@article{Qazza2023, 
author = {Ahmad Qazza and Rania Saadeh and Emad Salah},
title = {Solving fractional partial differential equations via a new scheme},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {5318-5337},
keywords = {analytical solution, fractional differential equations, power series, time fractional partial differential equations},
url = {https://www.sciopen.com/article/10.3934/math.2023267},
doi = {10.3934/math.2023267},
abstract = {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 time-fractional partial problems. We introduce a new theorem to explain the required substitutions of the proposed method. In addition, convergence analysis conditions of the method are given. Furthermore, some different illustrative examples of time-fractional partial differential equations and systems are discussed to show the applicability and simplicity of the new approach.}
}