Real world applications of fractional models by Atangana–Baleanu fractional derivative

By Erdal Bas, Ramazan Ozarslan. Chaos, Solitons & Fractals, 2018

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Abstract In this study, some modeling problems, Newton,’s law of cooling, population growth, logistic equation, blood alcohol model, are considered by Atangana–Baleanu fractional derivative. Analytical solutions are obtained by Laplace transform and results are simulated by figures under different orders. Atangana-Baleanu fractional derivative gives more precise results to the derivative with exponential kernel because of having fractional order, and so it is a generalized version of the derivative with exponential kernel.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/1373f95d82befd3cd06bae5d173977ced7e06a4b