Relative controllability results for nonlinear higher order fractional delay integrodifferential systems with time varying delay in control

M. Sivabalan; K. Sathiyanathan

doi:https://doi.org/10.31801/cfsuasmas.486183

Makale detayları

Relative controllability results for nonlinear higher order fractional delay integrodifferential systems with time varying delay in control

Yazarlar:

M. Sivabalan | K. Sathiyanathan

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.889-906

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000909521

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.486183

Özet:

 

This paper is concerned with the controllability of nonlinear higher order fractional delay integrodifferential equations with time varying delay in control, which involved Caputo derivatives of any different orders. A formula for the solution expression of the system is derived by using Laplace transform. A necessary and sufficient condition for the relative controllability of linear fractional delay dynamical systems with time varying delays in control is proved, and a sufficient condition for the corresponding nonlinear integrodifferential equation has obtained. Examples has given to verify the results.

Makale detayları

Relative controllability results for nonlinear higher order fractional delay integrodifferential systems with time varying delay in control

Yazarlar: M. Sivabalan | K. Sathiyanathan

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.889-906

Belge Tipi: Makale

Yayın Tarihi: 1/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000909521

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.486183

Sayı

Yazarlar:

M. Sivabalan | K. Sathiyanathan

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.889-906

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000909521

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.486183