Fuzzy fractional Gardner and Cahn–Hilliard equations with the Atangana–Baleanu operator

Autor: Manzoor Ali Shah, Humaira Yasmin, Fazal Ghani, Saleem Abdullah, Imran Khan, Rasool Shah
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Frontiers in Physics, Vol 11 (2023)
Druh dokumentu: article
ISSN: 2296-424X
DOI: 10.3389/fphy.2023.1169548
Popis: This article focuses on the investigation and computation of solutions to fuzzy fractional-order Cahn–Hilliard and Gardner equations. The study hybridizes the fuzzy Gardner and Cahn–Hilliard equation into two equations using hybrid techniques and the concept of a parametric fuzzy number. To explore these equations, a combination of a novel iterative approach and the Shehu transformation is employed. The article presents detailed procedures for computing a series of solutions to the fractional-order Cahn–Hilliard and Gardner problem. The applied techniques not only offer precision, simplicity, and efficacy but also outperform other existing technologies. Additionally, several examples are solved to validate the proposed theoretical solution.
Databáze: Directory of Open Access Journals