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Applying New Fixed Point Theorems on Fractional and Ordinary Differential Equations

dc.contributor.author Karapinar, Erdal
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2019-12-25T11:38:51Z
dc.date.accessioned 2025-09-18T12:47:20Z
dc.date.available 2019-12-25T11:38:51Z
dc.date.available 2025-09-18T12:47:20Z
dc.date.issued 2019
dc.description.abstract In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results on the existence of solution of ordinary boundary value problems and fractional boundary value problems with integral type boundary conditions in the frame of some Caputo type fractional operators. en_US
dc.description.sponsorship Prince Sultan University [RG-DES-2017-01-17] en_US
dc.description.sponsorship The second author (T. Abdeljawad) 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.identifier.citation Karapınar, Erdal; Abdeljawad, Thabet; Jarad, Fahd, "Applying new fixed point theorems on fractional and ordinary differential equations", Advances in Difference Equations, Vol. 2019, No. 1, (October 2019). en_US
dc.identifier.doi 10.1186/s13662-019-2354-3
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85073378410
dc.identifier.uri https://doi.org/10.1186/s13662-019-2354-3
dc.identifier.uri https://hdl.handle.net/20.500.12416/11773
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 Equations en_US
dc.subject Ode en_US
dc.subject Generalized Alpha-H-Upsilon-Contractions en_US
dc.subject Weakly Contractive Mappings en_US
dc.title Applying New Fixed Point Theorems on Fractional and Ordinary Differential Equations en_US
dc.title Applying new fixed point theorems on fractional and ordinary differential equations tr_TR
dc.type Article en_US
dspace.entity.type Publication
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gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
gdc.author.wosid Karapinar, Erdal/H-3177-2011
gdc.author.wosid Jarad, Fahd/T-8333-2018
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Karapinar, Erdal] China Med Univ, Dept Med Res, Taichung, Taiwan; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2019 en_US
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gdc.oaire.keywords Fractional differential equations
gdc.oaire.keywords ODE
gdc.oaire.keywords Fractional Differential Equations
gdc.oaire.keywords Generalized α-h-ϑ-contractions
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 QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Fixed-point theorem
gdc.oaire.keywords Functional Differential Equations
gdc.oaire.keywords Boundary value problem
gdc.oaire.keywords Biology
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Ecology
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 Computer science
gdc.oaire.keywords Weakly contractive mappings
gdc.oaire.keywords Fractional Derivatives
gdc.oaire.keywords Boundary Value Problems
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gdc.oaire.keywords Geometry and Topology
gdc.oaire.keywords Type (biology)
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Frame (networking)
gdc.oaire.keywords contractions
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords weakly contractive mappings
gdc.oaire.keywords Special maps on metric spaces
gdc.oaire.keywords Fixed-point and coincidence theorems (topological aspects)
gdc.oaire.keywords fractional differential equations
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gdc.opencitations.count 74
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gdc.publishedmonth 10
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gdc.virtual.author Karapınar, Erdal
gdc.virtual.author Abdeljawad, Thabet
gdc.virtual.author Jarad, Fahd
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