Existence results for hybrid differential equation with generalized fractional derivative

Year 2020, , 55 - 60, 12.11.2020

Elsayed Elsayed

https://doi.org/10.47087/mjm.482567

Abstract

This article deals with some existence results for fractional order hybrid differential equations involving Katugampola fractional derivative in Caputo sense. Here the Katugampola fractional derivative is generalization of two familiar fractional derivatives, namely, the Riemann-Liouville and the Hadamard fractional derivatives into a single form. Our investigations are based upon Dhage fixed point theorem, which is used to obtain the sufficient conditions for existence of at least one solution for the proposed problem.

Keywords

Dhage fixed point theorem, Katugampola fractional derivative, Hybrid differential equation;

References

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