Theoretical performance bounds for reduced-order linear and nonlinear distributed estimation

2012 ◽  
Author(s):  
Arash Mohammadi ◽  
Amir Asif
Keyword(s):  
Distributed Estimation ◽  
Performance Bounds ◽  
Reduced Order ◽  
Order Linear ◽  
Linear And Nonlinear ◽  
Theoretical Performance

scholarly journals Lie symmetry analysis for the solution of first-order linear and nonlinear fractional differential equations

2018 ◽  
Vol 7 (2) ◽  
pp. 37 ◽  
Author(s):  
Mousa Ilie ◽  
Jafar Biazar ◽  
Zainab Ayati
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Lie Symmetry ◽  
Order Linear ◽  
Nonlinear Fractional Differential Equations ◽  
First Order ◽  
Fractional Equations ◽  
Fractional Differential ◽  
Linear And Nonlinear ◽  
Fractional Equation

Obtaining analytical or numerical solution of fractional differential equations is one of the troublesome and challenging issues among mathematicians and engineers, specifically in recent years. The purpose of this paper is to solve linear and nonlinear fractional differential equations such as first order linear fractional equation, Bernoulli, and Riccati fractional equations by using Lie Symmetry method, based on conformable fractional derivative. For each equation, some numerical examples are presented to illustrate the proposed approach.  

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