Fractional-order simulations for heat and mass transfer analysis confined by elliptic inclined plate with slip effects: A comparative fractional analysis

In this investigation, the novel fractional order simulations are performed in order to inspect the characteristics of mass and heat transfer over porous inclined surface subject to the magnetic force impact. The radiative phenomenon and slip wall constraints are utilized to make the model more comprehensive. The convective thermal mechanism of heat transfer is predicted with assumptions of ramped temperature. The recent definitions of fractional derivatives are followed. The famous technique of fractional approach namely Atangana-Baleanu (AB) and Caputo-time fractional derivative are employed for the solution procedure. Various relations expressing the mathematical functions for the fractional derivatives are encountered. The major outcomes are listed for parameters govern for the model. This obtained result reflects many engineering and industrial applications like thermal processes, processing industries, nuclear reactions, solar systems, energy production etc.

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