Extensions of some differential inequalities for fractional integro-differential equations via upper and lower solutions
Yazarlar (2)
Prof. Dr. Ali YAKAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
|
| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | Bulletin of the Karaganda University Mathematics Series |
| Dergi ISSN | 2518-7929 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2023 |
| Cilt No | 109 |
| Sayı | 1 |
| Sayfalar | 156 / 167 |
| DOI Numarası | 10.31489/2023M1/156-167 |
| Makale Linki | http://dx.doi.org/10.31489/2023m1/156-167 |
| Özet |
| This paper deals with some differential inequalities for generalized fractional integro-differential equations by using the technique of upper and lower solutions. The fractional differential operator is taken in Caputo’s sense and the nonlinear term divided into two parts depends on the fractional integrals of an unknown function with two different fractional orders. The results are studied by employing a variety of coupled upper and lower solutions. These theorems have some potential for extending the iterative techniques to fractional order integro-differential equations and to coupled systems of integro-differential fractional equations to obtain the existence of solutions as well as approximate solutions for the considered problem. |
| Anahtar Kelimeler |
| boundary value problem | differential inequalities | fractional differential equations | upper and lower solutions |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 1 |
| SCOPUS | 4 |
| Google Scholar | 4 |