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On Defining the Distributions Δ<sup>r</Sup> and (δ′)<sup>r</Sup> by Conformable Derivatives

dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Jarad, Fahd
dc.contributor.author Adjabi, Yassine
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2019-12-20T12:35:55Z
dc.date.accessioned 2025-09-18T15:44:19Z
dc.date.available 2019-12-20T12:35:55Z
dc.date.available 2025-09-18T15:44:19Z
dc.date.issued 2018
dc.description Jarad, Fahd/0000-0002-3303-0623 en_US
dc.description.abstract In this paper, starting from a fixed delta-sequence, we use the generalized Taylor's formula based on conformable derivatives and the neutrix limit to find the powers of the Dirac delta function delta(r) and (delta')(r) for any r is an element of R. en_US
dc.description.sponsorship Prince Sultan University through the research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) [RG-DES-2017-01-17] en_US
dc.description.sponsorship The fourth author would like to thank Prince Sultan University for funding this work through the research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM), group number RG-DES-2017-01-17. en_US
dc.identifier.citation Jarad, Fahd...et al. (2018). On defining the distributions delta(r) and (delta ')(r) by conformable derivatives, Advances in Difference Equations. en_US
dc.identifier.doi 10.1186/s13662-018-1865-7
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85056084206
dc.identifier.uri https://doi.org/10.1186/s13662-018-1865-7
dc.identifier.uri https://hdl.handle.net/20.500.12416/14254
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 Conformable Derivative en_US
dc.subject Distribution en_US
dc.subject Generalized Functions en_US
dc.subject Dirac Delta Function en_US
dc.subject Delta Sequence en_US
dc.subject Galapon Property en_US
dc.subject Generalized Taylor'S Formula en_US
dc.subject Neutrix en_US
dc.subject Neutrix Limit en_US
dc.title On Defining the Distributions Δ<sup>r</Sup> and (δ′)<sup>r</Sup> by Conformable Derivatives en_US
dc.title On defining the distributions delta(r) and (delta ')(r) by conformable derivatives tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Jarad, Fahd/0000-0002-3303-0623
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gdc.author.wosid Yacine, Adjabi/Aag-4747-2020
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Jarad, Fahd/T-8333-2018
gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Jarad, Fahd; Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Adjabi, Yassine] Univ Mhamed Bougara, Dept Math, Boumerdes, Algeria; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2018
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gdc.oaire.keywords Delta sequence
gdc.oaire.keywords Astronomy
gdc.oaire.keywords Dirac delta function
gdc.oaire.keywords Applications of Generalized Functions in Mathematics and Physics
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gdc.oaire.keywords Conformable matrix
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gdc.oaire.keywords Galapon property
gdc.oaire.keywords Convergence Analysis of Iterative Methods for Nonlinear Equations
gdc.oaire.keywords Conformable derivative
gdc.oaire.keywords Differential equation
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gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
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gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Particle physics
gdc.oaire.keywords Partial differential equation
gdc.oaire.keywords Limit (mathematics)
gdc.oaire.keywords Dirac (video compression format)
gdc.oaire.keywords Chemistry
gdc.oaire.keywords Generalized Functions
gdc.oaire.keywords Delta
gdc.oaire.keywords Combinatorics
gdc.oaire.keywords Function (biology)
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gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
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gdc.publishedmonth 11
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gdc.virtual.author Abdeljawad, Thabet
gdc.virtual.author Jarad, Fahd
gdc.virtual.author Baleanu, Dumitru
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