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A Novel Numerical Method for Solving Modified Atangana–baleanu Fractional Problems Based on the Operational Matrix Method

Year: 2025

Type: article

Abstract: A novel numerical method for solving modified Atangana–Baleanu fractional problems based on the operational matrix method is presented in this paper. We modify the operational matrix method so that its coefficients can be found in an iterative, direct manner. This avoids solving a large algebraic system, which would be computationally expensive. Several theoretical results are presented, including the existence and uniqueness of the solution for our problem, as well as uniform convergence and error estimates. Examples are provided to demonstrate the efficiency of our numerical approach. Both numerical and theoretical results show that our modified approach works very efficiently. Several applications are discussed.

Source: Fractals

DOI: 10.1142/s0218348x25400717

Authors: LANA ABDELHAQ, SONDOS M. SYAM, MUHAMMED I. SYAM

Institution: United Arab Emirates University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: United Arab Emirates University

OpenAlex ID: W4407227343

FWCI: 1.526

Cites: 20

Cited by: 2

Related to: 10