Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces

Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces

Abstract In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some fixed point results by using the definition and properties of a complex-valued fu...

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Main Authors: Humaira, Hasanen A. Hammad, Muhammad Sarwar, Manuel De la Sen
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Advances in Difference Equations
Subjects:
Complex-valued t-norm
Complex-valued fuzzy metric space
Common fixed point
Cauchy sequence
Coupled system of impulsive fractional differential equations
Online Access:https://doi.org/10.1186/s13662-021-03401-0
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spelling doaj-0ed87348b19e43dea20b6545ec819bee2021-05-09T11:40:38ZengSpringerOpenAdvances in Difference Equations1687-18472021-05-012021112610.1186/s13662-021-03401-0Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spacesHumaira0Hasanen A. Hammad1Muhammad Sarwar2Manuel De la Sen3Department of Mathematics, University of MalakandDepartment of Mathematics, Faculty of Science, Sohag UniversityDepartment of Mathematics, University of MalakandInstitute of Research and Development of Processes, University of the Basque CountryAbstract In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some fixed point results by using the definition and properties of a complex-valued fuzzy metric space is presented. Ultimately, some appropriate examples are constructed to illustrate our theoretical results.https://doi.org/10.1186/s13662-021-03401-0Complex-valued t-normComplex-valued fuzzy metric spaceCommon fixed pointCauchy sequenceCoupled system of impulsive fractional differential equations
collection DOAJ
language English
format Article
sources DOAJ
author Humaira
Hasanen A. Hammad
Muhammad Sarwar
Manuel De la Sen
spellingShingle Humaira
Hasanen A. Hammad
Muhammad Sarwar
Manuel De la Sen
Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
Advances in Difference Equations
Complex-valued t-norm
Complex-valued fuzzy metric space
Common fixed point
Cauchy sequence
Coupled system of impulsive fractional differential equations
author_facet Humaira
Hasanen A. Hammad
Muhammad Sarwar
Manuel De la Sen
author_sort Humaira
title Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
title_short Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
title_full Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
title_fullStr Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
title_full_unstemmed Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
title_sort existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-05-01
description Abstract In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some fixed point results by using the definition and properties of a complex-valued fuzzy metric space is presented. Ultimately, some appropriate examples are constructed to illustrate our theoretical results.
topic Complex-valued t-norm
Complex-valued fuzzy metric space
Common fixed point
Cauchy sequence
Coupled system of impulsive fractional differential equations
url https://doi.org/10.1186/s13662-021-03401-0
work_keys_str_mv AT humaira existencetheoremforauniquesolutiontoacoupledsystemofimpulsivefractionaldifferentialequationsincomplexvaluedfuzzymetricspaces
AT hasanenahammad existencetheoremforauniquesolutiontoacoupledsystemofimpulsivefractionaldifferentialequationsincomplexvaluedfuzzymetricspaces
AT muhammadsarwar existencetheoremforauniquesolutiontoacoupledsystemofimpulsivefractionaldifferentialequationsincomplexvaluedfuzzymetricspaces
AT manueldelasen existencetheoremforauniquesolutiontoacoupledsystemofimpulsivefractionaldifferentialequationsincomplexvaluedfuzzymetricspaces
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