Abstract
With rapid expansion in economy and increased human demand for a healthy living environment, study of air pollutants (particularly Particulate Matter 2.5) has gained a lot of attention in India. Such pollutants cause foggy weather and acute health issues, thus being an urgent environmental issue. It has therefore become necessary to precisely predict PM2.5 concentrations and formulate their diffusion models to accurately monitor and control air pollution. In our work, fractional calculus has been discussed, which is used to obtain the ‘Anomalous Diffusion Equation’ for various places in the north-eastern states. Moreover, by using the ‘Grunwald–Letnikov’ fractional derivative, the variation of diffusion coefficients in North-East India has been calculated explicitly which will be used for the modelling of PM2.5 concentration and diffusion which will be used in weather forecasting and climate analysis.
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