Exact and explicit traveling-wave solutions to the family of new 3D time-fractional WBBM equations in mathematical physics

Abstract In this paper, the new 3D time-fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations newly announced are investigated with the introduction of the spatial and sequential fractional-order derivatives expending conformable fractional derivative. Several solutions containing hyperbolic and periodic function solutions are created using the modified extended tanh-function (mETF) method. The productivity of the mETF method for building these solutions has been established. This method decreases the large volume of calculations. Some graphical exemplifications of the solutions are illustrated.