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Research Article

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

S
Shabna M. S. Department of Mathematics, MES Mampad College, Malappuram, Kerala - 676542 INDIA
R
Ranjini M. C. Department of Mathematics, MES Mampad College, Malappuram, Kerala - 676542 INDIA
Volume 16, Issue 2 Pages 41-56 August 30, 2020 271 downloads
Article overview

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 equationHybridFixed point theorem$\psi-$Hilfer fractional derivative.

AMS Subject Classification

26A33, 34A38, 47H10, 34A12, 34K37.

Reference information

How to Cite

Shabna M. S., Ranjini M. C. (2020). ON EXISTENCE OF $\psi-$HILFER HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(2), 41-56.
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