Work

Analytic Approach Solution to Time-Fractional Phi-4 Equation with Two-Parameter Fractional Derivative

Year: 2024

Type: article

Abstract: This paper is devoted to building a general framework for constructing a solution to fractional Phi-4 differential equations using a Caputo definition with two parameters. We briefly introduce some definitions and properties of fractional calculus in two parameters and the Phi-4 equation. By investigating the homotopy analysis method, we built the solution algorithm. The two parameters of the fractional derivative gain vary the behavior of the solution, which allows the researchers to fit their data with the proper parameter. To evaluate the effectiveness and accuracy of the proposed algorithm, we compare the results with those obtained using various numerical methods in a comprehensive comparative study.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8100576

Authors: Youssouf Massoun, Abedel-Karrem Alomari, Clemente Cesarano

Institutions: University of Algiers Benyoucef Benkhedda, Algiers 2 University, Yarmouk University, UniNettuno University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

OpenAlex ID: W4402990315

FWCI: 1.38

Cites: 20

Cited by: 4

Related to: 10