On Hilfer Generalized Proportional Fractional Derivative
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Borisut, Piyachat | |
| dc.contributor.author | Jirakitpuwapat, Wachirapong | |
| dc.contributor.author | Ahmed, Idris | |
| dc.date.accessioned | 2022-10-11T11:47:44Z | |
| dc.date.accessioned | 2025-09-18T13:26:14Z | |
| dc.date.available | 2022-10-11T11:47:44Z | |
| dc.date.available | 2025-09-18T13:26:14Z | |
| dc.date.issued | 2020 | |
| dc.description | Jirakitpuwapat, Wachirapong/0000-0002-5160-0036; Jirakitpuwapat, Wachirapong/0009-0008-6318-3832; Kumam, Poom/0000-0002-5463-4581 | en_US |
| dc.description.abstract | Motivated by the Hilfer and the Hilfer-Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann-Liouville and Caputo generalized proportional fractional derivative. Some important properties of the proposed derivative are presented. Based on the proposed derivative, we consider a nonlinear fractional differential equation with nonlocal initial condition and show that this equation is equivalent to the Volterra integral equation. In addition, the existence and uniqueness of solutions are proven using fixed point theorems. Furthermore, we offer two examples to clarify the results. | en_US |
| dc.description.sponsorship | Petchra Pra Jom Klao Doctoral Scholarship for Ph.D. program of King Mongkut's University of Technology Thonburi (KMUTT); The Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT | en_US |
| dc.description.sponsorship | Petchra Pra Jom Klao Doctoral Scholarship for Ph.D. program of King Mongkut's University of Technology Thonburi (KMUTT). The Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT. | en_US |
| dc.identifier.citation | Ahmed, Idris...et al. (2020). "On Hilfer generalized proportional fractional derivative", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02792-w | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85087311179 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02792-w | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12549 | |
| 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 | Existence | en_US |
| dc.subject | Proportional Fractional Derivative | en_US |
| dc.subject | Fixed Point Theorems | en_US |
| dc.subject | Nonlocal Condition | en_US |
| dc.subject | Volterra Integral Equation | en_US |
| dc.subject | 26A33 | en_US |
| dc.subject | 34A12 | en_US |
| dc.subject | 34A43 | en_US |
| dc.subject | 34D20 | en_US |
| dc.title | On Hilfer Generalized Proportional Fractional Derivative | en_US |
| dc.title | On Hilfer generalized proportional fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jirakitpuwapat, Wachirapong/0000-0002-5160-0036 | |
| gdc.author.id | Jirakitpuwapat, Wachirapong/0009-0008-6318-3832 | |
| gdc.author.id | Kumam, Poom/0000-0002-5463-4581 | |
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| gdc.author.wosid | Jirakitpuwapat, Wachirapong/Jwp-9980-2024 | |
| gdc.author.wosid | Ahmed, Idris/Aai-5264-2020 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ahmed, Idris; Kumam, Poom; Borisut, Piyachat; Jirakitpuwapat, Wachirapong] King Mongkuts Univ Technol Thonburi KMUTT, KMUTT Fixed Point Theory & Applicat Res Grp KUMTT, Dept Math, KMUTTFixed Point Res Lab,Fac Sci, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand; [Kumam, Poom] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Ahmed, Idris] Sule Lamido Univ, Dept Math & Comp Sci, PMB 048, Kafin Hausa, Jigawa State, Nigeria; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
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