On the existence for parametric boundary value problems of a coupled system of nonlinear fractional hybrid differential equations

Authors: YIGE ZHAO, YIBING SUN

Abstract: In this paper, we consider the existence and uniqueness for parametric boundary value problems of a coupled system of nonlinear fractional hybrid differential equations. By the fixed point theorem in Banach algebra, an existence theorem for parametric boundary value problems of a coupled system of nonlinear fractional hybrid differential equations is given. Further, a uniqueness result for parametric boundary value problems of a coupled system of nonlinear fractional hybrid differential equations is proved due to Banach's contraction principle. Further, we give three examples to verify the main results.

Keywords: Boundary value problems, coupled fractional hybrid differential systems, Dhage fixed point theorem, existence

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