- Turkish Journal of Science
- Vol: 8 Issue: 1
- Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fr...
Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\\lambda$-Metric Space
Authors : Najat Chefnaj, Taqbibt Abdellah, Khalid Hilal, Said Melliani, Ahmed Kajouni
Pages : 24-36
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Publication Date : 2023-05-03
Article Type : Research Article
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.Keywords : Generalisation of Caputo-Fabrizio fractional Derivatives, Fractional differential equation, $\\alpha$-$\\varphi$-Geraghty type mappings, $\\lambda$-metric spaces, fixed point.