- Maltepe Journal of Mathematics
- Issue: 2
- Existence results for hybrid differential equation with generalized fractional derivative
Existence results for hybrid differential equation with generalized fractional derivative
Authors : Elsayed Elsayed
Pages : 55-60
Doi:10.47087/mjm.482567
View : 14 | Download : 6
Publication Date : 2020-11-12
Article Type : Research
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,