Open AccessModeling and analysis of fractional TB model with Atangana-Baleanu derivative
Author(s) -
Aatif Ali,
Saeed Islam,
Quaid Iqbal,
Huma Gul,
Muhammad Nafees
Publication year - 2022
Publication title -
international journal of emerging multidisciplinaries. mathematics
Language(s) - English
Resource type - Journals
eISSN - 2790-3257
pISSN - 2790-1998
DOI - 10.54938/ijemdm.2022.01.1.18
Subject(s) - uniqueness , mathematics , kernel (algebra) , fractional calculus , derivative (finance) , boundary (topology) , calculus (dental) , computer science , mathematical analysis , pure mathematics , economics , medicine , dentistry , financial economics
In recent years Atangana and Baleanu proposed a new fractional derivative with non-singular and non-local kernel, this paper formulate a fragmentary request numerical TB model with AtanganaBaleanu derivative (AB derivative). We figured the basic reproduction number ( R0 ) and assessment of boundary dependent on genuine information of Khyber Pakhtunkhwa Pakistan, Initially we present the fundamental properties of the model, the existence and uniqueness of the model is proved using fixed point theory. At last, the model is tackled mathematically through Adams-Bashforth Moulton technique. The mathematical results for the extended model of the elements of Tuberculosis is shown graphically to feature the actual conduct of the issue and the underlying conditions are presented. The graphical results clarify the impact of various boundaries. From the examination it is tracked down that fragmentary request gives more understanding with regards to the infection elements.