Bifurcation theory Exact traveling wave solutions Heat density Heat source Heat sources Hybrid nanofluid Kerosene oil M-fractional derivative Maxwell fluid Nanofluidics Nanofluids New extended direct algebraic method Non Newtonian flow Nonlinear partial differential equations Numerical methods Ordinary differential equations Prevailing issues Riga wedge Runge Kutta methods Runge-Kutta method Silica Silicon Thermal conductivity Thermal transport Thermal transportations Titanium dioxide