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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 16 Sayı: 2

On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation

Lale Cona(Gümüşhane Üniversitesi Mühendislik Fakültesi Matematik Bölümü)0000-0002-2744-1960
Esmahan Bal(GUMUSHANE UNIVERSITY, INSTITUTE OF SCIENCE, MATH)0000-0002-0135-9176
Pages
297–310
Publication Date
2023-08-31
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AI Summary & Key Takeaways

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

In addition, the results found is supported by examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, a sufficient condition for the existence and uniqueness of some fractional order Integral-Differential equations is obtained.
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Key Findings & Data:Therefore, the fixed point method is used to solve the differential equation problem involving nonlinear degree integrals.
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Conclusion & Impact:In addition, the results found is supported by examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Initial value problem · Fractional order Integro-Differential equation · Riemann-Liouville derivative

Abstract

In this study, a sufficient condition for the existence and uniqueness of some fractional order Integral-Differential equations is obtained. Therefore, the fixed point method is used to solve the differential equation problem involving nonlinear degree integrals. In addition, the results found is supported by examples.

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Cite This Article

Cona, L., Bal, E. (2023). On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 16 Sayı: 2, 297–310. https://doi.org/10.18185/erzifbed.1220243

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