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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 3

Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations

Churong CHEN
Martin BOHNER
Baoguo JIA
Pages
857–869
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

We present two examples to illustrate our main results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We study two cases of nabla fractional Caputo difference equations.
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Key Findings & Data:Our main tool used is a Banach fixedpoint theorem, which allows us to give some existence and uniqueness theorems of solutions for discrete fractional Caputoequations.
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Conclusion & Impact:We present two examples to illustrate our main results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We study two cases of nabla fractional Caputo difference equations. Our main tool used is a Banach fixedpoint theorem, which allows us to give some existence and uniqueness theorems of solutions for discrete fractional Caputoequations. In addition, we develop the existence results for delta fractional Caputo difference equations, which correctones obtained in Chen and Zhou. We present two examples to illustrate our main results.

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Cite This Article

CHEN, C., BOHNER, M., JIA, B. (2022). Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 3, 857–869. https://ajindex.com/articles/607531

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References (11)

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