Detecting Critical Point of Fractional-Order Chemical System with Synchronization and Application to Image Enhancement Technique

2021 ◽  
Author(s):  
P. Muthukumar ◽  
N. Ramesh Babu ◽  
P. Balasubramaniam
Keyword(s):  
Critical Point ◽  
Image Enhancement ◽  
Fractional Order ◽  
Chemical System ◽  
Enhancement Technique

scholarly journals Object-Based Image Enhancement Technique for Gray Scale Images

2014 ◽  
Vol 4 (3) ◽  
pp. 9-23
Author(s):  
Srinivasa Rao G ◽  
Sri Krishna A ◽  
Mahaboob Basha S ◽  
Prakash Ch. Jeevan
Keyword(s):  
Image Enhancement ◽  
Gray Scale ◽  
Enhancement Technique ◽  
Object Based

scholarly journals Impact of Image Enhancement Technique on CNN Model for Retinal Blood Vessels Segmentation

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 158183-158197 ◽  
Author(s):  
Toufique Ahmed Soomro ◽  
Ahmed J. Afifi ◽  
Ahmed Ali Shah ◽  
Shafiullah Soomro ◽  
Gulsher Ali Baloch ◽  
...  
Keyword(s):  
Blood Vessels ◽  
Image Enhancement ◽  
Enhancement Technique ◽  
Retinal Blood Vessels

Mode Analysis on Onset of Turing Instability in Time-Fractional Reaction-Subdiffusion Equations by Two-Dimensional Numerical Simulations

2019 ◽  
Vol 14 (6) ◽  
Author(s):  
Masataka Fukunaga
Keyword(s):  
Critical Point ◽  
Fractional Order ◽  
Time Derivative ◽  
Turing Instability ◽  
Reaction Diffusion Equations ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Linearized Equations ◽  
Special Cases ◽  
Fractional Reaction

There are two types of time-fractional reaction-subdiffusion equations for two species. One of them generalizes the time derivative of species to fractional order, while in the other type, the diffusion term is differentiated with respect to time of fractional order. In the latter equation, the Turing instability appears as oscillation of concentration of species. In this paper, it is shown by the mode analysis that the critical point for the Turing instability is the standing oscillation of the concentrations of the species that does neither decays nor increases with time. In special cases in which the fractional order is a rational number, the critical point is derived analytically by mode analysis of linearized equations. However, in most cases, the critical point is derived numerically by the linearized equations and two-dimensional (2D) simulations. As a by-product of mode analysis, a method of checking the accuracy of numerical fractional reaction-subdiffusion equation is found. The solutions of the linearized equation at the critical points are used to check accuracy of discretized model of one-dimensional (1D) and 2D fractional reaction–diffusion equations.

Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical point theory

2019 ◽  
Vol 22 (4) ◽  
pp. 945-967
Author(s):  
Nemat Nyamoradi ◽  
Stepan Tersian
Keyword(s):  
Differential Equations ◽  
Variational Method ◽  
Boundary Value Problem ◽  
Critical Point ◽  
Fractional Order ◽  
Critical Point Theory ◽  
Existence Of Solutions ◽  
Point Theory ◽  
Fractional Boundary Value Problem ◽  
New Criteria

Abstract In this paper, we study the existence of solutions for a class of p-Laplacian fractional boundary value problem. We give some new criteria for the existence of solutions of considered problem. Critical point theory and variational method are applied.

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