Short memory and long terms are excellently explained using the concept of piecewise fractional order derivatives. In this research work, we investigate dynamical systems addressing COVID-19 under equations with derivative (FOD). Here, study sensitivity proposed model by some tools from nonlinear analysis. Additionally, develop a numerical scheme to simulate against various orders Matlab 2016. ...

the control of fluidized-bed operations processes is still one of the major areas of research due to the complexity of the process and the inherent nonlinearity and varying dynamics involved in its operation. there are varieties of problems in chemical engineering that can be formulated as nonlinear programming (nlps). the quality of the developed solution significantly affects the performance ...

in this paper a new method is proposed for path planning of planar manipulators amid obstacles through mathematical programming in a way that the robot’s links avoid collision with obstacles throughout their motion from an initial to a goal configuration. after inputting the workspace geometry, the shortest feasible path for the robot’s end-effector is planned toward its goal position using gen...

There has always been a close relationship between mathematics and the sciences (astronomy, chemistry, engineering, physics, etc.). When applying mathematics to study some physical phenomenon, it is often the case that we arrive at a mathematical model (an equation or set of equations) of the phenomenon that cannot be conveniently solved with exact formulas. The following classical example from...

In a linear dynamic model with linear measurements, there is always only one peak in the posterior; very small non-linearities in dynamic models can lead to a substantial number of peaks. As a result, it can be very difficult to represent the posterior: it may be necessary to represent all the peaks to be able to compute the mean or the covariance. We discuss these difficulties in section 2.1. ...

In this paper, we consider the mathematical modeling and simulation of a fluid-structure interaction algorithm applied to a multiphysics application involving atherosclerotic arteries which is known to lead to health risks and mortality. More specifically, narrowing of an artery that can result from a plaque deposit causes severe reduction of the blood flow. Modeling such diseased arteries requ...