Initial time difference quasilinearization for Caputo Fractional Differential Equations
Yazarlar (1)
Prof. Dr. Ali YAKAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
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| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Advances in Difference Equations |
| Dergi ISSN | 1687-1839 |
| Dergi Tarandığı Indeksler | SCI |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2012 |
| Cilt No | 2012 |
| Sayı | 1 |
| Sayfalar | 92 / 0 |
| DOI Numarası | 10.1186/1687-1847-2012-92 |
| Makale Linki | http://www.advancesindifferenceequations.com/content/2012/1/92 |
| Özet |
| This paper deals with an application of the method of quasilinearization by not demanding the Hölder continuity assumption of functions involved and by choosing upper and lower solutions with initial time difference for nonlinear Caputo fractional differential equations. Thus, we construct monotone flows that are generated by solutions of linear fractional differential equations which converge uniformly and quadratically to the unique solution of the problem. Also, necessary comparison result concerning lower and upper solutions are proved without using Hölder continuity. © 2012 Yakar. |
| Anahtar Kelimeler |
| Caputo fractional differential equation | Quadratic convergence | Quasilinearization technique |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 10 |
| SCOPUS | 18 |
| Google Scholar | 24 |