Hyers-Ulam-Rassias stability of first order linear partial fuzzy differential equations under generalized differentiability

In the present paper, we establish a multivariate fuzzy chain rule under generalized differentiability by extending the corresponding chain rule under H -differentiability. Based on the result, we discuss the Ulam stability problems of two types of first order linear partial fuzzy differential equat...

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Veröffentlicht in:	Advances in difference equations 2015-11, Vol.2015 (1), p.1-18, Article 351
1. Verfasser:	Shen, Yonghong
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Chains Difference and Functional Equations Difference equations Differential equations Functional Analysis Fuzzy Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Stability
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Beschreibung
Zusammenfassung:	In the present paper, we establish a multivariate fuzzy chain rule under generalized differentiability by extending the corresponding chain rule under H -differentiability. Based on the result, we discuss the Ulam stability problems of two types of first order linear partial fuzzy differential equations under generalized differentiability.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-015-0685-2