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Role of a Memory Function in the Generalized Alcoholic Model with ABC Fractional Derivative
  • MUHAMMAD IMRAN ASJAD,
  • Waqas FARIDI,
  • Zuhaa Binte Tahir
MUHAMMAD IMRAN ASJAD
University of Management and Technology Lahore

Corresponding Author:[email protected]

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Waqas FARIDI
University of Management and Technology, Lahore, Pakistan
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Zuhaa Binte Tahir
University of Management and Technology Lahore, Pakistan
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Abstract

This paper deals with mathematical analysis of a generalized fractional alcoholic model. The present model is constructed by the Atangana-Baleanu fractional operator with the memory function, which is utilized for the generalization of alcoholic model. The used memory function provides the information on entire domain of model except the initial stage. The existence of solution is veried by Picard iterative method and uniqueness of solution is also proved.