scholarly journals Educational reform informatisation based on fractional differential equation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Shuai Man ◽  
Rongjie Yang
Keyword(s):  
Differential Equation ◽  
Image Processing ◽  
Fractional Differential Equation ◽  
Processing Time ◽  
College Education ◽  
Original Method ◽  
University Education ◽  
Power Method ◽  
Information Power ◽  
Fractional Differential

Abstract In order to solve the problem that the image processing time is too long in the use of the original college education information power method, therefore, the design of the fractional differential equation of higher education information power method was created. According to the information source, a combination of various methods is set to complete the data collection. Compared with the content of fractional differential equation, the fractional differential equation is selected to complete the image information processing, develop the processing process and select the appropriate equipment to complete the image processing, set up the experimental equipment, and select the experimental samples to obtain the experimental results. Compared with the original method, the image processing time of this method is significantly shorter than that of the original method. Therefore, this method is more efficient for image processing and has a more obvious effect on the informatisation of university education.

scholarly journals Calculating university education model based on finite element fractional differential equations and macro-control analysis

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Caijuan Li ◽  
Nawaf Alhebaishi ◽  
Mohammed Alaa Alhamami
Keyword(s):  
Differential Equation ◽  
College Education ◽  
University Education ◽  
Control Analysis ◽  
Basic Model ◽  
Theory Of Education ◽  
Differential Equation Models ◽  
Basic Differential Equation ◽  
Fractional Differential ◽  
Education Model

Abstract Firstly, based on the charging theory of ‘education cost-sharing,’ under appropriate assumptions, two basic differential equation models are proposed to describe the problem of college education charges; secondly, through qualitative analysis of the basic model, it is concluded that colleges and universities maintain or impose several conditions for stabilising its education fees; finally, through the analysis of two basic models in three unique models under three situations, some new conclusions and suggestions on the macro-control of college education fees and enrolment scale are given. Also, three extended differential equation models are proposed.

scholarly journals Fractional Differential Equation-Based Instantaneous Frequency Estimation for Signal Reconstruction

2021 ◽  
Vol 5 (3) ◽  
pp. 83
Author(s):  
Bilgi Görkem Yazgaç ◽  
Mürvet Kırcı
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Frequency Estimation ◽  
Signal Reconstruction ◽  
Reconstruction Method ◽  
Reconstruction Algorithms ◽  
Instantaneous Frequency Estimation ◽  
Proposed Model ◽  
Fractional Differential ◽  
Instantaneous Frequencies

In this paper, we propose a fractional differential equation (FDE)-based approach for the estimation of instantaneous frequencies for windowed signals as a part of signal reconstruction. This approach is based on modeling bandpass filter results around the peaks of a windowed signal as fractional differential equations and linking differ-integrator parameters, thereby determining the long-range dependence on estimated instantaneous frequencies. We investigated the performance of the proposed approach with two evaluation measures and compared it to a benchmark noniterative signal reconstruction method (SPSI). The comparison was provided with different overlap parameters to investigate the performance of the proposed model concerning resolution. An additional comparison was provided by applying the proposed method and benchmark method outputs to iterative signal reconstruction algorithms. The proposed FDE method received better evaluation results in high resolution for the noniterative case and comparable results with SPSI with an increasing iteration number of iterative methods, regardless of the overlap parameter.

scholarly journals Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Idris Ahmed ◽  
Poom Kumam ◽  
Jamilu Abubakar ◽  
Piyachat Borisut ◽  
Kanokwan Sitthithakerngkiet
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Fixed Point ◽  
Fractional Differential Equation ◽  
Existence And Uniqueness ◽  
Periodic Boundary Condition ◽  
Periodic Boundary ◽  
Fixed Point Theorems ◽  
Uniqueness Of The Solution ◽  
Fractional Differential

Abstract This study investigates the solutions of an impulsive fractional differential equation incorporated with a pantograph. This work extends and improves some results of the impulsive fractional differential equation. A differential equation of an impulsive fractional pantograph with a more general anti-periodic boundary condition is proposed. By employing the well-known fixed point theorems of Banach and Krasnoselskii, the existence and uniqueness of the solution of the proposed problem are established. Furthermore, two examples are presented to support our theoretical analysis.

scholarly journals On a strong-singular fractional differential equation

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Dumitru Baleanu ◽  
Khadijeh Ghafarnezhad ◽  
Shahram Rezapour ◽  
Mehdi Shabibi
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Singular Fractional Differential Equation ◽  
Fractional Differential
Sign in / Sign up

Export Citation Format

Share Document