Comparison principles for a class of general integro-differential inequalities with applications
| dc.contributor.author | Al-Refai, Mohammed | |
| dc.contributor.author | Fernandez, Arran | |
| dc.date.accessioned | 2026-02-06T18:36:05Z | |
| dc.date.issued | 2024 | |
| dc.department | Doğu Akdeniz Üniversitesi | |
| dc.description.abstract | Comparison principles for fractional differential equations have been investigated in many papers using different types of fractional integral and derivative operators. We here prove the strongest such results so far, for a very broad class of operators that is even more general than those with Sonine kernels. Starting from inequalities valid at global extrema, we obtain comparison principles for these general operators, which are applied to prove bounds on solutions to related integro-differential equations. Many results in the literature will be considered as particular cases of the current study. | |
| dc.description.sponsorship | Eastern Mediterranean University | |
| dc.description.sponsorship | No Statement Available | |
| dc.identifier.doi | 10.1007/s40314-023-02538-w | |
| dc.identifier.issn | 2238-3603 | |
| dc.identifier.issn | 1807-0302 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85186119985 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1007/s40314-023-02538-w | |
| dc.identifier.uri | https://hdl.handle.net/11129/12186 | |
| dc.identifier.volume | 43 | |
| dc.identifier.wos | WOS:001169339500002 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Springer Heidelberg | |
| dc.relation.ispartof | Computational & Applied Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_WoS_20260204 | |
| dc.subject | Fractional differential equations | |
| dc.subject | Comparison principles | |
| dc.subject | Fractional differential inequalities | |
| dc.subject | Qualitative properties of solutions | |
| dc.subject | General kernel functions | |
| dc.title | Comparison principles for a class of general integro-differential inequalities with applications | |
| dc.type | Article |










