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A novel fixed point iteration process applied in solving the Caputo type fractional differential equations in Banach spaces     
Yazarlar
Godwin Amechi Okeke
Cyril Ifeanyichukwu Ugwuogor
Rubayyi Alqahtani
Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Nadiyah Hussain Alharthi
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 ∅-pseudocontractive mappings in the intermediate sense | Banach spaces | iterative process | modified Picard{Ishikawa hybrid iterative process | nonlinear Caputo type fractional differential equations
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı International Journal of Modern Physics C
Dergi ISSN 0129-1831
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili Türkçe
Basım Tarihi 05-2024
Sayı 1
Doi Numarası 10.1142/S0129183124501766
Makale Linki http://dx.doi.org/10.1142/s0129183124501766