Artificial Intelligence Methods for Solving an Integral Equation with a Fractional Grunvald–Letnikov Integral
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Abstract
A computational scheme for the approximate solution of an integral equation with the Grünwald–Letnikov fractional integral has been developed, based on the least squares method. A distinctive feature of this scheme is the use of a neural network to compute the coefficients for the least squares method. The relevance of the study is обусловлена by the fact that, at present, artificial intelligence is increasingly being applied to solve many practical problems related to various physical processes. An estimate of the convergence of approximate solutions to the exact solution has been obtained. Possible directions for the further application of artificial intelligence in solving physical problems are also considered.
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References
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