2022
DOI: 10.1155/2022/2710576
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Application of Intelligent Paradigm through Neural Networks for Numerical Solution of Multiorder Fractional Differential Equations

Abstract: In this study, the intelligent computational strength of neural networks (NNs) based on the backpropagated Levenberg-Marquardt (BLM) algorithm is utilized to investigate the numerical solution of nonlinear multiorder fractional differential equations (FDEs). The reference data set for the design of the BLM-NN algorithm for different examples of FDEs are generated by using the exact solutions. To obtain the numerical solutions, multiple operations based on training, validation, and testing on the reference data… Show more

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Cited by 41 publications
(37 citation statements)
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“…The two groups were compared before and after discharge 1 Months later PedsQL TM 4.0 ScoreTwo groups of children were discharged from the hospital 1. After months, the ratings have increased, but compared to the control group, in the intervention group, the score was higher, with a significant difference between the two groups and a statistically significant P < 0.05 [ 9 – 11 ]. ; detailed data are shown in Table 5 .…”
Section: Resultsmentioning
confidence: 99%
“…The two groups were compared before and after discharge 1 Months later PedsQL TM 4.0 ScoreTwo groups of children were discharged from the hospital 1. After months, the ratings have increased, but compared to the control group, in the intervention group, the score was higher, with a significant difference between the two groups and a statistically significant P < 0.05 [ 9 – 11 ]. ; detailed data are shown in Table 5 .…”
Section: Resultsmentioning
confidence: 99%
“…To this end, a method is proposed that employs a method that significantly reduces access to this index-result sharing. This new approach to result sharing is called BBAR * [22][23][24]. The real dataset used in the experiments, COLOR, is the Corell image feature dataset from the UCI machine learning library, which consists of 68,040 9-dimensional tuples depicting the features of HSV color space images [25].…”
Section: Results Sharing Basic Branch Definition Algorithmmentioning
confidence: 99%
“…As shown in Figure 5 , in the same knowledge change process, differences in learning methods will lead to different learning effects, and the learning level will gradually increase in the direction of passive, active, constructive, and interactive. Meanwhile, passive learning means acceptance, active learning means manipulation, constructive learning means generation, and interactive learning means collaboration [ 23 ].…”
Section: Methodsmentioning
confidence: 99%