The fuzzy fractional acoustic waves model in terms of the Caputo-Fabrizio operator

AIMS Mathematics

article

Naveed Iqbal¹  Imran Khan²  Rasool Shah³  Kamsing Nonlaopon⁴ 

[1] Department of Mathematics, College of Science, University of Ha'il;Department of Mathematics and Statistics Bacha Khan University Charsadda;Department of mathematics, Abdul Wali Khan University Mardan Pakistan;Department of Mathematics, Faculty of Science, Khon Kaen University

关键词: iterative transform method;    Caputo-Fabrizio operator;    fuzzy fractional acoustic waves equation;    approximate solution;   

DOI  :  10.3934/math.2023091

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper proposes an analytical solution for a fractional fuzzy acoustic wave equation. Under the fractional Caputo-Fabrizio operator, we use the Laplace transformation and the iterative technique. In the present study, the achieved series type result was determined, and we approximated the estimated values of the suggested models. All three problems used two various fractional-order simulations between 0 and 1 to obtain the upper and lower portions of the fuzzy results. Since the exponential function is present, the fractional operator is non-singular and global. Due to its dynamic behaviors, it provides all fuzzy form solutions that happen between 0 and 1 at any level of fractional order. Because the fuzzy numbers return the solution in a fuzzy shape with upper and lower branches, the unknown quantity likewise incorporates fuzziness.

【 授权许可】

CC BY