A novel fixed point iteration process applied in solving the Caputo type fractional differential equations in Banach spaces
Yazarlar (5)
Godwin Amechi Okeke
Federal University of Technology, Owerri, Nijerya
Federal University of Technology, Owerri, Nijerya
Cyril Ifeanyichukwu Ugwuogor
Federal University of Technology, Owerri, Nijerya
Federal University of Technology, Owerri, Nijerya
Rubayyi T. Alqahtani
Imam Mohammad Ibn Saud Islamic University, Suudi Arabistan
Imam Mohammad Ibn Saud Islamic University, Suudi Arabistan
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
W. Eltayeb Ahmed
Imam Mohammad Ibn Saud Islamic University, Suudi Arabistan
Imam Mohammad Ibn Saud Islamic University, Suudi Arabistan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | International Journal of Modern Physics C (Q3) | ||
| Dergi ISSN | 0129-1831 Dergi Bilgileri (2025) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2025 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 09-07-2024 |
| Cilt / Sayı / Sayfa | 36 / 1 / 2450176–0 | DOI | 10.1142/S0129183124501766 |
| Makale Linki | https://doi.org/10.1142/s0129183124501766 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| We introduce the modified Picard–Ishikawa hybrid iterative scheme and establish some strong convergence results for the class of asymptotically generalized -pseudocontractive mappings in the intermediate sense in Banach spaces and approximate the fixed point of this class of mappings via the newly introduced iteration scheme. We construct some numerical examples to support our results. Furthermore, we apply the Picard–Ishikawa hybrid iteration scheme in solving the nonlinear Caputo type fractional differential equations. Our results generalize, extend and unify several existing results in literature. |
| Anahtar Kelimeler |
| Asymptotically generalized φ -pseudocontractive mappings in the intermediate sense | Banach spaces | iterative process | modified Picard-Ishikawa hybrid iterative process | nonlinear Caputo type fractional differential equations |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |
| Google Scholar | 1 |