The aim of this paper is to construct a six-component integrable hierarchy associated with a
matrix spatial spectral problem of arbitrary order. The adopted method is the zero curvature …

Partial differential equations are a vital component of the study of mathematicalmodels in
science and engineering. There are various tools and techniques developedby the …

The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …

This study focuses on the study of spatiotemporal and chaotic behavior in an extended non-
integer order dynamical systems which describe the spatial interaction between two …

The sandwich corrugated square tubes (SCSTs), which includes outer square tube (OST),
inner square tube (IST) and middle corrugated square tube (CST), have been has been …

Global warming is a complex problem with far-reaching global implications. One of its
notable repercussions is the escalation of CO 2 levels in the atmosphere, resulting in the …

A four-compartmental fractional-order epidemic model has been investigated to understand
the transmission mechanism of infectious diseases with the population's memory effect. The …

Herein, we build and implement a combination of Lucas polynomials basis that fulfills the
spatial homogenous boundary conditions. This basis is then used to solve the time-fractional …

In this study, a novel investigation in developing intelligent adaptive Bayesian networks
(IABN) is carried out to solve the fractional order Parkinson's disease model (FOPDM) …

This research aims to analyze and implement two numerical spectral schemes for solving
linear and nonlinear time fractional Cable equations (TFCEs). Two modified sets of shifted …