On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions

This paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space. Theorems on the existence and uniqueness of intuitionistic fuzzy solution...

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Main Authors: Bouchra Ben Amma, Said Melliani, Lalla Saadia Chadli
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/8048883
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author Bouchra Ben Amma
Said Melliani
Lalla Saadia Chadli
author_facet Bouchra Ben Amma
Said Melliani
Lalla Saadia Chadli
author_sort Bouchra Ben Amma
collection DOAJ
description This paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space. Theorems on the existence and uniqueness of intuitionistic fuzzy solutions for these problems with integral boundary conditions are established under some sufficient assumptions. Some numerical examples of applications of the main result of this work are presented.
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issn 2314-4629
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series Journal of Mathematics
spelling doaj-art-ec592f7773cf4b70add5a009997847782025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/80488838048883On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary ConditionsBouchra Ben Amma0Said Melliani1Lalla Saadia Chadli2Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, MoroccoLaboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, MoroccoThis paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space. Theorems on the existence and uniqueness of intuitionistic fuzzy solutions for these problems with integral boundary conditions are established under some sufficient assumptions. Some numerical examples of applications of the main result of this work are presented.http://dx.doi.org/10.1155/2021/8048883
spellingShingle Bouchra Ben Amma
Said Melliani
Lalla Saadia Chadli
On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions
Journal of Mathematics
title On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions
title_full On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions
title_fullStr On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions
title_full_unstemmed On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions
title_short On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions
title_sort on state dependent delay intuitionistic fuzzy partial functional differential equations with integral boundary conditions
url http://dx.doi.org/10.1155/2021/8048883
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AT saidmelliani onstatedependentdelayintuitionisticfuzzypartialfunctionaldifferentialequationswithintegralboundaryconditions
AT lallasaadiachadli onstatedependentdelayintuitionisticfuzzypartialfunctionaldifferentialequationswithintegralboundaryconditions