On ?-Hilfer generalized proportional fractional operators
| dc.contributor.author | Mallah, Ishfaq | |
| dc.contributor.author | Ahmed, Idris | |
| dc.contributor.author | Akgul, Ali | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Alha, Subhash | |
| dc.date.accessioned | 2024-12-24T19:33:59Z | |
| dc.date.available | 2024-12-24T19:33:59Z | |
| dc.date.issued | 2021 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this paper, we introduce a generalized fractional operator in the setting of Hilfer fractional derivatives, the psi-Hilfer generalized proportional fractional derivative of a function with respect to another function. The proposed operator can be viewed as an interpolator between the Riemann-Liouville and Caputo generalized proportional fractional operators. The properties of the proposed operator are established under some classical and standard assumptions. As an application, we formulate a nonlinear fractional differential equation with a nonlocal initial condition and investigate its equivalence with Volterra integral equations, existence, and uniqueness of solutions. Finally, illustrative examples are given to demonstrate the theoretical results. | |
| dc.identifier.doi | 10.3934/math.2022005 | |
| dc.identifier.endpage | 102 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 82 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2022005 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/8371 | |
| dc.identifier.volume | 7 | |
| dc.identifier.wos | WOS:000705812600005 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Amer Inst Mathematical Sciences-Aims | |
| dc.relation.ispartof | Aims Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | Hilfer fractional derivative | |
| dc.subject | generalized proportional fractional derivative | |
| dc.subject | existence and uniqueness | |
| dc.subject | weighed space | |
| dc.subject | fixed point theorems | |
| dc.title | On ?-Hilfer generalized proportional fractional operators | |
| dc.type | Article |
