AUTHOR=Shah Manzoor Ali , Yasmin Humaira , Ghani Fazal , Abdullah Saleem , Khan Imran , Shah Rasool 

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

JOURNAL=Frontiers in Physics

VOLUME=Volume 11 - 2023

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1169548

DOI=10.3389/fphy.2023.1169548

ISSN=2296-424X

ABSTRACT=This article is devoted to investigating or computing the solutions to fuzzy fractional order Cahn-Hilliard
and Gardner equations. Specifically, the fuzzy Gardner and Cahn-Hilliard equation is hybridized into two
equations using hybrid techniques and the notion of a parametric fuzzy number. A combination of the
novel iterative approach and the Shehu transformation is utilized for this inquiry. The procedures for
computing a series of solutions to the fractional order Cahn-Hilliard and Gardner problem are provided.
In addition to providing precision, simplicity, and efficacy, the applied techniques have also outperformed
other current technologies. Finally, some examples are solved in order to justify our theoretical solution.