The Schrödinger equation depends on the physical circumstance, which describes the state
function of a quantum‐mechanical system and gives a characterization of a system evolving …

In this paper, we study on the conformable (2+ 1)-dimensional Ablowitz-KaupNewell-Segur
equation in order to show the existence of complex combined dark-bright soliton solutions …

The numerical solutions for nonlinear fractional Gardner and Cahn‐Hilliard equations
arising in fluids flow are obtained with the aid of two novel techniques, namely, fractional …

In this paper, numerical solution of the mathematical model describing the deathly disease
in pregnant women with fractional order is investigated with the help of q-homotopy analysis …

In this study, we present some new results for the time fractional mixed boundary value
problems. We consider a generalization of the Heat-conduction problem in two dimensions …

The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin
equation by using two efficient methods, called q‐homotopy analysis transform method and …

The aim of this work is to present the numerical simulations of the novel designed fractional
order Leptospirosis model (FOLM) by using the strength of stochastic numerical supervised …

In this article, we have investigated the fractional-order Burgers equation via Natural
decomposition method with nonsingular kernel derivatives. The two types of fractional …

This paper involves complex valued versions of Riemann-Liouville integral, Atangana-
Baleanu integral operator and non-linear Telegraph equation. Under various suitable …

This manuscript investigates the fractional Phi-four equation by using q-homotopy analysis
transform method (q-HATM) numerically. The Phi-four equation is obtained from one of the …