STUDY OF FRACTIONAL ORDER MATHEMATICAL MODEL TO INVESTIGATE EFFECT OF PLANTATION ON THE CONTROL OF ATMOSPHERIC CO2

The increased concentration of carbon dioxide (CO 2 ) in the atmosphere is considered one of the main causes of global warming, and forests are supposed to be important CO 2 sinks. However, because of human activities, large-scale deforestation has considerably raised CO 2 levels. Reforestation and afforestation may be ways to decrease atmospheric CO 2 , but demographic, ecological and economic issues prevent this on a large scale. These genetically modified trees with increased capability of CO 2 absorption present a promising alternative in mitigating CO 2 . Conformable-fractional effects in the theoretical and numerical analysis of the plantation model are presented. Theoretical considerations on the existence, Ulam–Hyers stability, and uniqueness of solutions will be derived using the Banach fixed-point theorem. Numerical investigations into the solution dynamics of different CFOD will highlight the efficiency of hybrid operators graphically.