Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative
نویسندگان
چکیده
منابع مشابه
Control of an Electromechanical Control Actuation System Using a Fractional Order Proportional, Integral, and Derivative-Type Controller
In this study, the usefulness of a fractional order PID (proportional plus integral plus derivative)-type controller is investigated on the control of an electromechanical control actuation system. In this extent, the mathematical model of an electromechanically-actuated control actuation system considered is obtained in the continuous time domain first and then a control system with an integer...
متن کاملExistence results for hybrid fractional differential equations with Hilfer fractional derivative
This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.
متن کاملSymmetries and exact solutions of the time fractional Harry-Dym equation with RiemannLiouville derivative
In this paper, group analysis of the time fractional Harry-Dym equation with Riemann– Liouville derivative is performed. Its maximal symmetry group in Lie’s sense and the corresponding optimal system of subgroups are determined. Similarity reductions of the equationunder study are performed. As a result, the reduced fractional ordinary differential equations are deduced, and some group invarian...
متن کاملDesign and Optimization of Fractional Order Proportional Integral Derivative Controllers for Hard- Disk Drive Servo Systems
Hard-disk drives (HDD‘s) are widely used data storage medium for computers and many other data processing devices. The servo mechanism in HDD plays an important role in high performance requirements of HDD‘s. Gain variations present in hard ware components of HDD‘s affects the consistent track following performances. So the servo system needs to improve in track following and robustness perform...
متن کاملRobust Fractional Order Proportional, Integral and Derivative Stabilizer for Power Systems
This paper focuses on the application of a robust Fractional Order PID (FOPID) stabilizer tuned by Genetic Algorithm (GA). The system’s robustness is assured through the application of Kharitonov’s theorem to overcome the effect of system parameter’s changes within upper and lower limits. The FOPID stabilizer has been approximatedduring the optimization using the Oustaloup’s approximation for f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2021
ISSN: 2314-4785,2314-4629
DOI: 10.1155/2021/9990439