scholarly journals On the Reduction of the Linear System of the Differential Equations with coefficients of oscillating type to the Triangular Kind in the Resonant Case

2020 ◽  
Vol 25 (1(35)) ◽  
pp. 31-50
Author(s):  
S. A. Shchogolev
Keyword(s):  
Linear System ◽  
Differential Equations ◽  
Resonant Case

Normalization Bernstein Basis For Solving Fractional Fredholm-Integro Differential Equation

2018 ◽  
pp. 491
Author(s):  
Abdul Khaleq O. Al-Jubory ◽  
Shaymaa Hussain Salih
Keyword(s):  
Differential Equation ◽  
Approximate Solution ◽  
Linear System ◽  
Differential Equations ◽  
Bernstein Basis ◽  
Traditional Methods ◽  
Integro Differential Equation

In this work, we employ a new normalization Bernstein basis for solving linear Freadholm of fractional integro-differential equations  nonhomogeneous  of the second type (LFFIDEs). We adopt Petrov-Galerkian method (PGM) to approximate solution of the (LFFIDEs) via normalization Bernstein basis that yields linear system. Some examples are given and their results are shown in tables and figures, the Petrov-Galerkian method (PGM) is very effective and convenient and overcome the difficulty of traditional methods. We solve this problem (LFFIDEs) by the assistance of Matlab10.   

scholarly journals On new solutions of linear system of first -order fuzzy differential equations with fuzzy coefficient

2016 ◽  
Vol 2016 ◽  
pp. 110-117 ◽  
Author(s):  
A. Karimi Dizicheh ◽  
S. Salahshour ◽  
F. Ismail ◽  
A. Ahmadian Hosseini
Keyword(s):  
Linear System ◽  
Differential Equations ◽  
First Order
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