Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
PUSHPA PUBLISHING HOUSE
DOI: 10.1186/s13662-018-1680-1
Keywords
Fractional diabetes model; Picard-Lindelof approach; Fixed point theorem; Homotopy analysis method; Laplace transform
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In this work, we study the diabetes model and its complications with the Caputo-Fabrizio fractional derivative. A deterministic mathematical model pertaining to the fractional derivative of the diabetes mellitus is discussed. The analytical solution of the diabetes model is derived by exerting the homotopy analysis method, the Laplace transform and the Pade approximation. Moreover, existence and uniqueness of the solution are examined by making use of fixed point theory and the Picard-Lindelof approach. Ultimately, for illustrating the obtained results some numerical simulations are performed.
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