On the stability and global attractivity of solutions of fractional partial differential equations with uncertainty
In this paper, we study fractional partial differential equations (FPDEs) under Caputo gH-differentiability with uncertainty in type of fuzziness. Using Banach fixed point theorem, we show that the equilibrium point of the problem is stable. The stability is understood in the sense of Lyapunov stabi...
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| Veröffentlicht in: | Journal of intelligent & fuzzy systems 2018-01, Vol.35 (3), p.3797-3806 |
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| container_title | Journal of intelligent & fuzzy systems |
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| creator | Son, Nguyen Thi Kim Tam, Ha Thi Thanh |
| description | In this paper, we study fractional partial differential equations (FPDEs) under Caputo gH-differentiability with uncertainty in type of fuzziness. Using Banach fixed point theorem, we show that the equilibrium point of the problem is stable. The stability is understood in the sense of Lyapunov stability. Moreover, by constructing a basic space of integral solutions, we prove global existence of fuzzy decay solutions of the problem. Some examples are also given to illustrate our main results. |
| doi_str_mv | 10.3233/JIFS-18675 |
| format | Article |
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| subjects | Fixed points (mathematics) Mathematical analysis Partial differential equations Stability Uncertainty |
| title | On the stability and global attractivity of solutions of fractional partial differential equations with uncertainty |
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