Solvability of fractional boundary value problems for a combined caputo derivative
| dc.contributor.author | Toprakseven, Şuayip | |
| dc.date.accessioned | 2025-07-10T10:34:09Z | |
| dc.date.available | 2025-07-10T10:34:09Z | |
| dc.date.issued | 2021 | |
| dc.department | AÇÜ, Artvin Meslek Yüksekokulu, Muhasebe ve Vergi Uygulamaları Bölümü | |
| dc.description.abstract | This paper deals with a class of boundary value problems of fractional differential equations involving the combined Caputo derivative, which can reflect both the past and the future nonlocal memory effects. This fractional derivative is a convex combination of the left and right Caputo fractional derivative of different order. By using the fractional Gronwall-type inequalities and some fixed point theorems, we have established some sufficient conditions for the existence and uniqueness of solutions for fractional boundary value problems with the combined Caputo fractional derivative. Various examples are given to illustrate the applications of the results. | |
| dc.identifier.endpage | 126 | |
| dc.identifier.issn | 2147625X | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | s2.0-85158156757 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 119 | |
| dc.identifier.uri | https://hdl.handle.net/11494/5734 | |
| dc.identifier.volume | 9 | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Toprakseven, Şuayip | |
| dc.language.iso | en | |
| dc.publisher | Prof. Dr. Mehmet Zeki SARIKAYA | |
| dc.relation.ispartof | Konuralp Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Combined Caputo derivative | |
| dc.subject | Existence | |
| dc.subject | Fixed point | |
| dc.title | Solvability of fractional boundary value problems for a combined caputo derivative | |
| dc.type | Article |
