Mathematical analysis

Chemistry

Economics

Biochemistry

Physics

Nonlinear system

Uniqueness

Population

Kernel (algebra)

Finance

Operator (biology)

Pure mathematics

Mathematics

Gene

Fractional calculus

Quantum mechanics

Demography

Order (exchange)

Fixed point

Sociology

Transcription factor

Repressor

Applied mathematics

Journal of Applied Analysis & Computation

<abstract> The investigation of this research article is the development of studying the dynamical behavior of the drinking population through the fractional drinking model in the sense of Caputo-Fabrizio (CF) arbitrary order operator along with the special non-singular kernel. The proposed system is analyzed for existence result and uniqueness of solution by applying fixed point theory and Picard's technique. Also on utilizing Adams-Bashforth method (ABM) of numerical analysis to interpret the approximate results through plots to observe dynamical behavior corresponding to different fractional order. For the mentioned simulation some real initial and parameter data are used. </abstract>

ON NONLINEAR EVOLUTION MODEL FOR DRINKING BEHAVIOR UNDER CAPUTO-FABRIZIO DERIVATIVE