Comparison Principles of Fractional Differential Equations With Non-Local Derivative and Their Applications
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Al-Refai, Mohammed | |
| dc.date.accessioned | 2022-03-24T12:06:32Z | |
| dc.date.accessioned | 2025-09-18T13:28:06Z | |
| dc.date.available | 2022-03-24T12:06:32Z | |
| dc.date.available | 2025-09-18T13:28:06Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this paper, we derive and prove a maximum principle for a linear fractional differential equation with non-local fractional derivative. The proof is based on an estimate of the non-local derivative of a function at its extreme points. A priori norm estimate and a uniqueness result are obtained for a linear fractional boundary value problem, as well as a uniqueness result for a nonlinear fractional boundary value problem. Several comparison principles are also obtained for linear and nonlinear equations. | en_US |
| dc.identifier.citation | Al-Refai, Mohammed; Baleanu, Dumitru (2021). "Comparison principles of fractional differential equations with non-local derivative and their applications", AIMS Mathematics, Vol. 6, No. 2, pp. 1443-1451. | en_US |
| dc.identifier.doi | 10.3934/math.2021088 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85107751015 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2021088 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13147 | |
| 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 | Fractional Differential Equations | en_US |
| dc.subject | Maximum Principle | en_US |
| dc.subject | Fractional Derivatives | en_US |
| dc.title | Comparison Principles of Fractional Differential Equations With Non-Local Derivative and Their Applications | en_US |
| dc.title | Comparison principles of fractional differential equations with non-local derivative and their applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Al-Refai, Mohammed] Yarmouk Univ, Dept Math Sci, Irbid, Jordan; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Angara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 1451 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1443 | en_US |
| gdc.description.volume | 6 | en_US |
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| gdc.oaire.keywords | Financial economics | |
| gdc.oaire.keywords | fractional derivatives | |
| gdc.oaire.keywords | Fractional Differential Equations | |
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| gdc.oaire.keywords | A priori estimate | |
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| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | QA1-939 | |
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| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
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