Analysis and numerical simulation of fractional model of bank data with fractal-fractional Atangana-Baleanu derivative

DOI10.1016/j.cam.2019.112646zbMath1437.91457OpenAlexW2993571714WikidataQ126650017 ScholiaQ126650017MaRDI QIDQ2293645

Muhammad Altaf Khan, Wanting Wang

Publication date: 5 February 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112646

zbMATH Keywords

numerical resultscompetition modelreal datafractal-fractional Atangana-Baleanu operator

Mathematics Subject Classification ID

Numerical methods (including Monte Carlo methods) (91G60) Fractional derivatives and integrals (26A33) Fractals (28A80)

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Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
• A fractional-order model for HIV dynamics in a two-sex population
• New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations
• Mathematical analysis of dengue fever outbreak by novel fractional operators with field data
• A fractional model for the dynamics of TB virus
• A new fractional model for tuberculosis with relapse via Atangana-Baleanu derivative
• On some new properties of fractional derivatives with Mittag-Leffler kernel
• Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
• A fractional model for the dynamics of competition between commercial and rural banks in Indonesia
• Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu
• Modeling attractors of chaotic dynamical systems with fractal-fractional operators
• A comparison study of bank data in fractional calculus
• A mathematical model on fractional Lotka-Volterra equations
• Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative
• A new approach to capture heterogeneity in groundwater problem: An illustration with an Earth equation