Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2107-19
Keywords
Boundary value problems, coupled fractional hybrid differential systems, Dhage fixed point theorem, existence
First Page
612
Last Page
625
Recommended Citation
ZHAO, Y, & SUN, Y (2022). On the existence for parametric boundary value problems of a coupled system of nonlinear fractional hybrid differential equations. Turkish Journal of Mathematics 46 (2): 612-625. https://doi.org/10.3906/mat-2107-19
