Khursheed J. Ansari1, Mustafa Inc2,3,4,*, K. H. Mahmoud5,*, Eiman6
CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1669-1684, 2023, DOI:10.32604/cmes.2022.022971
Abstract In this article, we developed sufficient conditions for the existence and uniqueness of an approximate solution to
a nonlinear system of Lorenz equations under Caputo-Fabrizio fractional order derivative (CFFD). The required
results about the existence and uniqueness of a solution are derived via the fixed point approach due to Banach
and Krassnoselskii. Also, we enriched our work by establishing a stable result based on the Ulam-Hyers (U-H)
concept. Also, the approximate solution is computed by using a hybrid method due to the Laplace transform and
the Adomian decomposition method. We computed a few terms of the required solution through the… More >
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