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On Approximate Solutions for Two Higher-Order Caputo-Fabrizio Fractional Integro-Differential Equations

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Mousalou, Asef
dc.contributor.author Rezapour, Shahram
dc.contributor.author Aydogan, S. Melike
dc.date.accessioned 2019-12-16T13:27:59Z
dc.date.accessioned 2025-09-18T14:09:25Z
dc.date.available 2019-12-16T13:27:59Z
dc.date.available 2025-09-18T14:09:25Z
dc.date.issued 2017
dc.description Aydogan, Melike/0000-0002-4822-9571 en_US
dc.description.abstract We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations. Also, we discuss two illustrative examples to confirm the reported results. In this way one gets the possibility of utilizing some continuous or discontinuous mappings as coefficients in the fractional differential equations of higher order. en_US
dc.description.sponsorship Azarbaijan Shahid Madani University en_US
dc.description.sponsorship Research of the third and fourth authors was supported by Azarbaijan Shahid Madani University. The authors express their gratitude to the referees for their helpful suggestions. en_US
dc.identifier.citation Aydogan, S...et al. (2017) On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations, Advances in Difference Equations. en_US
dc.identifier.doi 10.1186/s13662-017-1258-3
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85026913199
dc.identifier.uri https://doi.org/10.1186/s13662-017-1258-3
dc.identifier.uri https://hdl.handle.net/20.500.12416/13373
dc.language.iso en en_US
dc.publisher Springeropen en_US
dc.relation.ispartof Advances in Difference Equations
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Approximate Fixed Point en_US
dc.subject Higher-Order Fractional Differential Equation en_US
dc.subject Non-Singular Kernel en_US
dc.subject Caputo-Fabrizio Derivation en_US
dc.title On Approximate Solutions for Two Higher-Order Caputo-Fabrizio Fractional Integro-Differential Equations en_US
dc.title On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Aydogan, Melike/0000-0002-4822-9571
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gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Aydogan, S./Aax-1100-2020
gdc.author.wosid Rezapour, Shahram/N-4883-2016
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Aydogan, S. Melike] Isik Univ, Dept Math, Istanbul, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Mousalou, Asef; Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Labriz, Iran en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2017
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords System
gdc.oaire.keywords Financial economics
gdc.oaire.keywords Fractional Differential Equations
gdc.oaire.keywords Economics
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Non-singular kernel
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Numerical Methods for Singularly Perturbed Problems
gdc.oaire.keywords Caputo-Fabrizio derivation
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Differential algebraic equation
gdc.oaire.keywords Functional Differential Equations
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Order (exchange)
gdc.oaire.keywords Numerical Analysis
gdc.oaire.keywords non-singular kernel
gdc.oaire.keywords higher-order fractional differential equation
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Higher-order fractional differential equation
gdc.oaire.keywords Partial differential equation
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Approximate fixed point
gdc.oaire.keywords Fractional Derivatives
gdc.oaire.keywords Singular kernel
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Derivative (finance)
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Fractional Calculus
gdc.oaire.keywords Examples of differential equations
gdc.oaire.keywords approximate fixed point
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Finance
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords Theoretical approximation of solutions to ordinary differential equations
gdc.oaire.keywords Singular nonlinear boundary value problems for ordinary differential equations
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gdc.opencitations.count 83
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gdc.plumx.scopuscites 103
gdc.publishedmonth 8
gdc.scopus.citedcount 103
gdc.virtual.author Baleanu, Dumitru
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