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On a New Fixed Point Theorem With an Application on a Coupled System of Fractional Differential Equations

dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Afshari, Hojjat
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2020-12-24T12:04:47Z
dc.date.accessioned 2025-09-18T12:09:21Z
dc.date.available 2020-12-24T12:04:47Z
dc.date.available 2025-09-18T12:09:21Z
dc.date.issued 2020
dc.description Abdeljawad, Thabet/0000-0002-8889-3768; Afshari, Hojat/0000-0003-1149-4336 en_US
dc.description.abstract In this work, new theorems and results related to fixed point theory are presented. The results obtained are used for the sake of proving the existence and uniqueness of a positive solution of a coupled system of equations that involves fractional derivatives in the Riemann-Liouville settings and is subject to boundary conditions in the form of integrals. en_US
dc.description.sponsorship Prince Sultan University [RG-DES-2017-01-17] en_US
dc.description.sponsorship The third author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. en_US
dc.description.sponsorship Prince Sultan University, PSU
dc.identifier.citation Afshari, Hojjat; Jarad, Fahd; Abdeljawad, Thabet (2020). "On a new fixed point theorem with an application on a coupled system of fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1. en_US
dc.identifier.doi 10.1186/s13662-020-02926-0
dc.identifier.issn 1687-1847
dc.identifier.issn 1687-1839
dc.identifier.scopus 2-s2.0-85090244371
dc.identifier.uri https://doi.org/10.1186/s13662-020-02926-0
dc.identifier.uri https://hdl.handle.net/20.500.12416/11359
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof Advances in Difference Equations
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Fractional Differential Equation en_US
dc.subject Common Fixed Point en_US
dc.subject <Mml:Msub>Rho</Mml:Msub>-Admissible en_US
dc.subject Coupled System en_US
dc.subject Rho-admissible
dc.subject Ρ<sub>∗</sub>-admissible
dc.title On a New Fixed Point Theorem With an Application on a Coupled System of Fractional Differential Equations en_US
dc.title On a new fixed point theorem with an application on a coupled system of fractional differential equations tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Abdeljawad, Thabet/0000-0002-8889-3768
gdc.author.id Afshari, Hojat/0000-0003-1149-4336
gdc.author.scopusid 56985762500
gdc.author.scopusid 15622742900
gdc.author.scopusid 6508051762
gdc.author.wosid Jarad, Fahd/T-8333-2018
gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
gdc.author.yokid 234808
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Afshari, Hojjat] Univ Bonab, Fac Basic Sci, Dept Math, Bonab, Iran; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Etimesgut, Turkey; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2020 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords Common fixed point
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Fixed Point Theorems in Metric Spaces
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Coupled system
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Schauder fixed point theorem
gdc.oaire.keywords Fixed-point theorem
gdc.oaire.keywords Boundary value problem
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Fixed Point Theorems
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Partial differential equation
gdc.oaire.keywords Fixed point
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Fractional differential equation
gdc.oaire.keywords Picard–Lindelöf theorem
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Geometry and Topology
gdc.oaire.keywords Uniqueness
gdc.oaire.keywords ρ ∗ $\rho _{*}$ -admissible
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords Positive solutions to nonlinear boundary value problems for ordinary differential equations
gdc.oaire.keywords coupled system
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords fractional differential equation
gdc.oaire.keywords Applications of operator theory to differential and integral equations
gdc.oaire.keywords common fixed point
gdc.oaire.keywords \(\rho_\ast\)-admissible
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gdc.opencitations.count 6
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gdc.publishedmonth 9
gdc.scopus.citedcount 13
gdc.virtual.author Abdeljawad, Thabet
gdc.virtual.author Jarad, Fahd
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