Pathwise stability of random differential equations and the solution of an adaptive control related problem

2006 ◽  
pp. 140-149 ◽  
Author(s):  
László Gerencsér
Keyword(s):  
Adaptive Control ◽  
Differential Equations ◽  
Related Problem ◽  
Random Differential Equations ◽  
Pathwise Stability

A GENERALIZATION OF BIHARI'S INEQUALITY AND FUZZY RANDOM DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS

2007 ◽  
Vol 15 (04) ◽  
pp. 425-439 ◽  
Author(s):  
WEIYIN FEI
Keyword(s):  
Differential Equations ◽  
Related Problem ◽  
Initial Values ◽  
Random Differential Equations ◽  
Uniqueness Of The Solution ◽  
Fuzzy Random

This paper studies a class of fuzzy random differential equations with non-Lipschitz coefficients. We first generalize the Bihari's inequality which is later applied to solving the related problem of uniqueness of the solution to fuzzy random differential equations with non-Lipschitz coefficients. The dependence of fuzzy random differential equations on initial values is also discussed. Finally, the non confluence property of the solutions to fuzzy random differential equations is investigated.

Coupled fractional differential systems with random effects in Banach spaces

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
O. Zentar ◽  
M. Ziane ◽  
S. Khelifa
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Existence Of Solutions ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Random Differential Equations ◽  
Liouville Fractional Derivative ◽  
Fractional Differential ◽  
Vector Valued ◽  
Abstract Formulation

Abstract The purpose of this work is to investigate the existence of solutions for a system of random differential equations involving the Riemann–Liouville fractional derivative. The existence result is established by means of a random abstract formulation to Sadovskii’s fixed point theorem principle [A. Baliki, J. J. Nieto, A. Ouahab and M. L. Sinacer, Random semilinear system of differential equations with impulses, Fixed Point Theory Appl. 2017 2017, Paper No. 27] combined with a technique based on vector-valued metrics and convergent to zero matrices. An example is also provided to illustrate our result.

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