Boundary Problems for Fractional Differential Equations Involving the Generalized Caputo-Fabrizio Fractional Derivative in the $\lambda$-Metric Space

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.

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