On coupled system of nonlinear hybrid differential equation with arbitrary order
Journal: Matrix Science Mathematic (MSMK)
Author: Sajad Ali Khan, Kamal Shah, Rahmat Ali Khan
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Where stands for Cupoto fractional derivative of order α where 1< α ≤ 2, J=[0,1], and the functions ƒ : J x R x R → R,ƒ(0,0) and g : J x R x R → R satisfy certain conditions. The proof of the existence theorem is based on a coupled fixed-point theorem of Krasnoselskii type, which extends a fixed-point theorem of Burton. Finally, our results are illustrated by a concrete example.