Preface; Uncertain Variable; Uncertain Process; Contour Process; Uncertain Calculus; Uncertain Differential Equation; Uncertain Calculus with Renewal Process; Uncertain Differential Equation with Jumps; Multi-Dimensional Uncertain Differential Equation; High-Order Uncertain Differential Equation; Uncertainty Theory Online; Purpose; Acknowledgment; Contents; Frequently Used Symbols; 1 Introduction; 1.1 Uncertain Differential Equation; 1.2 Uncertain Differential Equation with Jumps; 1.3 Multi-Dimensional Uncertain Differential Equation; 1.4 High-Order Uncertain Differential Equation

2 Uncertain Variable2.1 Uncertain Measure; 2.2 Uncertain Variable; 2.3 Uncertainty Distribution; 2.4 Inverse Uncertainty Distribution; 2.5 Expected Value; 2.6 Variance; 3 Uncertain Process; 3.1 Uncertain Process; 3.2 Extreme Value; 3.3 Time Integral; 4 Contour Process; 4.1 Contour Process; 4.2 Inverse Uncertainty Distribution; 4.3 Extreme Value; 4.4 Time Integral; 4.5 Monotone Function; 5 Uncertain Calculus; 5.1 Canonical Liu Process; 5.2 Liu Integral; 5.3 Liu Process; 6 Uncertain Differential Equation; 6.1 Uncertain Differential Equation; 6.2 Analytic Methods; 6.3 Yao
Chen Formula

6.4 Numerical Methods6.5 Existence and Uniqueness Theorem; 6.6 Stability Theorems; 6.7 Liu's Stock Model; 6.8 Yao's Stock Model; 7 Uncertain Calculus with Renewal Process; 7.1 Renewal Process; 7.2 Yao Integral; 7.3 Yao Process; 8 Uncertain Differential Equation with Jumps; 8.1 Uncertain Differential Equation with Jumps; 8.2 Existence and Uniqueness Theorem; 8.3 Stability Theorems; 8.4 Yu's Stock Model; 9 Multi-Dimensional Uncertain Differential Equation; 9.1 Multi-Dimensional Canonical Liu Process; 9.2 Multi-Dimensional Liu Integral; 9.3 Multi-Dimensional Liu Process

9.4 Multi-Dimensional Uncertain Differential Equation10 High-Order Uncertain Differential Equation; 10.1 High-Order Uncertain Differential Equation; 10.2 Equivalent Transformation; 10.3 Yao Formula; 10.4 Numerical Method; 10.5 Existence and Uniqueness Theorem; References; Index