ON EXISTENCE OF $\psi-$HILFER HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Abstract

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.

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