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Fuzzy fractional differential equations under Caputo–Katugampola fractional derivative approach
Fuzzy Sets and Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ngo Van Hoa, Ho Vu, Tran Minh Duc
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Fuzzy fractional differential equations under generalized fuzzy Caputo derivative
Journal of Intelligent & Fuzzy Systems, 2014In this paper the fuzzy Caputo fractional differential equation (FCFDE) under the Generalized Hukuhara differentiability is introduced. Also the existence and uniqueness of the solution for a class of fuzzy Caputo fractional differential equation with initial value is studied, and an analytical solution of FCFDE is obtained.
Allahviranloo, T. +2 more
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Fuzzy Fractional Derivative: A New Definition
2017In this paper, a new definition of fuzzy fractional derivative is presented. The definition does not have the drawbacks of the previous definitions of fuzzy fractional derivatives. This definition does not necessitate that the diameter of the fuzzy function be monotonic, and it does not refer to derivative of order greater than the one that is ...
Marzieh Najariyan +2 more
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International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2023
Process control is the interested domain of interest as the industrial high-order applications require an effective control mechanism with higher robustness. Since the conventional method of proportional integral derivative (PID) controller remains inadequate for the higher-order processes, this research concentrates on the fuzzy fractional-order ...
R. Anuja +2 more
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Process control is the interested domain of interest as the industrial high-order applications require an effective control mechanism with higher robustness. Since the conventional method of proportional integral derivative (PID) controller remains inadequate for the higher-order processes, this research concentrates on the fuzzy fractional-order ...
R. Anuja +2 more
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Design of fuzzy proportional plus fractional-order integral-derivative controller
2016 IEEE International Conference on Automatic Control and Intelligent Systems (I2CACIS), 2016Fractional-order PID (FOPID) controller has been focused lately and has become a popular controller which is an extension to the conventional PID controller. However, the controller introduced more parameters that need to be tuned. The incorporation of fuzzy rules in the tuning procedures can basically simplify the problem but it has been proven that ...
Nur Sakinah Abdul Aziz +2 more
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2021
In this paper, we study the complete controllability for a class of fuzzy fractional evolution equations in terms of Frechet−Caputo derivatives in the linear correlated fuzzy space. Sufficient conditions for the complete controllability for the fuzzy fractional evolution equations are considered in both cases of the unique or not unique control ...
Nguyen Thi Kim Son +3 more
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In this paper, we study the complete controllability for a class of fuzzy fractional evolution equations in terms of Frechet−Caputo derivatives in the linear correlated fuzzy space. Sufficient conditions for the complete controllability for the fuzzy fractional evolution equations are considered in both cases of the unique or not unique control ...
Nguyen Thi Kim Son +3 more
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Fractional Derivatives with Fuzzy Exponent
2009Fractional derivatives with fuzzy exponent defined with the help of new type of fuzzy numbers are introduced. New model of fuzzy numbers, called ordered fuzzy numbers (OFN), invented in 2003 by the author and his coworkers, is also shortly presented.
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Computational and Applied Mathematics
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T. T. Le +3 more
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T. T. Le +3 more
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Computational and Applied Mathematics
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Nguyen Thi Thu Huyen +3 more
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Nguyen Thi Thu Huyen +3 more
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Fuzzy Langevin fractional delay differential equations under granular derivative
Information ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghulam Muhammad +3 more
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