A Review on Applications of Fractional Differential Equations in Engineering Domain

Abstract

The application of fractional calculus could be found all around the world. The concepts of fractions have been utilized in a wide variety of physical processes across many different scientific disciplines, including engineering, physics, and chemistry, amongst others. There are a lot of various methods that can be employed, such as the fractional analysis method, the Caputo fractional differential operator, and the Laplace transform, etc. The applications of Fractional Differential Equations (FDEs) in engineering in many different areas, such as in fractional cross product, electronic circuits, control engineering, electronic system designing, and modelling of speech. An innovative method that is now known as Reference model tuning was established. A comparison of the Z-N, Integral Square Time Error (ISTE), and Reference model tuning methods is carried out to ascertain which one is the most effective. The suggested method gives reasonable overshoots and shorter settling times and gives fewer oscillations.