On the interval differential equation: novel solution methodology

In this study, by a parametric representation of interval numbers, two parametric representations for interval-valued functions are presented. Then, using these representations, the calculus of interval-valued functions and interval differential equations are investigated with two different approach...

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Bibliographic Details
Published in:Advances in difference equations 2015-10, Vol.2015 (1), p.1-23, Article 338
Main Authors: Ramezanadeh, Mohadeseh, Heidari, Mohammad, Fard, Omid Solaymani, Borzabadi, Akbar Hashemi
Format: Article
Language:English
Subjects:
Analysis
Calculus
Crisps
Difference and Functional Equations
Difference equations
Differential equations
Functional Analysis
Intervals
Mathematical analysis
Mathematics
Mathematics and Statistics
Methodology
Ordinary Differential Equations
Partial Differential Equations
Representations
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Summary:In this study, by a parametric representation of interval numbers, two parametric representations for interval-valued functions are presented. Then, using these representations, the calculus of interval-valued functions and interval differential equations are investigated with two different approaches. In the first approach, the interval differential is transformed into a crisp problem. In the second approach, two solutions are obtained with the characterization of the solutions of two ordinary differential equation systems.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-015-0671-8