Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Adomian Decomposition Method

      In this paper we shall prepare an  sacrificial solution for fuzzy differential algebraic equations of fractional order (FFDAEs) based on the Adomian decomposition method (ADM) which is proposed to solve (FFDAEs) . The blurriness will appear in the boundary conditions, to be fuzzy numbers. The...

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Main Author: Ali k. Ateeah
Format: Article
Language:English
Published: University of Baghdad 2017-09-01
Series:Ibn Al-Haitham Journal for Pure and Applied Sciences
Subjects:
Online Access:https://jih.uobaghdad.edu.iq/index.php/j/article/view/1432
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author Ali k. Ateeah
author_facet Ali k. Ateeah
author_sort Ali k. Ateeah
collection DOAJ
description       In this paper we shall prepare an  sacrificial solution for fuzzy differential algebraic equations of fractional order (FFDAEs) based on the Adomian decomposition method (ADM) which is proposed to solve (FFDAEs) . The blurriness will appear in the boundary conditions, to be fuzzy numbers. The solution of the proposed pattern of  equations is studied in the form of a convergent series with readily computable components. Several examples are resolved as  clarifications, the numerical outcomes are obvious that the followed approach is simple to perform and precise when utilized to (FFDAEs).
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spelling doaj.art-9cc2206d19db4e36a9d2ba975498e6282022-12-22T00:11:37ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-09-01214Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Adomian Decomposition MethodAli k. Ateeah       In this paper we shall prepare an  sacrificial solution for fuzzy differential algebraic equations of fractional order (FFDAEs) based on the Adomian decomposition method (ADM) which is proposed to solve (FFDAEs) . The blurriness will appear in the boundary conditions, to be fuzzy numbers. The solution of the proposed pattern of  equations is studied in the form of a convergent series with readily computable components. Several examples are resolved as  clarifications, the numerical outcomes are obvious that the followed approach is simple to perform and precise when utilized to (FFDAEs). https://jih.uobaghdad.edu.iq/index.php/j/article/view/1432fractional calculus, fuzzy set theory , fractional differential algebraic equation , Adomian decomposition method.
spellingShingle Ali k. Ateeah
Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Adomian Decomposition Method
Ibn Al-Haitham Journal for Pure and Applied Sciences
fractional calculus, fuzzy set theory , fractional differential algebraic equation , Adomian decomposition method.
title Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Adomian Decomposition Method
title_full Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Adomian Decomposition Method
title_fullStr Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Adomian Decomposition Method
title_full_unstemmed Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Adomian Decomposition Method
title_short Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Adomian Decomposition Method
title_sort approximate solution for fuzzy differential algebraic equations of fractional order using adomian decomposition method
topic fractional calculus, fuzzy set theory , fractional differential algebraic equation , Adomian decomposition method.
url https://jih.uobaghdad.edu.iq/index.php/j/article/view/1432
work_keys_str_mv AT alikateeah approximatesolutionforfuzzydifferentialalgebraicequationsoffractionalorderusingadomiandecompositionmethod