More Properties of the Proportional Fractional Integrals and Derivatives of a Function With Respect To Another Function
| dc.contributor.author | Rashid, Saima | |
| dc.contributor.author | Hammouch, Zakia | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2022-06-20T12:48:57Z | |
| dc.date.accessioned | 2025-09-18T14:09:17Z | |
| dc.date.available | 2022-06-20T12:48:57Z | |
| dc.date.available | 2025-09-18T14:09:17Z | |
| dc.date.issued | 2020 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Hammouch, Zakia/0000-0001-7349-6922 | en_US |
| dc.description.abstract | In this article, we present some new properties of the fractional proportional derivatives of a function with respect to a certain function. We use a modified Laplace transform to find the relation between the derivatives in the Riemann-Liouville setting and the one in Caputo. In addition, we provide an integration by parts formulas related to the considered operators. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The second 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.identifier.citation | Jarad, Fahd...et al. (2020). "More properties of the proportional fractional integrals and derivatives of a function with respect to another function", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02767-x | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85086571042 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02767-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13343 | |
| 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 | General Proportional Integrals | en_US |
| dc.subject | General Proportional Derivatives | en_US |
| dc.subject | General Caputo Proportional Derivative | en_US |
| dc.title | More Properties of the Proportional Fractional Integrals and Derivatives of a Function With Respect To Another Function | en_US |
| dc.title | More properties of the proportional fractional integrals and derivatives of a function with respect to another function | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.id | Hammouch, Zakia/0000-0001-7349-6922 | |
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| gdc.author.wosid | Rashid, Saima/Aaf-7976-2021 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Hammouch, Zakia/D-3532-2011 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Rashid, Saima] Govt Coll Univ, Dept Math, Faisalabad, Pakistan; [Hammouch, Zakia] Univ Moulay Ismail, FST Errachidia, Dept Math, Equipe E3MI, Errachidia, Morocco | en_US |
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| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | General proportional derivatives | |
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