Solving fractional partial differential equations via a new scheme
In this paper, we introduce a new technique, called the direct power series method to solve several types of time-fractional partial differential equations and systems, in terms of the Caputo derivative. We illustrate the method with a simple algorithm that can be used to solve different types of ti...
Main Authors: | Ahmad Qazza, Rania Saadeh, Emad Salah |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-01-01
|
Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023267?viewType=HTML |
Similar Items
-
Direct Power Series Approach for Solving Nonlinear Initial Value Problems
by: Emad Salah, et al.
Published: (2023-01-01) -
ARA-residual power series method for solving partial fractional differential equations
by: Aliaa Burqan, et al.
Published: (2023-01-01) -
New Numerical Approach of Solving Highly Nonlinear Fractional Partial Differential Equations via Fractional Novel Analytical Method
by: Mariam Sultana, et al.
Published: (2022-09-01) -
A Novel Scheme of the ARA Transform for Solving Systems of Partial Fractional Differential Equations
by: Aliaa Burqan
Published: (2023-03-01) -
A Least Squares Differential Quadrature Method for a Class of Nonlinear Partial Differential Equations of Fractional Order
by: Constantin Bota, et al.
Published: (2020-08-01)