Existence of Positive Solutions for Weighted Fractional Order Differential Equations
| dc.contributor.author | Ali, Saeed M. | |
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdo, Mohammed S. | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2022-04-21T13:48:14Z | |
| dc.date.accessioned | 2025-09-18T12:09:13Z | |
| dc.date.available | 2022-04-21T13:48:14Z | |
| dc.date.available | 2025-09-18T12:09:13Z | |
| dc.date.issued | 2020 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Shah, Kamal/0000-0002-8851-4844; Abdo, Mohammed S./0000-0001-9085-324X | en_US |
| dc.description.abstract | In this paper, we deliberate two classes of initial value problems for nonlinear fractional differential equations under a version weighted generalized of Caputo fractional derivative given by Jarad et al. (2020a) [25]. We get a formula for the solution through the equivalent fractional integral equations to the proposed problems. The existence and uniqueness of positive solutions have been obtained by using lower and upper solutions. The acquired results are demonstrated by building the upper and lower control functions of the nonlinear term with the aid of Banach and Schauder fixed point theorems. The acquired results are demonstrated by pertinent numerical examples along with the Bashforth Moulton prediction correction scheme and Matlab. (C) 2020 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.citation | Abdo, Mohammed S...et al. (2020). "Existence of positive solutions for weighted fractional order differential equations", Chaos, Solitons and Fractals, Vol. 141. | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2020.110341 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85092478637 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2020.110341 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11352 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Differential Equation | en_US |
| dc.subject | Psi-Weighted Caputo Operator | en_US |
| dc.subject | Control Functions | en_US |
| dc.subject | Lower And Upper Solutions | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.title | Existence of Positive Solutions for Weighted Fractional Order Differential Equations | en_US |
| dc.title | Existence of positive solutions for weighted fractional order differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
| gdc.author.id | Abdo, Mohammed S./0000-0001-9085-324X | |
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| gdc.author.scopusid | 56708052700 | |
| gdc.author.scopusid | 15622742900 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdo, Mohammed/Aaf-6594-2019 | |
| gdc.author.wosid | Ali, Saeed/Aav-6770-2021 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdo, Mohammed S.] Hodeidah Univ, Dept Math, Al Hodeidah, Yemen; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Rafha St, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Ali, Saeed M.] Imam Abdulrahman Bin Faisal Univ, Coll Engn, Dept Basic Engn Sci, POB 1982, Dammam, Saudi Arabia; [Shah, Kamal] Univ Malakand, Dept Math, Khyber Pakhtunkhawa, Pakistan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 110341 | |
| gdc.description.volume | 141 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | control functions | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | lower and upper solutions | |
| gdc.oaire.keywords | fractional differential equation | |
| gdc.oaire.keywords | fixed point theorem | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Positive solutions to nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | \(\psi\)-weighted Caputo operator | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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