Stability analysis for a class of nabla (q,h)(q,h)(q,h)-fractional difference equations

Xiang LIU; Baoguo JIA; Lynn ERBE; Allan PETERSON

Makale detayları

Stability analysis for a class of nabla (q,h)(q,h)(q,h)-fractional difference equations

Yazarlar:

Xiang LIU | Baoguo JIA | Lynn ERBE | Allan PETERSON

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.664-687

Belge Tipi:

Makale

Yayın Tarihi:

3/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745641

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

This paper investigates stability of the nabla (q,h)(q,h)(q,h)-fractional difference equations.  Asymptotic stability of the special nabla (q,h)(q,h)(q,h)-fractional difference equations  are discussed.  Stability theorems for discrete fractional Lyapunov direct method are proved.  Furthermore, we give some new lemmas (including important comparison  theorems) related to the nabla (q,h)(q,h)(q,h)-fractional difference operators  that allow proving the stability  of the nabla (q,h)(q,h)(q,h)-fractional difference equations, by means of the discrete fractional Lyapunov  direct method, using Lyapunov functions. Some examples are given to illustrate these results.

Makale detayları

Stability analysis for a class of nabla (q,h)(q,h)(q,h)-fractional difference equations

Yazarlar: Xiang LIU | Baoguo JIA | Lynn ERBE | Allan PETERSON

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.664-687

Belge Tipi: Makale

Yayın Tarihi: 3/2019

Belge Dili: Türkçe

Document ID (Org No.): 2000745641

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Xiang LIU | Baoguo JIA | Lynn ERBE | Allan PETERSON

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.664-687

Belge Tipi:

Makale

Yayın Tarihi:

3/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745641

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098