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Creators/Authors contains: "Hai, Pham Viet"

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  1. Motivated by gradient methods in optimization theory, we give methods based onψ‐fractional derivatives of orderαin 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 involvingψ‐fractional derivatives. Numerical examples using the ABM method show that the fractional orderαand weightψare tunable parameters, which can be helpful for improving the performance of gradient descent methods. 
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