Existence of Solutions for G-SFDEs with Cauchy-Maruyama Approximation Scheme

Author

Faizullah, Faiz

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-09-11

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We present the Cauchy-Maruyama (CM) approximation scheme and establish the existence theory of stochastic functional differential equations driven by G-Brownian motion (G-SFDEs).

Several useful properties of Cauchy-Maruyama (CM) approximate solutions X k of G-SFDEs are given.

We show that the unique solution of G-SFDEs gets convergence from Cauchy-Maruyama (CM) approximate solutions.

The existence theorem for G-SFDEs is developed with the above mentioned scheme.

American Psychological Association (APA)

Faizullah, Faiz. 2014. Existence of Solutions for G-SFDEs with Cauchy-Maruyama Approximation Scheme. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014831

Modern Language Association (MLA)

Faizullah, Faiz. Existence of Solutions for G-SFDEs with Cauchy-Maruyama Approximation Scheme. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014831

American Medical Association (AMA)

Faizullah, Faiz. Existence of Solutions for G-SFDEs with Cauchy-Maruyama Approximation Scheme. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014831

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014831