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Stability criteria for volterra type linear nabla fractional difference equations   
Yazarlar
Dr. Öğr. Üyesi Murat GEVGEŞOĞLU
Kastamonu Üniversitesi, Türkiye
Prof. Dr. Yaşar BOLAT
Kastamonu Üniversitesi, Türkiye
Özet
In this study, we give some necessary and sufficient conditions on the stability for Volterra type linear nabla fractional difference equations of the form ∇-1vx(t)=λx(t),t∈ N1, with initial condition ∇-1v-1x(t)|t=0=x0.For this, first of all we show that the above equation is a convolution-type Volterra equation, then give the stability conditions by using the stability analysis methods of the convolution type Volterra equations. Also we give some examples to illustrate our theoretic results.
Anahtar Kelimeler
Nabla fractional difference equations | Stability | Volterra difference equations
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Journal of Applied Mathematics and Computing
Dergi ISSN 1598-5865
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 01-2022
Cilt No 68
Sayı 6
Sayfalar 1 / 11
Doi Numarası 10.1007/s12190-021-01696-6