Existence and Stability Results of Nonlinear Random Impulsive Integro-Differential Evolution Equations with Time-Varying Delays

Authors

  • Sahar M. A. Maqbol School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded 431606, India
  • Rupali S. Jain School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded 431606, India https://orcid.org/0000-0003-0481-4944
  • B. Surendranath Reddy School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded 431606, India https://orcid.org/0000-0001-7578-3685

DOI:

https://doi.org/10.37256/cm.5120242512

Keywords:

fixed point theorem, time-varying delays, integro-differential equations, random impulses, contraction principle

Abstract

This study examines the existence, uniqueness, and stability of the nonlinear random impulsive integrodifferential equations with time-varying delays under sufficient conditions. Our study is based on the Leray-Schauder alternative fixed point theorem, Pachpatte’s inequality, and the Banach contraction principle. Besides, we generalize, extend, and develop some results in the existing literature. Our approach is generalizing the results mentioned above and also achieving better results with lesser hypotheses by using the Leray-Schauder alternative fixed point theorem, Pachpatte’s inequality, and the Banach contraction principle.

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Published

2024-01-22

How to Cite

1.
Maqbol SMA, Jain RS, Reddy BS. Existence and Stability Results of Nonlinear Random Impulsive Integro-Differential Evolution Equations with Time-Varying Delays. Contemp. Math. [Internet]. 2024 Jan. 22 [cited 2024 Oct. 14];5(1):402-20. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2512