Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space
Anahtar Kelimeler:
Generalisation of Caputo-Fabrizio fractional Derivatives, Fractional differential equation, $\alpha$-$\varphi$-Geraghty type mappings, $\lambda$-metric spaces, fixed point.
Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space
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.
Keywords:
Generalisation of Caputo-Fabrizio fractional Derivatives, Fractional differential equation, $\alpha$-$\varphi$-Geraghty type mappings, $\lambda$-metric spaces, fixed point.,
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- Abbas, S., Benchohra, M., Graef, J.R., Henderson, J.: Implicit fractional differential and integral equations: existence and stability. De Gruyter (2018).
- ISSN: 2587-0971
- Başlangıç: 2016
- Yayıncı: Ahmet Ocak AKDEMİR
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