Homotopy Analysis Method for the First Order Fuzzy Volterra-Fredholm Integro-differential Equations

A fuzzy Volterra-Fredholm integro-differential equation (FVFIDE) in a parametric case is converted to its related crisp case.  We use homotopy analysis method to find the approximate solution of this system and hence obtain an approximation for the fuzzy solution of the  FVFIDE. This paper discusses...

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Main Authors: A. Hamoud, Ahmed (Author), P. Ghadle, Kirtiwant (Author)
Format: EJournal Article
Published: Institute of Advanced Engineering and Science, 2018-09-01.
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042 |a dc 
100 1 0 |a A. Hamoud, Ahmed  |e author 
100 1 0 |e contributor 
700 1 0 |a P. Ghadle, Kirtiwant  |e author 
245 0 0 |a Homotopy Analysis Method for the First Order Fuzzy Volterra-Fredholm Integro-differential Equations 
260 |b Institute of Advanced Engineering and Science,   |c 2018-09-01. 
500 |a https://ijeecs.iaescore.com/index.php/IJEECS/article/view/12985 
520 |a A fuzzy Volterra-Fredholm integro-differential equation (FVFIDE) in a parametric case is converted to its related crisp case.  We use homotopy analysis method to find the approximate solution of this system and hence obtain an approximation for the fuzzy solution of the  FVFIDE. This paper discusses existence and uniqueness results and convergence of the proposed method. 
540 |a Copyright (c) 2018 Institute of Advanced Engineering and Science 
540 |a http://creativecommons.org/licenses/by-nc/4.0 
546 |a eng 
690
690 |a Homotopy analysis method, fuzzy Volterra-Fredholm integro-differential equation, existence and uniqueness results. 
655 7 |a info:eu-repo/semantics/article  |2 local 
655 7 |a info:eu-repo/semantics/publishedVersion  |2 local 
655 7 |2 local 
786 0 |n Indonesian Journal of Electrical Engineering and Computer Science; Vol 11, No 3: September 2018; 857-867 
786 0 |n 2502-4760 
786 0 |n 2502-4752 
786 0 |n 10.11591/ijeecs.v11.i3 
787 0 |n https://ijeecs.iaescore.com/index.php/IJEECS/article/view/12985/12024 
856 4 1 |u https://ijeecs.iaescore.com/index.php/IJEECS/article/view/12985/12024  |z Get fulltext