Modeling the heat flow equation with fractional-fractal differentiation

Ilknur Koca

Chaos, Solitons & Fractals, 2019, vol. 128, issue C, 83-91

Abstract: In this paper, modeling the heat flow equation with fractional-fractal differentiation is considered. This problem has opened a new viewpoint for modeling the classical and the fractional differentiation. We presented the existence of positive solution of the new model using the fixed-point approach and we established the uniqueness of the positive solution. Finally, we provide an example to illustrate one of the main results.

Keywords: Fractal-fractional calculus; Non-integer fractional derivatives; Numerical approximation. (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:128:y:2019:i:c:p:83-91

DOI: 10.1016/j.chaos.2019.07.014

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