@inproceedings{620a027dcf984abbbfa16645cf0cf97b,
title = "Exact and Approximate Solutions of Heat Fractional Differential Equation Using Laplace Residual Power Series Method",
abstract = "This study deals with the analytical and approximate solutions of the Heat fractional Partial differential equation under Caputo's definition. Through a practical and highly efficient technique called Laplace residual power series method. In fact, this method is a combination of the residual power series method and the Laplace transformation. In this method, we transfer the considered equation to the Laplace space, then by the concept of the limit we construct in fast convergence a new fractional expansion of the Maclaurin series solution and finally transform back the approximate solution. The Laplace residual power series method can be used to find analytical and approximate solutions for both linear and nonlinear fractional partial differential equations.",
keywords = "Caputo derivative, Heat equation, Laplace transform, fractional differentiation",
author = "Hussam Aljarrah and Mohammad Alaroud and Anuar Ishak and Maslina Darus and Shaher Momani",
note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 ; Conference date: 14-03-2023 Through 16-03-2023",
year = "2023",
doi = "10.1109/ICFDA58234.2023.10153156",
language = "English",
series = "2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023",
address = "United States",
}