An attractive alternative to mitigate the adverse effects of conventional water-based fluids on
the efficiency of hydraulic fracturing is to inject foam-based fracking fluids into reservoirs …

In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …

In this present investigation, we proposed a reliable and new algorithm for solving time‐
fractional differential models arising from physics and engineering. This algorithm employs …

In this paper, we present analytical-approximate solution to the time-fractional nonlinear
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …

This paper employs an efficient technique, namely q-homotopy analysis transform method,
to study a nonlinear coupled system of equations with Caputo fractional-time derivative. The …

Nonlinear phenomena play an essential role in various field of natural sciences and
engineering. In particular, the nonlinear chemical reactions are observed in various …

This paper presents analytical‐approximate solutions of the time‐fractional Cahn‐Hilliard
(TFCH) equations of fourth and sixth order using the new iterative method (NIM) and q …

In this article, we consider cancer tumor models and investigate the need for fractional order
derivative as compared to the classical first order derivative in time. Three different cases of …

In this work, the q-homotopy analysis transform method (shortly q-HATM) which is a
combined form of q-homotopy analysis method and Laplace transform method is employed …

This article presents exact and approximate solutions of the seventh order time-fractional
Lax's Korteweg–de Vries (7TfLKdV) and Sawada–Kotera (7TfSK) equations using the …