Turkish Journal of Mathematics
DOI
10.3906/mat-2107-19
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
First Page
612
Last Page
625
Recommended Citation
ZHAO, YIGE and SUN, YIBING
(2022)
"On the existence for parametric boundary value problems of a coupled system of nonlinear fractional hybrid differential equations,"
Turkish Journal of Mathematics: Vol. 46:
No.
2, Article 18.
https://doi.org/10.3906/mat-2107-19
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss2/18