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• W2990159033 abstract "Motivated by gradient methods in optimization theory, we give methods based on $psi$-fractional derivatives of order $alpha$ in order to solve unconstrained optimization problems. The convergence of these methods is analyzed in detail. This paper also presents an Adams-Bashforth-Moulton (ABM) method for the estimation of solutions to equations involving $psi$-fractional derivatives. Numerical examples using the ABM method show that the fractional order $alpha$ and weight $psi$ are tunable parameters, which can be helpful for improving the performance of gradient descent methods." @default.
• W2990159033 created "2019-12-05" @default.
• W2990159033 creator A5058488295 @default.
• W2990159033 creator A5090489273 @default.
• W2990159033 date "2019-11-19" @default.
• W2990159033 modified "2023-09-24" @default.
• W2990159033 title "The Gradient descent method from the perspective of fractional calculus" @default.
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• W2990159033 hasPublicationYear "2019" @default.
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