In this paper we derive existence results for the solutions to the first order hybrid fractional differential equations with perturbation of first kind and second kind involving ψ-Hilfer fractional derivative using different fixed point theorems. Finally the result is illustrated with an example.
Keywords and Phrases
Fractional differential equation, Hybrid, Fixed point theorem, $\psi-$Hilfer fractional derivative.
A.M.S. subject classiﬁcation
26A33, 34A38, 47H10, 34A12, 34K37.