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Analytical and approximate solutions of fractional‐order susceptible‐infected‐recovered epidemic model of childhood disease
Author(s) -
Srivastava H. M.,
Günerhan Hatira
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5396
Subject(s) - mathematics , conformable matrix , epidemic model , order (exchange) , fractional calculus , series (stratigraphy) , work (physics) , epidemic disease , mathematical analysis , medicine , virology , finance , quantum mechanics , economics , biology , mechanical engineering , engineering , paleontology , population , physics , environmental health
In this work, we make use of the conformable fractional differential transform method (CFDTM) in order to compute an approximate solution of the fractional‐order susceptible‐infected‐recovered (SIR) epidemic model of childhood disease. The method provides the solution in the form of a rapidly convergent series. Two explanatory and illustrative examples are given to represent the efficacy of the obtained results.