Existence of solution for fractional differential equations involving symmetric fuzzy numbers

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dc.contributor.authorMuhammad Sarwar
dc.contributor.authorNoor Jamal
dc.contributor.authorKamaleldin Abodayeh
dc.contributor.authorManel Hleili
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorChanon Promsakon
dc.contributor.correspondenceM. Sarwar; Department of Mathematics, Univdersity of malakand, Dir Lower, Pakistan; email: sarwarswati@gmail.com; C. Promsakon; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: chanon.p@sci.kmutnb.ac.th
dc.date.accessioned2025-03-10T07:34:20Z
dc.date.available2025-03-10T07:34:20Z
dc.date.issued2024
dc.description.abstractLinear correlated fractional fuzzy differential equations (LCFFDEs) are one of the best tools for dealing with physical problems with uncertainty. The LCFFDEs mostly do not have unique solutions, especially if the basic fuzzy number is symmetric. The LCFFDEs of symmetric basic fuzzy numbers extend to the new system by extension and produce many solutions. The existing literature does not have any criteria to ensure the existence of unique solutions to LCFFDEs. In this study, we will explore the main causes of the extension and the unavailability of unique solutions. Next, we will discuss the existence and uniqueness conditions of LCFFDEs by using the concept of metric fixed point theory. For the useability of established results, we will also provide numerical examples and discuss their unique solutions. To show the authenticity of the solutions, we will also provide 2D and 3D plots of the solutions. © 2024 the Author(s), licensee AIMS Press.
dc.identifier.citationAIMS Mathematics
dc.identifier.doi10.3934/math.2024717
dc.identifier.issn24736988
dc.identifier.scopus2-s2.0-85191287972
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4477
dc.languageEnglish
dc.publisherAmerican Institute of Mathematical Sciences
dc.rights.holderScopus
dc.subjectexistence
dc.subjectfuzzy numbers
dc.subjectnon-symmetric fuzzy numbers
dc.subjectsymmetric fuzzy numbers
dc.subjectuncertainty
dc.subjectuniqueness
dc.titleExistence of solution for fractional differential equations involving symmetric fuzzy numbers
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85191287972&doi=10.3934%2fmath.2024717&partnerID=40&md5=7a65d116cf113b92515587dee2d41c1b
oaire.citation.endPage14764
oaire.citation.issue6
oaire.citation.startPage14747
oaire.citation.volume9
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