Special Issue: Advances in Fractional Differential Equations (V): Time–Space Fractional PDEs

2019 ◽  
Vol 78 (5) ◽  
pp. 1243
Author(s):  
Yong Zhou ◽  
Michal Feckan ◽  
Fawang Liu ◽  
J.A. Tenreiro Machado
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Special Issue ◽  
Time Space ◽  
Fractional Pdes ◽  
Fractional Differential

scholarly journals A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Fenghui Huang
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Spectral Expansion ◽  
Interpolation Polynomial ◽  
Lagrange Interpolation Polynomial ◽  
Multidimensional Problems ◽  
Time Space ◽  
Collocation Spectral Method ◽  
Fractional Differential ◽  
Time Fractional Differential Equations

A numerical scheme is presented for a class of time fractional differential equations with Dirichlet's and Neumann's boundary conditions. The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial. Numerical results demonstrate the spectral accuracy and efficiency of the collocation spectral method. The technique not only is easy to implement but also can be easily applied to multidimensional problems.

scholarly journals NUMERICAL SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS VIA LAPLACE TRANSFORM

2021 ◽  
pp. 249
Author(s):  
Süleyman Çetinkaya ◽  
Ali Demir
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Iterative Method ◽  
Laplace Transform ◽  
Fractional Differential Equations ◽  
Numerical Solutions ◽  
Fractional Partial Differential Equations ◽  
Nonlinear Fractional Differential Equations ◽  
Time Space ◽  
Fractional Differential

In this study, solutions of time-space fractional partial differential equations(FPDEs) are obtained by utilizing the Shehu transform iterative method. The utilityof the technique is shown by getting numerical solutions to a large number of FPDEs.

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