Regional observability for Hadamard-Caputo time fractional distributed parameter systems
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DOI: 10.1016/j.amc.2019.04.081
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- Almeida, Ricardo & Torres, Delfim F.M., 2015. "Computing Hadamard type operators of variable fractional order," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 74-88.
- Abbas, Saïd & Benchohra, Mouffak & Lazreg, Jamal-Eddine & Zhou, Yong, 2017. "A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 47-71.
- Zeng, Shengda & Baleanu, Dumitru & Bai, Yunru & Wu, Guocheng, 2017. "Fractional differential equations of Caputo–Katugampola type and numerical solutions," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 549-554.
- Cruz-Victoria, Juan C. & Martínez-Guerra, Rafael & Pérez-Pinacho, Claudia A. & Gómez-Cortés, Gian Carlo, 2015. "Synchronization of nonlinear fractional order systems by means of PIrα reduced order observer," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 224-231.
- Pei, Ke & Wang, Guotao & Sun, Yanyan, 2017. "Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 158-168.
- Ge, Fu-Dong & Zhou, Hua-Cheng & Kou, Chun-Hai, 2016. "Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 107-120.
- Yuji Liu, 2016. "Boundary value problems of singular multi-term fractional differential equations with impulse effects," Mathematische Nachrichten, Wiley Blackwell, vol. 289(11-12), pages 1526-1547, August.
- Liu, Rui-Juan & Nie, Zhuo-Yun & Wu, Min & She, Jinhua, 2018. "Robust disturbance rejection for uncertain fractional-order systems," Applied Mathematics and Computation, Elsevier, vol. 322(C), pages 79-88.
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Keywords
Hadamard-Caputo time fractional derivative; Regional observability; ω-strategic sensor; Initial vector reconstruction; Hilbert Uniqueness Method;All these keywords.
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