In wave theory, the higher dimensional non-linear models are very important to define the
physical phenomena of waves. Herein study we have built the various solitons solutions of …

Abstract The physics of the (4+ 1)-dimensional Fokas equation follows necessarily from the
physical nature of the Kadomtsev–Petviashvili and Davey-Stewartson equations in wave …

In chemical reaction process, mathematical modeling of certain experiments lead to
Brusselator system of equations. In this article, the dynamical behaviors of reaction …

In this paper, we address the problem of the bifurcation control of a delayed fractional-order
dual model of congestion control algorithms. A fractional-order proportional–derivative (PD) …

In this study, we analyze complex partial differential equations, specifically focusing on
nonlinear fractional-order Inviscid Burger's equations. By employing the Adomian …

In this study, it is employed a new model of HIV infection in the form of incommensurate
fractional differential equations systems involving the Caputo fractional derivative. Existence …

In this paper, the Optimal Homotopy Asymptotic Method is extended to derive the
approximate solutions of fractional order two‐dimensional partial differential equations. The …

The higher dimensional Fokas equation is the integrable expansion of the Kadomtsev-
Petviashvili (KP) and Davey-Stewartson (DS) equations. The Fokas model has an important …

In this study, a mathematical model of the generalized biological population model (GBPM)
gets a new exact solution with a conformable derivative operator (CDO). The new exact …

Abstract β-cells in the pancreas can be described by a model of coupled biological
oscillators with communication links, which can synchronize their electrical activities, giving …