This study investigates uncertain fractional linear systems.w-monotonicity is defined in the case of vector interval-valued functions for the first time and some useful propositions are given.Furthermore,explicit solu...This study investigates uncertain fractional linear systems.w-monotonicity is defined in the case of vector interval-valued functions for the first time and some useful propositions are given.Furthermore,explicit solutions are presented in form of general matrix Mittag-Leffler functions under w-increasing and decreasing conditions,respectively.Existence conditions of w-monotone solutions are provided.Numerical solutions of upper and lower cases are obtained.Finally,w-decreasing solutions of fractional positive systems are numerically illustrated.展开更多
基金supported by the National Natural Science Foundation of China(NSFC)(Grant No.12101338)Sichuan Youth Science and Technology Foundation(Grant No.2022JDJQ0046)。
文摘This study investigates uncertain fractional linear systems.w-monotonicity is defined in the case of vector interval-valued functions for the first time and some useful propositions are given.Furthermore,explicit solutions are presented in form of general matrix Mittag-Leffler functions under w-increasing and decreasing conditions,respectively.Existence conditions of w-monotone solutions are provided.Numerical solutions of upper and lower cases are obtained.Finally,w-decreasing solutions of fractional positive systems are numerically illustrated.
