scholarly journals About Robust Stability of Caputo Linear Fractional Dynamic Systems with Time Delays through Fixed Point Theory

2011 ◽  
Vol 2011 (1) ◽  
pp. 867932 ◽  
Author(s):  
M De la Sen
Keyword(s):  
Fixed Point ◽  
Robust Stability ◽  
Dynamic Systems ◽  
Time Delays ◽  
Fixed Point Theory ◽  
Point Theory

scholarly journals About Applications of the Fixed Point Theory

2017 ◽  
Vol 22 (1) ◽  
pp. 13-17
Author(s):  
Amelia Bucur
Keyword(s):  
Fixed Point ◽  
Mathematical Modelling ◽  
Dynamic Systems ◽  
Equilibrium Problems ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Dynamic Systems Theory ◽  
Mathematical Economics ◽  
Differential Equations And Inclusions ◽  
Applied Fields

Abstract The fixed point theory is essential to various theoretical and applied fields, such as variational and linear inequalities, the approximation theory, nonlinear analysis, integral and differential equations and inclusions, the dynamic systems theory, mathematics of fractals, mathematical economics (game theory, equilibrium problems, and optimisation problems) and mathematical modelling. This paper presents a few benchmarks regarding the applications of the fixed point theory. This paper also debates if the results of the fixed point theory can be applied to the mathematical modelling of quality.

Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative

2019 ◽  
Vol 14 (3) ◽  
pp. 311 ◽  
Author(s):  
Muhammad Altaf Khan ◽  
Zakia Hammouch ◽  
Dumitru Baleanu
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Numerical Scheme ◽  
Arbitrary Order ◽  
Fixed Point Theory ◽  
Hepatitis E ◽  
Point Theory ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Essential Properties

A virus that causes hepatitis E is known as (HEV) and regarded on of the reason for lever inflammation. In mathematical aspects a very low attention has been paid to HEV dynamics. Therefore, the present work explores the HEV dynamics in fractional derivative. The Caputo–Fabriizo derivative is used to study the dynamics of HEV. First, the essential properties of the model will be presented and then describe the HEV model with CF derivative. Application of fixed point theory is used to obtain the existence and uniqueness results associated to the model. By using Adams–Bashfirth numerical scheme the solution is obtained. Some numerical results and tables for arbitrary order derivative are presented.

scholarly journals A new method in fixed point theory

1960 ◽  
Vol 34 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Richard G. Swan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Point Theory ◽  
New Method

Applications of General Infimum Principles to Fixed-Point Theory and Game Theory

2007 ◽  
Vol 16 (4) ◽  
pp. 375-398 ◽  
Author(s):  
Władysław Kulpa ◽  
Andrzej Szymanski
Keyword(s):  
Game Theory ◽  
Fixed Point ◽  
Fixed Point Theory ◽  
Point Theory

scholarly journals New Contribution to the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-1 ◽  
Author(s):  
Wei-Shih Du ◽  
Erdal Karapınar ◽  
Lai-Jiu Lin ◽  
Gue Myung Lee ◽  
Tamaki Tanaka
Keyword(s):  
Fixed Point ◽  
Equilibrium Problems ◽  
Optimization Problems ◽  
Fixed Point Theory ◽  
Point Theory
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