Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

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GENERALIZED BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY TWO MUTUALLY INDEPENDENT FRACTIONAL BROWNIAN MOTIONS

Authors

  • Yaya SAGNA
  • Lamine SYLLA
  • Sadibou AIDARA

Keywords:

fractional Brownian motion backward stochastic differential equations, Malliavin derivative and fractional Itô’s formula

DOI:

https://doi.org/10.17654/0974324324032

Abstract

This paper deals with a class of generalized backward stochastic differential equations driven by two mutually independent fractional Brownian motions (FGBSDEs in short). The existence and uniqueness of solutions for FGBSDE as well as a comparison theorem are obtained.

Received: June 25, 2024
Revised: August 25, 2024
Accepted: September 14, 2024

References

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Published

2024-10-25

Issue

Section

Articles

How to Cite

GENERALIZED BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY TWO MUTUALLY INDEPENDENT FRACTIONAL BROWNIAN MOTIONS. (2024). Advances in Differential Equations and Control Processes, 31(4), 627-650. https://doi.org/10.17654/0974324324032

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