A computational approach for shallow water forced Korteweg–De Vries equation on critical flow over a hole with three fractional operators

The Korteweg–De Vries (KdV) equation has always provided a venue to study and generalizes diverse physical phenomena. pivotal aim of the is analyze behaviors forced KdV describing free surface critical flow over hole by finding solution with help q-homotopy analysis transform technique (q-HATT). he projected method elegant amalgamations scheme Laplace transform. Three fractional operators are hired in present show their essence generalizing models associated power-law distribution, kernel singular, non-local non-singular. fixed-point theorem employed existence uniqueness for arbitrary-order model convergence derived Banach space. springs series rapidly towards it can guarantee homotopy parameter. Moreover, order nature have been captured plots. achieved consequences illuminates, procedure reliable highly methodical investigating behaviours nonlinear both integer order.