Thermodynamic enhancement of fractional diffusion-thermo deformity under thermo-radiation characteristics through Yang–Abdel–Cattani non-integer differential modeling

This paper explores how heat flow due to an isothermal chemical gradient affects mass flow due to the temperature gradient and chemical convection. The aim of this paper is to trace out the diffusion-thermo deformity under a thermo-radiation atmosphere. The governing equations for the diffusion-thermo and radiation model have been generated by means of Boussinesq's approximation under certain assumptions of rheology. For the sake of thermodynamic analysis, a mathematical differential system is generated by means of Yang–Abdel–Cattani fractional differentiability. A computational study based on analyticity is conducted via integral transforms to evaluate the impacts of a diffusion-thermo model at imposed rheological parameters. Solution strategies for analytic investigation under fractional domain have been tackled for velocity, temperature, and concentration profiles. Optimization of statistical data for sensitive parameters of diffusion-thermo and radiation has been investigated on the basis of probable error, correlation, and regression analysis. In brevity, our results are validated for classical solution when a fractional parameter is retrieved at one in the open literature, which is in excellent agreement. It has also been suggested that the fractional thermo-diffusion model can be balanced by a lateral heating effect with either reversed trends or revoked trends of thermal radiation.