Affiliation:
1. School of Mathematics and Statistics, Central South University, Changsha 410085, China
2. Department of Mathematics and Computer, College of Science, Ibb University, Ibb, Yemen
3. School of Mathematics and Physics, China University of Geosciences, Wuhan, China
Abstract
In this paper, we study the nonlinear coupled system of equations with fractional integral boundary conditions involving the Caputo fractional derivative of orders
and Riemann–Liouville derivative of orders
with the
-Laplacian operator, where
, and
. With the help of two Green’s functions
, the considered coupled system is changed to an integral system. Since topological degree theory is more applicable in nonlinear dynamical problems, the existence and uniqueness of the suggested coupled system are treated using this technique, and we find appropriate conditions for positive solutions to the proposed problem. Moreover, necessary conditions are highlighted for the Hyer–Ulam stability of the solution for the specified fractional differential problems. To confirm the theoretical analysis, we provide an example at the end.
Funder
National Natural Science Foundation of China
Cited by
4 articles.
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