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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
As an application, an illustrative example is given to show the applicability of our theoretical results.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, by using the fixed point results $\alpha$-$\varphi$-Geraghty type mappings, existence-uniqueness results for solutions to differential equations with the generalized Caputo-Fabrizio derivative are investigated in $\lambda$-metric spaces.
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Key Findings & Data:In this paper, by using the fixed point results $\alpha$-$\varphi$-Geraghty type mappings, existence-uniqueness results for solutions to differential equations with the generalized Caputo-Fabrizio derivative are investigated in $\lambda$-metric spaces.
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Conclusion & Impact:As an application, an illustrative example is given to show the applicability of our theoretical results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalisation of Caputo-Fabrizio fractional Derivatives · Fractional differential equation · $\alpha$-$\varphi$-Geraghty type mappings
Abstract
In this paper, by using the fixed point results $\alpha$-$\varphi$-Geraghty type mappings, existence-uniqueness results for solutions to differential equations with the generalized Caputo-Fabrizio derivative are investigated in $\lambda$-metric spaces. As an application, an illustrative example is given to show the applicability of our theoretical results.
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Cite This Article
CHEFNAJ, N., ABDELLAH, T., HİLAL, K., MELLIANI, S., KAJOUNI, A. (2023). Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space. Turkish Journal of Science, Cilt: 8 Sayı: 1, 24–36. https://ajindex.com/articles/938098