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AIMS Mathematics
Article . 2023 . Peer-reviewed
Data sources: Crossref
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AIMS Mathematics
Article . 2023
Data sources: DOAJ
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The fuzzy fractional acoustic waves model in terms of the Caputo-Fabrizio operator

Authors: Naveed Iqbal; Imran Khan; Rasool Shah; Kamsing Nonlaopon;

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

Abstract

<abstract><p>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.</p></abstract>

Keywords

fuzzy fractional acoustic waves equation, QA1-939, iterative transform method, caputo-fabrizio operator, approximate solution, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Average
Top 10%
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