International Journal of Nonlinear Analysis and Applications

Qualitative behaviour of local non-Lipschitz stochastic integrodifferential system with Rosenblatt process and infinite delay

Document Type : Research Paper

Authors

1 Numerical Analysis and Computer Science Laboratory, Department of Mathematics, Gaston Berger University of Saint-Louis, UFR SAT, B.P:234, Saint-Louis, Senegal

2 Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India

3 Department of Mathematics, PSG college of Arts and Science, Coimbatore, 641 014, India

4 Universit´e Cadi Ayyad, Facult´e des Sciences Semlalia D´epartement de Math´ematiques B.P. 2390 Marrakech, Morocco

Abstract

The objective of this paper is to investigate the existence and uniqueness of mild solutions for stochastic integrodifferential evolution equations in Hilbert spaces with infinite delay and a Rosenblatt Process. The main results of this discussion are provided by Grimmer's resolvent operator theory and stochastic analysis. The theory is demonstrated with an example.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 12
December 2024
Pages 45-58
  • Receive Date: 30 January 2023
  • Accept Date: 26 November 2023