On a Langevin Equation Involving Caputo Fractional Proportional Derivatives With Respect To Another Function
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Laadjal, Zaid | |
| dc.date.accessioned | 2022-10-04T13:02:10Z | |
| dc.date.accessioned | 2025-09-18T12:05:06Z | |
| dc.date.available | 2022-10-04T13:02:10Z | |
| dc.date.available | 2025-09-18T12:05:06Z | |
| dc.date.issued | 2022 | |
| dc.description | Laadjal, Zaid/0000-0003-1627-2898 | en_US |
| dc.description.abstract | In this work, we introduce and study a class of Langevin equation with nonlocal boundary conditions governed by a Caputo fractional order proportional derivatives of an unknown function with respect to another function. The qualitative results concerning the given problem are obtained with the aid of the lower regularized incomplete Gamma function and applying the standard fixed point theorems. In order to homologate the theoretical results we obtained, we present two examples. | en_US |
| dc.identifier.citation | Laadjal, Zaid; Jarad, Fahd (2022). "On a langevin equation involving caputo fractional proportional derivatives with respect to another function", AIMS Mathematics, Vol. 7, No. 1, pp. 1273-1292. | en_US |
| dc.identifier.doi | 10.3934/math.2022075 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85117610986 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2022075 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10523 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Fractional Proportional Order Derivative With Respect To Another Function | en_US |
| dc.subject | Langevin Equation | en_US |
| dc.subject | Incomplete Gamma Function | en_US |
| dc.subject | Fixed Point Theorems | en_US |
| dc.title | On a Langevin Equation Involving Caputo Fractional Proportional Derivatives With Respect To Another Function | en_US |
| dc.title | On a langevin equation involving caputo fractional proportional derivatives with respect to another function | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Laadjal, Zaid/0000-0003-1627-2898 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Laadjal, Zaid] Abbes Laghrour Univ, Dept Math & Comp Sci, Khenchela 40004, Algeria; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Jarad, Fahd] China Med Univ, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.endpage | 1292 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1273 | en_US |
| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | incomplete gamma function | |
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| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | fixed point theorems | |
| gdc.oaire.keywords | Nonlocal Partial Differential Equations and Boundary Value Problems | |
| gdc.oaire.keywords | Fractional Derivatives | |
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