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Journals / Results in Nonlinear Analysis / 2022 / Cilt: 5 Sayı: 3

Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems

Sushma Basil(Madurai Kamaraj University)0000-0003-3438-8464
Santhi Antony(PSG College of Technology)0000-0001-7715-8533
Pages
279–298
Publication Date
2022-09-30
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AI Summary & Key Takeaways

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

Eventually, we apply our results in solving fuzzy Volterra integral equations and Caputo-Hadamard type of fractional differential equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we present fuzzy coupled fixed point results in the turf of complete b-metric spaces via nonlinear F-contraction; in follow we derive some interesting results as byproducts.
📊
Key Findings & Data:In this paper we present fuzzy coupled fixed point results in the turf of complete b-metric spaces via nonlinear F-contraction; in follow we derive some interesting results as byproducts.
💡
Conclusion & Impact:Eventually, we apply our results in solving fuzzy Volterra integral equations and Caputo-Hadamard type of fractional differential equations.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Fuzzy mapping · Fuzzy coupled fixed point · b-metric space

Abstract

In this paper we present fuzzy coupled fixed point results in the turf of complete b-metric spaces via nonlinear F-contraction; in follow we derive some interesting results as byproducts. Eventually, we apply our results in solving fuzzy Volterra integral equations and Caputo-Hadamard type of fractional differential equations.

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Cite This Article

Basil, S., Antony, S. (2022). Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems. Results in Nonlinear Analysis, Cilt: 5 Sayı: 3, 279–298. https://doi.org/10.53006/rna.1089900

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