A study on the existence results for neutral functional random integro-differential equations with infinite delay

Document Type : Research Article

Authors

1 Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai - 600062, Tamil Nadu, India

2 Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai - 600062, Tamil Nadu, India & School of Artificial Intelligence and Data Science, Indian Institute of Technology (IIT), Jodhpur 342030, India

3 Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India

4 Institute of Mathematics, Henan Academy of Sciences, Zhengzhou 450046, China

Abstract

This study investigates the solutions of neutral functional integro-differential equations and second order neutral functional differential equations with delays and random effects. The Kakutani fixed-point theorem is used to prove the existence of mildly random solutions in the stochastic domain and to launch this investigation. The research heavily relies on core notions from functional analysis, and to make these concepts clearer, an explicit case is given.

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Journal of Mathematical Modeling
Volume 13, Issue 3
July 2025
Pages 675-693

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