Numerical approach for a class of distributed order time fractional partial differential equations

2019 ◽  
Vol 136 ◽  
pp. 152-162 ◽  
Author(s):  
B.P. Moghaddam ◽  
J.A. Tenreiro Machado ◽  
M.L. Morgado
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Approach ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Distributed Order

scholarly journals An efficient numerical approach for space fractional partial differential equations

2020 ◽  
Vol 59 (5) ◽  
pp. 2911-2919
Author(s):  
Rabia Shikrani ◽  
M.S. Hashmi ◽  
Nargis Khan ◽  
Abdul Ghaffar ◽  
Kottakkaran Sooppy Nisar ◽  
...  
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Approach ◽  
Fractional Partial Differential Equations ◽  
Partial Differential

scholarly journals New method for solving a class of fractional partial differential equations with applications

2018 ◽  
Vol 22 (Suppl. 1) ◽  
pp. 277-286 ◽  
Author(s):  
Hossein Jafari ◽  
Haleh Tajadodi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Integration ◽  
Operational Matrix ◽  
Numerical Approach ◽  
Algebraic Equations ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Linear Algebraic Equations ◽  
Spline Polynomial

In this work we suggest a numerical approach based on the B-spline polynomial to obtain the solution of linear fractional partial differential equations. We find the operational matrix for fractional integration and then we convert the main problem into a system of linear algebraic equations by using this matrix. Examples are provided to show the simplicity of our method.

scholarly journals Oscillation criteria of certain fractional partial differential equations

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Di Xu ◽  
Fanwei Meng
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Derivatives ◽  
Sufficient Conditions ◽  
Riccati Transformation ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Oscillation Criteria ◽  
Generalized Riccati Transformation

Abstract In this article, we regard the generalized Riccati transformation and Riemann–Liouville fractional derivatives as the principal instrument. In the proof, we take advantage of the fractional derivatives technique with the addition of interval segmentation techniques, which enlarge the manners to demonstrate the sufficient conditions for oscillation criteria of certain fractional partial differential equations.

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