Nonlinear Fractional Differential Equations and Their Existence Via Fixed Point Theory Concerning To Hilfer Generalized Proportional Fractional Derivative
| dc.contributor.author | Ahmad, Abdulaziz Garba | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Alsaadi, Ateq | |
| dc.contributor.author | Rashid, Saima | |
| dc.date.accessioned | 2024-01-12T12:31:42Z | |
| dc.date.accessioned | 2025-09-18T16:08:34Z | |
| dc.date.available | 2024-01-12T12:31:42Z | |
| dc.date.available | 2025-09-18T16:08:34Z | |
| dc.date.issued | 2022 | |
| dc.description | Alsaadi, Ateq/0000-0002-4545-0246; Ahmad, Abdulaziz Garba/0000-0002-2999-7751 | en_US |
| dc.description.abstract | This article adopts a class of nonlinear fractional differential equation associating Hilfer generalized proportional fractional (GPF) derivative with having boundary conditions, which amalgamates the Riemann-Liouville (RL) and Caputo-GPF derivative. Taking into consideration the weighted space continuous mappings, we first derive a corresponding integral for the specified boundary value problem. Also, we investigate the existence consequences for a certain problem with a new unified formulation considering the minimal suppositions on nonlinear mapping. Detailed developments hold in the analysis and are dependent on diverse tools involving Schauder's, Schaefer's and Kransnoselskii's fixed point theorems. Finally, we deliver two examples to check the efficiency of the proposed scheme. | en_US |
| dc.identifier.citation | Rashid, Saima;...et.al. (2023). "Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative", AIMS Mathematics, Vol.8, No.1, pp.382-403. | en_US |
| dc.identifier.doi | 10.3934/math.2023018 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85139171290 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2023018 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15103 | |
| 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 | Existence Of Solution | en_US |
| dc.subject | Hilfer Proportional Fractional Derivative | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | Fixed Point Theory | en_US |
| dc.title | Nonlinear Fractional Differential Equations and Their Existence Via Fixed Point Theory Concerning To Hilfer Generalized Proportional Fractional Derivative | en_US |
| dc.title | Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Alsaadi, Ateq/0000-0002-4545-0246 | |
| gdc.author.id | Ahmad, Abdulaziz Garba/0000-0002-2999-7751 | |
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| gdc.author.wosid | Alsaadi, Ateq/Abb-6173-2022 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Rashid, Saima/Aaf-7976-2021 | |
| gdc.author.wosid | Ahmad, Abdulaziz Garba/Aau-4569-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Rashid, Saima] Govt Coll Univ, Dept Math, Faisalabad, Pakistan; [Ahmad, Abdulaziz Garba] Natl Math Ctr, Dept Math Programme, Abuja, Nigeria; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey; [Jarad, Fahd] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Jarad, Fahd] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia; [Alsaadi, Ateq] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia | en_US |
| gdc.description.endpage | 403 | en_US |
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| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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