Article
Analysis of neural networks with $\psi$-type Caputo fractional derivative
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Abstract
This paper studies existence and uniqueness for a general class of neural networks with $\psi$-Caputo fractional derivative. Some sufficient conditions for existence of the solutions are established by applying standard fixed point method and the inequality technique. At last, we consider the uniform stability of the $\psi$-type Caputo fractional-order neural networks.
Keywords
Existence and uniqueness, neural networks, $\psi$-type Caputo fractional-order, fixed point.
Citation
Vivek, D., Elsayed, E. M., & Kanagarajan, K. (2022). Analysis of neural networks with $\psi$-type caputo fractional derivative. Numerical and Computational Methods in Sciences and Engineering, 4(1), 13–20. https://doi.org/10.18576/ncmse/040102
D. Vivek, E. M. Elsayed and K. Kanagarajan, “Analysis of neural networks with $\psi$-type caputo fractional derivative,” Numerical and Computational Methods in Sciences and Engineering, vol. 4, no. 1, pp. 13–20, 2022, doi: 10.18576/ncmse/040102.
Vivek D, Elsayed EM, Kanagarajan K. Analysis of neural networks with $\psi$-type caputo fractional derivative. Numerical and Computational Methods in Sciences and Engineering. 2022;4(1):13–20. doi:10.18576/ncmse/040102.
Vivek, D., Elsayed, E. M. and Kanagarajan, K. (2022), ‘Analysis of neural networks with $\psi$-type caputo fractional derivative’, Numerical and Computational Methods in Sciences and Engineering, 4(1), pp. 13–20. Available at: https://doi.org/10.18576/ncmse/040102.
Vivek, D., et al. “Analysis of Neural Networks with $\psi$-type Caputo Fractional Derivative.” Numerical and Computational Methods in Sciences and Engineering, vol. 4, no. 1, 2022, pp. 13–20. https://doi.org/10.18576/ncmse/040102.
Vivek, D., E. M. Elsayed, and K. Kanagarajan. “Analysis of Neural Networks with $\psi$-type Caputo Fractional Derivative.” Numerical and Computational Methods in Sciences and Engineering 4, no. 1 (2022): 13–20. https://doi.org/10.18576/ncmse/040102.
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Published by: Engineering Journals
