ON EXISTENCE OF $\psi-$HILFER HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 137
DOI:
Author :
Shabna M. S. (Department of Mathematics, MES Mampad College, Malappuram, Kerala - 676542 INDIA)
Ranjini M. C. (Department of Mathematics, MES Mampad College, Malappuram, Kerala - 676542 INDIA)
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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