Mathematical model for anomalous subdiffusion using comformable operator

Kritika,, Ritu Agarwal and Sunil Dutt Purohit

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: In the present work, we investigate the calcium signaling in cardiac myocytes. On the basis of the concept of anomalous diffusion, a mathematical model is proposed to characterize the anomalous subdiffusion of cytosolic calcium incorporating conformable derivative with respect to the time variable and fractal derivative with respect to the space variable. Problem has been solved using the Crank-Nicolson finite difference scheme for numerical approximation. The numerical simulation for the solution of the developed model is presented graphically for the various values of the fractal dimension and order of the fractional derivative.

Keywords: Anomalous subdiffusion; Calcium signaling; Constant proportional Caputo (CPC) operator; Comformable operator (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305956

DOI: 10.1016/j.chaos.2020.110199

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