scholarly journals Numerical Technique for a System of Nonlinear Partial Differential Equations of the Time-Fractional Order

2018 ◽  
Vol 07 (02) ◽  
Author(s):  
Kawala AM
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Order ◽  
Numerical Technique ◽  
Nonlinear Partial Differential Equations ◽  
Partial Differential

scholarly journals Solvability of Impulsive Nonlinear Partial Differential Equations with Nonlocal Conditions

2020 ◽  
pp. 140-152
Author(s):  
Ali Kadhim Jabbar ◽  
Sameer Qasim Hasan
Keyword(s):  
Cauchy Problem ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Order ◽  
Theoretical Approach ◽  
Nonlinear Partial Differential Equations ◽  
Nonlocal Conditions ◽  
Abstract Cauchy Problem ◽  
Beam Equation ◽  
Partial Differential

The aim of this paper is to investigate the theoretical approach for solvability of impulsive abstract Cauchy problem for impulsive nonlinear fractional order partial differential equations with nonlocal conditions, where the nonlinear extensible beam equation is a particular application case of this problem.

scholarly journals Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Asma Ali Elbeleze ◽  
Adem Kılıçman ◽  
Bachok M. Taib
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Perturbation Method ◽  
Convergence Analysis ◽  
Fractional Order ◽  
Fractional Derivatives ◽  
Homotopy Perturbation Method ◽  
Nonlinear Partial Differential Equations ◽  
Partial Differential ◽  
Homotopy Perturbation

We apply the homotopy perturbation method to obtain the solution of partial differential equations of fractional order. This method is powerful tool to find exact and approximate solution of many linear and nonlinear partial differential equations of fractional order. Convergence of the method is proved and the convergence analysis is reliable enough to estimate the maximum absolute truncated error of the series solution. The fractional derivatives are described in the Caputo sense. Some examples are presented to verify convergence hypothesis and simplicity of the method.

Sign in / Sign up

Export Citation Format

Share Document