Open AccessANALYSIS OF FRACTAL–FRACTIONAL MALARIA TRANSMISSION MODEL
Author(s) -
J.F. GómezAguilar,
Teodoro Córdova–Fraga,
Thabet Abdeljawad,
Aziz Khan,
Hasib Khan
Publication year - 2020
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x20400411
Subject(s) - fractal , uniqueness , mathematics , laplace transform , exponential function , fractional calculus , power law , fixed point theorem , transmission (telecommunications) , exponential decay , mathematical analysis , law , physics , computer science , statistics , quantum mechanics , telecommunications , political science
In this paper, the malaria transmission (MT) model under control strategies is considered using the Liouville–Caputo fractional order (FO) derivatives with exponential decay law and power-law. For the solutions we are using an iterative technique involving Laplace transform. We examined the uniqueness and existence (UE) of the solutions by applying the fixed-point theory. Also, fractal–fractional operators that include power-law and exponential decay law are considered. Numerical results of the MT model are obtained for the particular values of the FO derivatives [Formula: see text] and [Formula: see text].