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Remarks on recent fixed pont theorems and applications to integral equations

100%

Mishra S. , Singh S.

2001

tom Vol. 34, nr 4

847-857

Coincidence and fixed point theorems for a quadruple of maps on an arbitrary set with values in a metric space and with minimal commutavity conditions have been studied. Applications to nonlinear integral equations are also given.

Numerical and theoretical analysis of an awareness COVID-19 epidemic model via generalized Atangana-Baleanu fractional derivative

63%

Baba I. A. , Ahmed I. , Al-Mdallal Q. M. , Jarad F. , Yunusa S.

tom Vol. 21, nr 1

7--18

In this paper, a COVID-19 Awareness model in the setting of a generalized fractional Atangana-Baleanu derivative is proposed. The existence and uniqueness of a solution of the proposed fractional-order model are investigated under the techniques of fixed point theorems. In addition, we perform the predictor-corrector method to find its numeric solutions and present the graphs of the various solutions using different values of the parameters embodied in the derivative.