Aumann Fuzzy Improper Integral and Its Application to Solve Fuzzy Integro-Differential Equations by Laplace Transform Method

Elhassan Eljaoui; Said Melliani; L. Saadia Chadli

doi:10.1155/2018/9730502

Advances in Fuzzy Systems (Jan 2018)

Aumann Fuzzy Improper Integral and Its Application to Solve Fuzzy Integro-Differential Equations by Laplace Transform Method

Elhassan Eljaoui,
Said Melliani,
L. Saadia Chadli

Affiliations

Elhassan Eljaoui: Department of Mathematics, University of Sultan Moulay Slimane, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, Morocco
Said Melliani: Department of Mathematics, University of Sultan Moulay Slimane, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, Morocco
L. Saadia Chadli: Department of Mathematics, University of Sultan Moulay Slimane, Laboratory of Applied Mathematics & Scientific Calculus, P.O. Box 523, Beni Mellal, Morocco

DOI: https://doi.org/10.1155/2018/9730502
Journal volume & issue: Vol. 2018

Abstract

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We introduce the Aumann fuzzy improper integral to define the convolution product of a fuzzy mapping and a crisp function in this paper. The Laplace convolution formula is proved in this case and used to solve fuzzy integro-differential equations with kernel of convolution type. Then, we report and correct an error in the article by Salahshour et al. dealing with the same topic.

Published in Advances in Fuzzy Systems

ISSN: 1687-7101 (Print); 1687-711X (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering; Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
Website: https://onlinelibrary.wiley.com/journal/4713

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