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ON EFFICIENT FRACTIONAL CAPUTO-TYPE SIMULTANEOUS SCHEME FOR FINDING ALL ROOTS OF POLYNOMIAL EQUATIONS WITH BIOMEDICAL ENGINEERING APPLICATIONS

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dc.contributor.authorShams, Mudassir
dc.contributor.authorKausar, Nasreen
dc.contributor.authorSamaniego, Cuauhtemoc
dc.contributor.authorAgarwal, Praveen
dc.contributor.authorAhmed, Shams Forruque
dc.contributor.authorMomani, Shaher
dc.date.accessioned2026-06-27T14:51:13Z
dc.date.issued2023
dc.description.abstractThis research paper introduces a novel fractional Caputo-type simultaneous method for finding all simple and multiple roots of polynomial equations. Without any additional polynomial and derivative evaluations using suitable correction, the order of convergence of the basic Aberth-Ehrlich simultaneous method has been increased from three to a + 3. In terms of accuracy, residual graph, computational efficiency and computation CPU time, the newly proposed families of simultaneous methods outperforms existing methods in numerical applications.en
dc.description.sponsorshipMinistry of Science and High Education of the Russia [075-15-2021-603]
dc.description.sponsorshipRUDN University Strategic Academic Leadership Program
dc.description.sponsorshipNBHM (DAE) [02011/12/2020 NHBM (R.P)/RD II/7867]
dc.description.sponsorshipMinistry of Science and High Education of the Russian Federation
dc.description.sponsorshipPeople's Friendship University of Russia [104701-2-000]
dc.description.sponsorshipCognitive strategies of the main philosophical tradition of Eurasia of the RUDN Strategic Academic Leadership Program Priority-2030
dc.description.urihttps://doi.org/10.1142/s0218348x23400753
dc.identifier.doi10.1142/s0218348x23400753
dc.identifier.eissn1793-6543
dc.identifier.issn0218-348X
dc.identifier.issue4
dc.identifier.urihttps://hdl.handle.net/20.500.14981/65568
dc.identifier.volume31
dc.identifier.wos000973653500003
dc.language.isoeng
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.relation.ispartofFRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
dc.rightsopenAccess
dc.subjectOptimal Order
dc.subjectSimultaneous Methods
dc.subjectCaputo-Type Derivative
dc.subjectError Graph
dc.subjectComputational Efficiency
dc.subjectComputer Algorithm
dc.subjectITERATION METHODS
dc.subjectZEROS
dc.subjectCONVERGENCE
dc.subjectMathematics
dc.subjectScience & Technology - Other Topics
dc.titleON EFFICIENT FRACTIONAL CAPUTO-TYPE SIMULTANEOUS SCHEME FOR FINDING ALL ROOTS OF POLYNOMIAL EQUATIONS WITH BIOMEDICAL ENGINEERING APPLICATIONS
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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