journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-2146 A new stochastic integral created for air pollution Waezizadeh Tayebeh Department of Pure Mathematics, Faculty of Mathematics and Computer, Research Institute- Mahani Math Center, Shahid Bahonar University of Kerman & Afzalipour, Kerman, 7616914111, Iran Molaei Mohammad Reza Department of Pure Mathematics, Faculty of Mathematics and Computer, Research Institute- Mahani Math Center, Shahid Bahonar University of Kerman & Afzalipour, Kerman, 7616914111, Iran 28 8 2771 2779 23 08 2025

In this paper, using an order creator for integral, a new random variable is introduced. Also, some basic properties are investigated. As follow, a new integral that is a random process is introduced. This new random process shows the amount of air pollution caused by airborne particles in an area. By studying the properties of the random process, some results are obtained in relation to the amount of air pollution.

 Random variable Stochastic integral Wiener process Air pollution access open retracted no