A new stochastic integral created for air pollution
*Tayebeh WaezizadehCorresponding authorWAEZIZADEH@UK.AC.IRDepartment of Pure Mathematics Faculty of Mathematics and Computer Shahid Bahonar University of Kerman & Afzalipour Research Institute- Mahani Math Center DEPARTMENT OF PURE MATHEMATICS, FACULTY OF MATHEMATICS AND COMPUTER & MAHANI MATHEMATICAL REASERCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN 76169-1411KERMAN, Kerman, 7616914111, IRAN0000-0003-4382-2162View full profile → , Mohammad Reza Molaeimrmolaei@uk.ac.irDepartment of Pure Mathematics Faculty of Mathematics and Computer Shahid Bahonar University of Kerman & Afzalipour Research Institute- Mahani Math Center Kerman, 7616914111, Iran0000-0003-4808-8382View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Mar 2024
- Published Online:
- 23 Aug 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2146
- Pages:
- 2771–2779
Abstract
Keywords
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References
[1] Q. Di, Y. Wang, A. Zanobetti, P. Koutrakis, C. Choirat and et al., “Air pollution and mortality in the Medicare population,” N. Engl. J. Med., vol. 376, pp. 2513-2522 (2017).
[2] L. C. Evans, An Introduction to Stochastic Differential Equations. American Mathematical Society (2013).
[3] P. Hajlasz and J. Maly, “Approximation in Sobolev spaces of nonlinear expressions involving the gradient,” Ark. Mat., vol. 40, pp. 245-274 (2002).
[4] A. G. Inakhneko and V. O. Stepashko, “Numerical investigation of noise immunity of multy- criteria selection of models,” Automatica, vol. 4, pp. 26-36 (1982).
[5] K. Itô, “Stochastic Integral,” Proc. Imp. Acad., vol. 20, pp. 519-524 (1944).
[6] M. Karami, M. R. Molaei and N. Asgari, “Observable objects, observers and the integral created by them,” Eur. Phys. J. Plus., vol. 258, pp. 1-6 (2016).
[7] M. Koengkan, J. A. Fuinhas and N. Silva, “Exploring the capacity of renewable energy consumption to reduce outdoor air pollution death rate in Latin America and the Caribbean region,” Environ. Sci. Pollut. Res. Int., vol. 28, pp. 1656-1674 (2021).
[8] M. K. Nasir, R. M. D. Noor, M. A. Kalam and B. M. Masum, “Reduction of fuel consumption and exhaust pollutant using inteligent transport systems,” Sci. world. j., vol. 214, pp. 1-13 (2014).
[9] K. M. Rappazzo, G. Joodi, S. R. Hoffman, Jr. Iw. Pursell, J. P. Mounsey, W. E. Cascio and Jr. Rj. Simpson, “A case-crossover analysis of the relationship of air pollution with out-of-hospital sudden unexpected death in Wake County,” North Carolina (2013-2015), Sci. Total. Environ., vol. 694, pp. 1-29 (2019).
[10] J. Richard, “Time-delay system: an overview of some recent advances and open problems,” Automatica., vol. 39, pp. 1667-1694 (2003).
[11] W. Rudin, Real and Complex Analysis. McGraw-Hill (1986).
[12] R. Stratonovich, “A new representation for stochastic integrals and equations,” SIAM. J. Control., vol. 4, pp. 362-371 (1966).
[13] S. Vardoulakis, B. E. A. Fisher, K. pericleous and N. Gonzalez- Flesca, “Modelling air quality in street canyons: a review,” Atmos. Environ., vol. 37, pp. 155-182 (2003).
