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Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval      
Yazarlar
Abdellatif Boutiara
Maamar Benbachir
Mohammed K. A. Kaabar
Francisco Martínez
Mohammad Esmael Samei
Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
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
Fractional q-difference equation,Fractional q-derivative,Unbounded solution,Explicit iteration,Infinite interval
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Journal of Inequalities and Applications
Dergi ISSN 1025-5834
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 03-2022
Cilt No 2022
Sayı 29
Doi Numarası 10.1186/s13660-022-02764-6
Makale Linki http://dx.doi.org/10.1186/s13660-022-02764-6