Details

Autor(en) / Beteiligte

• Ahmad, Jamshad
• Nusrat, Fatima

Titel

Investigation of fuzzy fractional Kuramoto–Sivashinsky equations by an efficient approach

Ist Teil von

• Optical and quantum electronics, 2024, Vol.56 (1), Article 53

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2024

Quelle

SpringerLink

Beschreibungen/Notizen

• In this article, we examine the Kuramoto–Sivashinsky equation, a nonlinear model that modifies a variety of physical and chemical scenarios. The main goal of this article is to find the analytical solution to the fuzzy fractional Kuramoto–Sivashinsky equations (FFKSEs). We employ the fractional reduced differential transform method (FRDTM) for dealing with the fractional Caputo operator. By using three examples, we tested the developed technique. The upper and lower parts of the fuzzy solutions for all three challenges were obtained using two different fractional-order simulations between 0 and 1. The attained series-type result was identified in the current investigation. The results show that the suggested strategy leads to accurate solutions at the integer level. The outcomes of applying the suggested methodology demonstrate the effectiveness and simplicity of our approach for analysing the behaviour of nonlinear models used in science and technology.