı: 1

On solutions of variable-order fractional differential equations

Mustafa INC
Dumitru BALEANU
Ali AKGÜL
Pages
112–116
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

We give an example to demonstrate how efficiently our theory can beimplemented in practice.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Numerical calculation of the fractional integrals and derivatives is the code tosearch fractional calculus and solve fractional differential equations.
📊
Key Findings & Data:There-fore, it is significant to enhance numerical methods for fractional differentialequations.
💡
Conclusion & Impact:We give an example to demonstrate how efficiently our theory can beimplemented in practice.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Numerical calculation of the fractional integrals and derivatives is the code tosearch fractional calculus and solve fractional differential equations. The exactsolutions to fractional differential equations are compelling to get in real ap-plications, due to the nonlocality and complexity of the fractional differentialoperators, especially for variable-order fractional differential equations. There-fore, it is significant to enhance numerical methods for fractional differentialequations. In this work, we consider variable-order fractional differential equa-tions by reproducing kernel method. There has been much attention in theuse of reproducing kernels for the solutions to many problems in the recentyears. We give an example to demonstrate how efficiently our theory can beimplemented in practice.

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Cite This Article

INC, M., BALEANU, D., AKGÜL, A. (2022). On solutions of variable-order fractional differential equations. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 7 - Sayı: 1, 112–116. https://ajindex.com/articles/440680

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