One solution, the so-called limited-slip differential, has proved effective in distributing torque more effectively during acceleration, and it is a lifesaver when your garage is at the end of a steep, slippery driveway.
Fractional differential systems have proved to be useful in control processing for the last two decades.
Fractional differential equations have proved to be valuable tools in the modelling of many phenomena in various fields of science and engineering.
Fractional differential equations have proved to be an excellent tool in the mathematic modeling of many systems and processes in various fields of science and engineering.
During the past few decades, fractional differential equations have proved to be valuable tools in the modeling of many phenomena in viscoelasticity, electrochemistry, control, porous media, and electromagnetism, etc. Due to its tremendous scopes and applications, several monographs have been devoted to the study of fractional differential equations; see the monographs [1 5].
Mathematical models based on differential equations have proved very useful.
This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice.
Recently in [9], Peng and Chen have investigated the order and the hyper-order of solutions of some second-order linear differential equations and have proved the following result.
The Gronwall-Bellman inequality [1, 2] and its various generalizations which provide explicit bounds for solutions of differential, integral and difference equations have proved to be of particular importance in this aspect, and much effort has been made to establish such inequalities over the years (for example, see [3 10]).
We have proved the existence of solutions for fractional differential equations with integral and multi-point boundary conditions.
