Theory of Fuzzy Differential Equations and Inclusions

By V. Lakshmikantham, R. Mohapatra. 2003

510 citations recorded by the source corpus.

Subfields: Applied Mathematics, Artificial Intelligence, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/24b5fada0b49f1b2f3fc5dee28592f900f6f1c93

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. T. Gnana Bhaskar
2. Luciano Stefanini
3. Donal O'Regan
4. V. Lakshmikantham
5. Ravi P. Agarwal
6. Yong Zhou
7. V. Vijayakumar
8. Ljubomir Ciric

In Artificial Intelligence

1. T. Gnana Bhaskar
2. Luciano Stefanini
3. Donal O'Regan
4. V. Lakshmikantham

In Numerical Analysis

1. T. Gnana Bhaskar
2. Luciano Stefanini
3. Donal O'Regan
4. V. Lakshmikantham
5. Ravi P. Agarwal
6. N. Kosmatov
7. Ljubomir Ciric
8. Martin J. Bohner

Citations in the corpus

• Set Differential Equations and Flow Invariance (2003, background): “Furthermore, in [5] the interconnection between set differential equations and fuzzy differential equations is investigated, thus providing another advantageous approach for the study of fuzzy differential equations [6].”
• An Introduction to Ordinary Differential Equations (2008, background): “Other types of differential equations which have made a significant impact in mathematics and are being continuously studied are functional differential equations [8, 13, 19], impulsive differential equations [27], differential equations in abstract spaces [16, 26], set and multivalued differential ”
• Monotone generalized contractions in partially ordered probabilistic metric spaces (2009, unknown): “[2-37]).”
• A generalization of Hukuhara difference and division for interval and fuzzy arithmetic (2010, background): “[13] or [23]): • Any function s : Rn −→ R which is continuous (or, more generally, upper semicontinuous), positively homogeneous s(tp) = ts(p), ∀t 0, ∀p ∈ Rn and subadditive s(p′ + p′′) s(p′) + s(p′′), ∀p′, p′′ ∈ Rn is a support function of a compact convex set; the restriction ŝ of s to Sn−1 is suc”
• Fixed point theorems in partially ordered metric spaces and applications (2006, methodology): “To fully utilize the power of the present type of fixed point theorem, it is necessary to apply them to the problems of differential equations in semi-linear metric spaces, where only a partial linear structure is available, such as, for example, fuzzy and set differential equations, and discontinuo”