A Comprehensive Review of the Atangana-Baleanu Fractional Operator:  Theory, Applications, and Advances

Namrata Pandey, Neelam Pandey and Radha Krishna Shukla

A Comprehensive Review of the Atangana-Baleanu Fractional Operator: Theory, Applications, and Advances

Authors

Namrata Pandey, Neelam Pandey and Radha Krishna Shukla

Keywords:

Atangana-Baleanu Fractional Operator, Fractional Calculus, Non-local Derivatives,Memory Effects,Anomalous Diffusion,Kernel Functions,Riemann-Liouville Derivative, Caputo Derivative

Abstract

The Atangana-Baleanu fractional operator is a significant development in fractional calculus thatimproves the ability to describe complicated systems by include non-local dynamics andovercoming the constraints of conventional fractional derivatives. In this paper, the AtanganaBaleanu fractional operator is thoroughly examined, including its theoretical underpinnings,practical uses, and current progress

References

Atangana, A., & Baleanu, D. (2016). New fractional derivatives with nonlocal and nonsingular kernel: Theory and application to heat transfer model. Thermal Science, 20(2), 763769. doi:10.2298/TSCI160111018A

Atangana, A., & Baleanu, D. (2017). Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer. The European Physical Journal Plus, 132(8), 1-12. doi:10.1140/epjp/i2017-11507-3

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Published

2024-11-10

How to Cite

Namrata Pandey, Neelam Pandey and Radha Krishna Shukla. (2024). A Comprehensive Review of the Atangana-Baleanu Fractional Operator: Theory, Applications, and Advances . Journal of Computational Analysis and Applications (JoCAAA), 33(08), 4939–4948. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/3037