This paper deals with a mixed-order Caputo fractional system with nonlocal integral boundary conditions. This study can be considered as an extension of previous studies, since the orders of the equations lie on different intervals. We discuss the existence and uniqueness of the solution using fixed point methods. We enrich the study with an example.
Caputo derivative, coupled system, boundary conditions, existence and uniqueness, fixed point theorem
YILDIZ, TUĞBA AKMAN; KHODABAKHSHI, NEDA; and BALEANU, DUMITRU
"Analysis of mixed-order Caputo fractional system with nonlocal integral boundary condition,"
Turkish Journal of Mathematics: Vol. 42:
3, Article 46.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/46