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• W4328131177 abstract "Motivated by the increase in practical applications of fractional calculus, we study the classical gradient method under the perspective of the ψ-Hilfer derivative. This allows us to cover several definitions of fractional derivatives that are found in the literature in our study. The convergence of the ψ-Hilfer continuous fractional gradient method was studied both for strongly and non-strongly convex cases. Using a series representation of the target function, we developed an algorithm for the ψ-Hilfer fractional order gradient method. The numerical method obtained by truncating higher-order terms was tested and analyzed using benchmark functions. Considering variable order differentiation and step size optimization, the ψ-Hilfer fractional gradient method showed better results in terms of speed and accuracy. Our results generalize previous works in the literature." @default.
• W4328131177 created "2023-03-22" @default.
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• W4328131177 date "2023-03-21" @default.
• W4328131177 modified "2023-10-14" @default.
• W4328131177 title "Fractional Gradient Methods via ψ-Hilfer Derivative" @default.
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• W4328131177 doi "https://doi.org/10.3390/fractalfract7030275" @default.
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