Atangana-Baleanu derivative with fractional order applied to the model of groundwater within an unconfined aquifer

By Rubayyi T. Alqahtani. 2016

50 citations recorded by the source corpus.

The power law has been used to construct the derivative with fractional order in Caputo and RiemannLiouville sense, if we viewed them as a convolution. However, it is not always possible to find the power law behaviour in nature. In 2016 Abdon Atangana and Dumitru Baleanu proposed a derivative that is based upon the generalized Mittag-Leffler function, since the Mittag-Leffler function is more suitable in expressing nature than power function. In this paper, we applied their new finding to the model of groundwater flowing within an unconfined aquifer. c ©2016 All rights reserved.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2db560fba4df6867468b6c9bd53e1d03dbd9afba

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In Control and Systems Engineering

1. Mehmet Yavuz
2. Necati Özdemir

In Modeling and Simulation

1. Mehmet Yavuz
2. Necati Özdemir
3. Ndolane Sene

In Numerical Analysis

1. Mehmet Yavuz
2. Necati Özdemir
3. Ndolane Sene

Citations in the corpus

• Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel (2020, methodology): “For example, [15, 6, 7, 1, 11, 4, 26] are the other studies based on application of AB fractional derivative.”