An existence and uniqueness theorem for fuzzy H-integral equations of fractional order

Mouffak Benchohra; Abderrahmane Boukenkoul

doi:10.26637/mjm202/007

Abstract

We present an existence and uniqueness theorem for \(\mathrm{H}\) - integral equations of fractional order involving fuzzy set valued mappings of a real variable whose values are normal, convex, upper semi continuous and compactly supported fuzzy sets in \(\mathbb{R}^n\). The method of successive approximation is the main tool in our analysis.

Keywords:

Fuzzy mapping, fractional orders, Riemann-Liouville H-differentiability, Fuzzy H-integral equation, Hausdorff metric, successive approximation

Mathematics Subject Classification:

26A33, 34A07

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Mouffak Benchohra Department of Mathematics, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia.
Abderrahmane Boukenkoul Département de Foresterie et d’Agronomie, Faculté des sciences de la vie et de l’environnement, Université Abou Bekr Belkaid, Tlemcen, Algérie.

Pages: 151-159
Date Published: 01-04-2014
Vol. 2 No. 02 (2014): Malaya Journal of Matematik (MJM)

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