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

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Turkish Journal of Science
Volume: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 HİLAL, Said MELLIANI, Ahmed KAJOUNI

Pages : 24-36

View : 47 | Download : 51

Publication Date : 2023-05-03

Article Type : Research Paper

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

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