in this article using the inverse laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. these transfers have been expressed as the couette flow with the fractional derivative of the caputo sense. also, using the hankel contour for the bromwich's integral, the solutions are given in terms of the generalized airy functions.

In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find a solution ...

The aim of the paper is to present tuning equations for one-degree-of-freedom (1DoF) proportional integral (PI) and proportional integral derivative (PID) controllers. These are based on a performance/robustness trade-off analysis with firstand second-order plus deadtime models. On the basis of this analysis a tuning method is developed for 1DoF PI and PID controllers for servo and regulatory c...

This paper is devoted to the study of establishing sufficient conditions for existence and uniqueness of positive solution to a class of non-linear problems of fractional differential equations. The boundary conditions involved Riemann-Liouville fractional order derivative and integral. Further, the non-linear function $f$ contain fractional order derivative which produce extra complexity. Than...

In this paper a new method for two linkrobotic manipulator systems control using Neural Network, The first method is based on Proportional-Integral-Derivative controller, the second method is based on artificial Neural Network by PID controller for Two linkrobot control with different load.

This paper presents a comparative study of different control design methods applied to a nuclear reactor model. A nuclear reactor temperature controller is designed using the H-infinity (H∞) control. This advanced controller is compared with a conventional Proportional–Integral–Derivative controller (PID) controller and a traditional optimal controller design using Linear Quadratic Gaussian (LQ...