Title :
Fuzzy differential equations with generalized derivative
Author :
Chalco-Cano, Y. ; Román-Flores, H. ; Rojas-Medar, M.A.
Author_Institution :
Dept. de Mat., Univ. de Tarapaca, Casilla
Abstract :
In this paper we study fuzzy differential equations with generalized derivative. We obtain some properties of the generalized derivative. We discuss the equivalence of the fuzzy Cauchy problem and an Aumann-type integral equation. This study also makes some observations on the existence of solutions.
Keywords :
differential equations; fuzzy set theory; integral equations; Aumann-type integral equation; fuzzy Cauchy problem; fuzzy differential equation; generalized derivative; Biomedical optical imaging; Chaos; Differential equations; Fuzzy set theory; Fuzzy sets; Gravity; Integral equations; Mathematical model; Power system modeling; Uncertainty;
Conference_Titel :
Fuzzy Information Processing Society, 2008. NAFIPS 2008. Annual Meeting of the North American
Conference_Location :
New York City, NY
Print_ISBN :
978-1-4244-2351-4
Electronic_ISBN :
978-1-4244-2352-1
DOI :
10.1109/NAFIPS.2008.4531290
