Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
Yazarlar (6)
Abdellatif Boutiara Université De Ghardaia, Cezayir
Maamar Benbachir Université Blida 1, Cezayir
Mohammed K. A. Kaabar
Universiti Malaya, Malezya
Francisco Martínez Universidad Politecnica De Cartagena, İspanya
Mohammad Esmael Samei Bu-Ali Sina University, İran
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Inequalities and Applications (Q1)
Dergi ISSN 1025-5834
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 03-2022
Kabul Tarihi 07-02-2022 Yayınlanma Tarihi 03-03-2022
Cilt / Sayı / Sayfa 2022 / 1 / 29–0 DOI 10.1186/s13660-022-02764-6
Makale Linki http://dx.doi.org/10.1186/s13660-022-02764-6
UAK Araştırma Alanları
Uygulamalı Matematik
Özet
In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions’ existence for a class of nonlinear fractional q-difference equations in the context of the Riemann–Liouville fractional q-derivative on an infinite interval. The system’s solution is formulated with the help of Green’s function. A compactness criterion is established in a special space. All the obtained results of uniqueness and existence are investigated with the help of fixed-point theorems. Some essential examples are illustrated to support our main outcomes.
Anahtar Kelimeler
Explicit iteration | Fractional q-derivative | Fractional q-difference equation | Infinite interval | Unbounded solution
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 24
Scopus 28
Google Scholar 30
Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval

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