Open Access Open Access  Restricted Access Subscription or Fee Access

Existence, Uniqueness and Exponential Stability for Stochastic Fuzzy Age-dependent Capital System

Fangfang Shen, Qimin Zhang, Hongfu Yang, Yongzhen Pei

Abstract


In this paper, a class of stochastic fuzzy age-dependent capital system is investigated. That is to say, the key of the system in this paper is the two uncertainties: stochastic and fuzzyness. First, we obtain existence and uniqueness of solution to stochastic fuzzy agedependent capital system based on a boundedness condition and the Lipschitz condition. Among them, the boundedness condition is weaker than linear growth condition. Solutions mentioned in the article, which are fuzzy stochastic processes, and their uniqueness is considered to be in a strong sense. Then, the exponential stability of stochastic fuzzy agedependent capital system is obtained by using Gronwall-type lemma and some criterion. Finally, a numerical example of stochastic fuzzy age-dependent capital system is given.

Keywords


Existence, Uniqueness, Stability, Stochastic fuzzy age-dependent capital.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.