ANALYSIS OF FRACTAL–FRACTIONAL MALARIA TRANSMISSION MODEL | Zendy

J.F. GómezAguilar | Zendy; Teodoro Córdova–Fraga | Zendy; Thabet Abdeljawad | Zendy; Aziz Khan | Zendy; Hasib Khan | Zendy

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ANALYSIS 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].

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