Existence and simulation of solutions for a class of fractional differential systems with p-Laplacian operators on star graphs

Existence and simulation of solutions for a class of fractional differential systems with p-Laplacian operators on star graphs | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Existence and simulation of solutions for a class of fractional differential systems with p-Laplacian operators on star graphs Yuanyuan Zhang, Youhui Su, Yongzhen Yun This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4339907/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper is mainly concerned with the existence and simulation of solutions for a class of Caputofractional differential systems with $p$-Laplacian operators on star graphs. The Hyers-Ulam stability of the systems on star graphsis also proved. Furthermore, an example on a formaldehyde graph is presented to demonstrate the practicality of the main results. The innovation of this paper lies in combining a fractional differential system with a formaldehyde graph, interpreting the chemical bonds as the edges of the graph, and exploring the existence and numerical simulation of solutions to the fractional differential system on this unique graph structure. MSC(2020): 34A08 , 34B15 , 34K37. Fractional differential systems p-Laplacian operator star graphs existence Hyers-Ulam stability Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4339907","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":297086702,"identity":"b534a05d-f022-45bb-a7c2-c0de1e27a7ce","order_by":0,"name":"Yuanyuan Zhang","email":"","orcid":"","institution":"Shenyang University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yuanyuan","middleName":"","lastName":"Zhang","suffix":""},{"id":297086707,"identity":"315ca136-4a67-4429-8be3-bfddf4b07513","order_by":1,"name":"Youhui Su","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAuElEQVRIiWNgGAWjYHACNoaEChsefv4GUrR8OJMmIznjAAlaGGe2HbYxaEggUr38jByzxzxs53kMGA4wfviYQ4QWgxs55sY8PLd5zJkbmCVnbiNGi0SOmTSPxG0ey4YDbMy8xGgBOUyax+Acj8GBBCK1MNzIMZOckXCABC0GZ56VSXw4kMwjOeNgM3F+kW9P3iaR+M/Onp+/+eCHj0Q5jIHDAMpgbCBKPRCwPyBW5SgYBaNgFIxUAABnSTO+dCYmjQAAAABJRU5ErkJggg==","orcid":"","institution":"Xuzhou University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Youhui","middleName":"","lastName":"Su","suffix":""},{"id":297086711,"identity":"7baf974c-b76e-47c0-9d6b-c2b429fdf42a","order_by":2,"name":"Yongzhen Yun","email":"","orcid":"","institution":"Xuzhou University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yongzhen","middleName":"","lastName":"Yun","suffix":""}],"badges":[],"createdAt":"2024-04-29 03:10:46","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4339907/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4339907/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":55780959,"identity":"6a412975-8c35-4496-b4f4-467bfab689da","added_by":"auto","created_at":"2024-05-03 04:50:21","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":482516,"visible":true,"origin":"","legend":"","description":"","filename":"snarticle.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4339907/v1_covered_8217930b-9174-4f13-90cb-cfb98365d0b5.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Existence and simulation of solutions for a class of fractional differential systems with p-Laplacian operators on star graphs","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Fractional differential systems, p-Laplacian operator, star graphs, existence, Hyers-Ulam stability","lastPublishedDoi":"10.21203/rs.3.rs-4339907/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4339907/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper is mainly concerned with the existence and simulation of solutions for a class of Caputofractional differential systems with $p$-Laplacian operators on star graphs. The \u0026nbsp;Hyers-Ulam stability of the systems on star graphsis \u0026nbsp;also proved. Furthermore, an example on a formaldehyde graph is presented to demonstrate the practicality of the main results. The innovation of this paper lies in combining a fractional differential system with a formaldehyde graph, interpreting the chemical bonds as the edges of the graph, and exploring the existence and numerical simulation of solutions to the fractional differential system on this unique graph structure.\u003c/p\u003e\n\u003cp\u003eMSC(2020): 34A08 , 34B15 , 34K37.\u003c/p\u003e","manuscriptTitle":"Existence and simulation of solutions for a class of fractional differential systems with p-Laplacian operators on star graphs","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-05-03 04:26:10","doi":"10.21203/rs.3.rs-4339907/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"c7c21b0d-5f84-4159-a077-c57664b57461","owner":[],"postedDate":"May 3rd, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-05-07T08:53:14+00:00","versionOfRecord":[],"versionCreatedAt":"2024-05-03 04:26:10","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4339907","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4339907","identity":"rs-4339907","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}