scholarly journals Information Teaching Model of Preschool Art Education in Colleges and Universities Based on Finite Element Higher-Order Fractional Differential Equation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Yina Zhang ◽  
Yue Wu ◽  
Fahd S Alotaibi ◽  
Mohammed Yousuf Abo Keir
Keyword(s):  
Differential Equation ◽  
Finite Element ◽  
Fractional Differential Equation ◽  
Fine Arts ◽  
Preschool Education ◽  
Colleges And Universities ◽  
Higher Order ◽  
Teaching Model ◽  
Education Major ◽  
Fractional Differential

Abstract In order to meet the social demand for preschool education professionals, based on the finite element higher-order fractional differential equation, this paper studies the information teaching model of preschool education of fine arts in colleges and universities. Through the scientific and effective fine arts education in the preschool education major in colleges and universities, the students’ fine arts ability can be effectively improved, and the application of information means can make this goal can be better realised so that the teaching needs can be better satisfied and they promote the better development of fine arts education in the preschool education major.

scholarly journals Information technology of preschool education reform of fine arts based on fractional differential equation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Yue Wu ◽  
Yina Zhang ◽  
Fahd S Alotaibi ◽  
Khairi Omar
Keyword(s):  
Differential Equation ◽  
Information Technology ◽  
Education Reform ◽  
Art Education ◽  
Fractional Differential Equation ◽  
Stokes Equations ◽  
Fine Arts ◽  
Preschool Education ◽  
Navier Stokes ◽  
Fractional Differential

Abstract Objective To study the information reform of preschool education of fine arts under fractional differential equation. Methods: In this paper, the fractional Navier-Stokes equations are compared with the traditional models through some numerical experiments, which provides a certain basis for future physical application. In order to improve students’ comprehensive ability and quality, we should strengthen education and teaching in all aspects, and art education is a more important aspect. The results show that the numerical solution of the integral equation with different values is close to a point at x = 1, that is, u (1) = 0.5. Conclusion In the current preschool education professional art education teaching process, the use of information technology means has become a necessary teaching requirement and need to improve the teaching effect, and the quality is of great significance and value, thus ensuring better able to carry out education of fine arts teaching, which enables students for better development, guarantees for a better future that is better for preschool education.

scholarly journals Positive Solutions for a Higher-Order Semipositone Nonlocal Fractional Differential Equation with Singularities on Both Time and Space Variable

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Kemei Zhang
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fractional Differential Equation ◽  
Point Theorem ◽  
Fractional Derivatives ◽  
Space Variable ◽  
Higher Order ◽  
Existence Results ◽  
Fractional Differential

In this paper, we consider the following higher-order semipositone nonlocal Riemann-Liouville fractional differential equation D0+αx(t)+f(t,x(t),D0+βx(t))+e(t)=0,  0<t<1,D0+βx(0)=D0+β+1x(0)=⋯=D0+n+β-2x(0)=0, and D0+βx(1)=∑i=1m-2ηiD0+βx(ξi), where D0+α and D0+β are the standard Riemann-Liouville fractional derivatives. The existence results of positive solution are given by Guo-krasnosel’skii fixed point theorem and Schauder’s fixed point theorem.

scholarly journals Existence of Positive Solutions for a Higher-Order Fractional Differential Equation with Multi-Term Lower-Order Derivatives

Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3031
Author(s):  
Weiwei Liu ◽  
Lishan Liu
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Fractional Differential Equation ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Lower Order ◽  
Higher Order ◽  
Existence Of Positive Solutions ◽  
Fractional Differential ◽  
Weaker Conditions

This paper deals with the study of the existence of positive solutions for a class of nonlinear higher-order fractional differential equations in which the nonlinear term contains multi-term lower-order derivatives. By reducing the order of the highest derivative, the higher-order fractional differential equation is transformed into a lower-order fractional differential equation. Then, combining with the properties of left-sided Riemann–Liouville integral operators, we obtain the existence of the positive solutions of fractional differential equations utilizing some weaker conditions. Furthermore, some examples are given to demonstrate the validity of our main results.

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