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Numerical Solutions of Fuzzy Fractional Delay Differential Equations
V. Padmapriya,M. Kaliyappan,A. Manivannan 한국지능시스템학회 2020 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.20 No.3
In this paper, a novel technique is proposed to solve fuzzy fractional delay differential equations (FFDDEs) with initial condition and source function, which are fuzzy triangular functions. The obtained solution is a fuzzy set of real functions. Each real function satisfies an FFDDE with a specific membership degree. A detailed algorithm is provided to solve the FFDDE. The proposed method has been elucidated in detail through numerical illustrations. Graphs are plotted using MATLAB.
V. Padmapriya,M. Kaliyappan 한국지능시스템학회 2022 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.22 No.2
The matrix Mittag-Leffler functions play a crucial role in several applications related to systems with fractional dynamics. These functions represent a generalization for fractional-ordersystems of the matrix exponential function involved in integer-order systems. Computationaltechniques for evaluating the matrix Mittag-Leffler functions are therefore of particular importance. In this study, a fuzzy system of differential equations with fractional derivatives wassolved in terms of the matrix Mittag-Leffler functions. The matrix Mittag-Leffler function wasevaluated based on the Jordan canonical form and the minimal polynomial of the matrix