On artificial neural networks approach with new cost functions

Ahmad Jafarian, Safa Measoomy Nia, Alireza Khalili Golmankhaneh and Dumitru Baleanu

Applied Mathematics and Computation, 2018, vol. 339, issue C, 546-555

Abstract: In this manuscript, the artificial neural networks approach involving generalized sigmoid function as a cost function, and three-layered feed-forward architecture is considered as an iterative scheme for solving linear fractional order ordinary differential equations. The supervised back-propagation type learning algorithm based on the gradient descent method, is able to approximate this a problem on a given arbitrary interval to any desired degree of accuracy. To be more precise, some test problems are also given with the comparison to the simulation and numerical results given by another usual method.

Keywords: Fractional order ordinary differential equation; Artificial neural networks approach; Least mean squares cost function; Supervised back-propagation learning algorithm (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:546-555

DOI: 10.1016/j.amc.2018.07.053

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