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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 4

ON THE EXISTENCE INTERVAL FOR THE INITIAL VALUE PROBLEM OF A FRACTIONAL DIFFERENTIAL EQUATION

Dumitru BALEANU
Octavian G. MUSTAFA
Pages
581–587
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

We improve in this way the estimate of the existence interval obtained very recently in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We compute via a comparison function technique, a new bound for the existence interval of the initial value problem for a fractional differential equation given by means of Caputo derivatives.
📊
Key Findings & Data:We compute via a comparison function technique, a new bound for the existence interval of the initial value problem for a fractional differential equation given by means of Caputo derivatives.
💡
Conclusion & Impact:We improve in this way the estimate of the existence interval obtained very recently in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional differential equation · Leray-Schauder alternative · Local existence

Abstract

We compute via a comparison function technique, a new bound for the existence interval of the initial value problem for a fractional differential equation given by means of Caputo derivatives. We improve in this way the estimate of the existence interval obtained very recently in the literature.

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Cite This Article

BALEANU, D., MUSTAFA, O. G. (2022). ON THE EXISTENCE INTERVAL FOR THE INITIAL VALUE PROBLEM OF A FRACTIONAL DIFFERENTIAL EQUATION. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 581–587. https://ajindex.com/articles/530590

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