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On Caputo Modification of the Hadamard Fractional Derivatives

dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Gambo, Yusuf Y.
dc.contributor.author Jarad, Fahd
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-29T22:49:12Z
dc.date.accessioned 2025-09-18T12:06:49Z
dc.date.available 2020-04-29T22:49:12Z
dc.date.available 2025-09-18T12:06:49Z
dc.date.issued 2014
dc.description Abdeljawad, Thabet/0000-0002-8889-3768; Gambo, Yusuf Ya'U/0000-0002-3954-3200; Jarad, Fahd/0000-0002-3303-0623 en_US
dc.description.abstract This paper is devoted to the study of Caputo modification of the Hadamard fractional derivatives. From here and after, by Caputo-Hadamard derivative, we refer to this modified fractional derivative (Jarad et al. in Adv. Differ. Equ. 2012: 142, 2012, p. 7). We present the generalization of the fundamental theorem of fractional calculus (FTFC) in the Caputo-Hadamard setting. Also, several new related results are presented. en_US
dc.identifier.doi 10.1186/1687-1847-2014-10
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-84899642427
dc.identifier.uri https://doi.org/10.1186/1687-1847-2014-10
dc.identifier.uri https://hdl.handle.net/20.500.12416/11006
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 Caputo-Hadamard Fractional Derivatives en_US
dc.subject Fundamental Theorem Of Fractional Calculus en_US
dc.title On Caputo Modification of the Hadamard Fractional Derivatives en_US
dc.title On Caputo Modification of The Hadamard Fractional Derivatives tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Abdeljawad, Thabet/0000-0002-8889-3768
gdc.author.id Gambo, Yusuf Ya'U/0000-0002-3954-3200
gdc.author.id Jarad, Fahd/0000-0002-3303-0623
gdc.author.scopusid 56637026500
gdc.author.scopusid 15622742900
gdc.author.scopusid 7005872966
gdc.author.scopusid 6508051762
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Jarad, Fahd/T-8333-2018
gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
gdc.author.wosid Gambo, Yusuf Ya'U/B-3709-2014
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Gambo, Yusuf Y.] Northwest Univ, Dept Math, Fac Sci, Kano, Kano State, Nigeria; [Gambo, Yusuf Y.; Baleanu, Dumitru; Abdeljawad, Thabet] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06810 Ankara, Turkey; [Jarad, Fahd] Univ Turkish Aeronaut Assoc, Dept Logist Management, Fac Management, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21413, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, Bucharest 76900, Romania; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Phys Sci, Riyadh 11586, Saudi Arabia en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2014
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords Financial economics
gdc.oaire.keywords Hadamard product
gdc.oaire.keywords Fractional Differential Equations
gdc.oaire.keywords Hadamard three-circle theorem
gdc.oaire.keywords Economics
gdc.oaire.keywords Generalization
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Orthogonal Polynomials
gdc.oaire.keywords Differential equation
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Hadamard three-lines theorem
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Hadamard transform
gdc.oaire.keywords Algebra and Number Theory
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Fractional Derivatives
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Derivative (finance)
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Fractional Calculus
gdc.oaire.keywords Analysis
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Caputo-Hadamard fractional derivatives
gdc.oaire.keywords fundamental theorem of fractional calculus
gdc.oaire.keywords Fractional derivatives and integrals
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gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 168
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gdc.publishedmonth 1
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gdc.virtual.author Abdeljawad, Thabet
gdc.virtual.author Jarad, Fahd
gdc.virtual.author Baleanu, Dumitru
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