• Journal of Applied and Pure Mathematics
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• v.5 no.3_4
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• pp.211-222
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• 2023

In this paper, we study the following hybrid Caputo-Fabrizio fractional differential equation: ^𝐶𝓕_α𝕯^θ_ϑ [ω(ϑ) - 𝕱(ϑ, ω(ϑ))] = 𝕲(ϑ, ω(ϑ)), ϑ ∈ 𝕵 := [a, b], ω(α) = 𝜑_α ∈ ℝ, 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.