Abstract
This novel investigation suggests interesting solution techniques regarding the magnetized flow of Casson material through a porous space confined by a vertical surface. The heat and mass pattern in non-Newtonian fluid flow is accessed by utilizing the slip features and thermal radiation applications. The solution of fractional dimensionless governing equations is obtained by using Laplace transformation and fractional derivative operators i.e. Atangana-Baleanu (AB) time-fractional derivative and Caputo-Fabrizio (CF) time-fractional derivative. Some limiting cases of velocity distribution, obtained by both AB-time fractional derivative and CF-time fractional derivative, are discussed. To enhance the innovation of this article, recent definitions of non-integer derivative operators are used to explore the numerical results under the conversation problem. The obtained results of velocity distribution are compared graphically and numerically by using different inverse techniques. A comprehensive analysis of employed solution techniques with limiting cases is worked out.