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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


On Solution of Fractional Model of Human Liver under Hybrid Fractional Derivative

Discontinuity, Nonlinearity, and Complexity 11(1) (2022) 183--190 | DOI:10.5890/DNC.2022.03.015

Shabir Ahmad, Aman Ullah, Ali Akg "ul , Dumitru Baleanu

Art and Science Faculty, Department of Mathematics, Siirt University, TR-56100 Siirt, Turkey

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Abstract

In this paper, we generalize the mathematical model of the human liver by recently introduced hybrid fractional derivative. We achieve the existence and uniqueness results via Schauder's and Banach fixed point theorems, respectively. We use the Laplace transformation technique to attain the series type solution of the human liver model. In the end, we give the conclusion of the manuscript and future research direction.

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