In this paper, we study the following hybrid Caputo-Fabrizio fractional differential equation: \begin{equation*} \begin{gathered} ^{\mathcal{CF}}_{a} {\mathfrak{D}}_{\vartheta}^{\theta}\left[ \omega(\vartheta)-{\mathfrak{F}}(\vartheta,\omega(\vartheta...
In this paper, we study the following hybrid Caputo-Fabrizio fractional differential equation: \begin{equation*} \begin{gathered} ^{\mathcal{CF}}_{a} {\mathfrak{D}}_{\vartheta}^{\theta}\left[ \omega(\vartheta)-{\mathfrak{F}}(\vartheta,\omega(\vartheta))\right]={\mathfrak{G}}(\vartheta,\omega(\vartheta)), \ \ \vartheta \in {\mathfrak{J}}:=[a,b], \\ \omega(a)=\varphi_a \in \R, \end{gathered} \end{equation*} The result is based on a Dhage fixed point theorem in Banach algebra. Further, an example is provided for the justification of our main result.