Physics

Pure mathematics

Mathematics

Heat transfer

Mechanics

Maxwell's equations

Porosity

Laplace transform

Magnetic field

Porous medium

Fractional calculus

Mathematical analysis

Composite material

Materials science

Hartmann number

Magnetohydrodynamic drive

Quantum mechanics

Field (mathematics)

Magnetohydrodynamics

Natural convection

Prandtl number

Classical mechanics

Mathematical Modelling of Natural Phenomena

Atangana-Baleanu fractional derivative has been applied to study heat transfer problem of magnetohydrodynamic (MHD) Maxwell fluid over a vertical plate embedded in a porous medium. The analytical solutions have been obtained for temperature distribution and velocity field by employing Laplace transforms technique for both sine and cosine oscillations of the plate. The general solutions have been expressed in terms of Fox- H function satisfying imposed conditions. The results are plotted graphically and discussed for embedded parameters such as magnetic field, Maxwell parameter, porous medium, Prandtl number and fractional parameter.

Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate