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## On the controllability of nonlinear fractional system with control delay

#### Musarrat NAWAZ [1] , Jiang WEİ [2] , Jiale SHENG [3] , Azmat ULLAH KHAN NİAZİ [4] , Lichang YANG [5]

We discuss the controllability of nonlinear fractional control system with control delay. Firstly we obtain result about controllability of a linear fractional control system. After that, we give sufficient condition for the controllability of nonlinear fractional system with control delay. Our approach is based on Schauder fixed point theorem. At the end numerical example is constructed to support the result.
Controllability, nonlinear system, control delay
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Primary Language en Mathematics Mathematics Orcid: 0000-0001-6418-1283Author: Musarrat NAWAZ Institution: Anhui UniversityCountry: China Orcid: 0000-0002-5446-1860Author: Jiang WEİ Institution: Anhui UniversityCountry: China Orcid: 0000-0003-0207-9712Author: Jiale SHENG Institution: Anhui UniversityCountry: China Orcid: 0000-0001-9114-8075Author: Azmat ULLAH KHAN NİAZİ Institution: Anhui UniversityCountry: China Orcid: 0000-0002-5555-3433Author: Lichang YANG Institution: Anhui UniversityCountry: China Publication Date : February 6, 2020
 Bibtex @research article { hujms546990, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {294 - 302}, doi = {10.15672/hujms.546990}, title = {On the controllability of nonlinear fractional system with control delay}, key = {cite}, author = {NAWAZ, Musarrat and WEİ, Jiang and SHENG, Jiale and ULLAH KHAN NİAZİ, Azmat and YANG, Lichang} } APA NAWAZ, M , WEİ, J , SHENG, J , ULLAH KHAN NİAZİ, A , YANG, L . (2020). On the controllability of nonlinear fractional system with control delay. Hacettepe Journal of Mathematics and Statistics , 49 (1) , 294-302 . DOI: 10.15672/hujms.546990 MLA NAWAZ, M , WEİ, J , SHENG, J , ULLAH KHAN NİAZİ, A , YANG, L . "On the controllability of nonlinear fractional system with control delay". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 294-302 Chicago NAWAZ, M , WEİ, J , SHENG, J , ULLAH KHAN NİAZİ, A , YANG, L . "On the controllability of nonlinear fractional system with control delay". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 294-302 RIS TY - JOUR T1 - On the controllability of nonlinear fractional system with control delay AU - Musarrat NAWAZ , Jiang WEİ , Jiale SHENG , Azmat ULLAH KHAN NİAZİ , Lichang YANG Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.546990 DO - 10.15672/hujms.546990 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 294 EP - 302 VL - 49 IS - 1 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.546990 UR - https://doi.org/10.15672/hujms.546990 Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics On the controllability of nonlinear fractional system with control delay %A Musarrat NAWAZ , Jiang WEİ , Jiale SHENG , Azmat ULLAH KHAN NİAZİ , Lichang YANG %T On the controllability of nonlinear fractional system with control delay %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 1 %R doi: 10.15672/hujms.546990 %U 10.15672/hujms.546990 ISNAD NAWAZ, Musarrat , WEİ, Jiang , SHENG, Jiale , ULLAH KHAN NİAZİ, Azmat , YANG, Lichang . "On the controllability of nonlinear fractional system with control delay". Hacettepe Journal of Mathematics and Statistics 49 / 1 (February 2020): 294-302 . https://doi.org/10.15672/hujms.546990 AMA NAWAZ M , WEİ J , SHENG J , ULLAH KHAN NİAZİ A , YANG L . On the controllability of nonlinear fractional system with control delay. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 294-302. Vancouver NAWAZ M , WEİ J , SHENG J , ULLAH KHAN NİAZİ A , YANG L . On the controllability of nonlinear fractional system with control delay. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 302-294.

Authors of the Article
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