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Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type
Joint Authors
Abu Arqub, Omar
Kutbi, Marwan Amin
Momani, Shaher M.
al-Mezel, Saleh Abdullah
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Existence and uniqueness theorem are the tool which makes it possible for us to conclude that there exists only one solution to a given problem which satisfies a constraint condition.
How does it work? Why is it the case? We believe it, but it would be interesting to see the main ideas behind this.
To this end, in this paper, we investigate existence, uniqueness, and other properties of solutions of a certain nonlinear fuzzy Volterra integrodifferential equation under strongly generalized differentiability.
The main tools employed in the analysis are based on the applications of the Banach fixed point theorem and a certain integral inequality with explicit estimate.
Also, some results for characterizing solution by an equivalent system of crisp Volterra integrodifferential equations are presented.
In this way, a new direction for the methods of analytic and approximate solutions is proposed.
American Psychological Association (APA)
Abu Arqub, Omar& Momani, Shaher M.& al-Mezel, Saleh Abdullah& Kutbi, Marwan Amin. 2015. Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1074851
Modern Language Association (MLA)
Abu Arqub, Omar…[et al.]. Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1074851
American Medical Association (AMA)
Abu Arqub, Omar& Momani, Shaher M.& al-Mezel, Saleh Abdullah& Kutbi, Marwan Amin. Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1074851
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074851