A new fractional model for giving up smoking dynamics

Advances in Difference Equations

Maysaa Al Qurashi¹  Dumitru Baleanu²  Jagdev Singh³  Devendra Kumar³ 

[1] Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Etimesgut, Turkey;Department of Mathematics, JECRC University, Jaipur, India

关键词: smoking model;    fractional differential equations;    Caputo-Fabrizio derivative;    fixed point postulate;    uniqueness;    34A08;    35A20;    35A22;   

DOI  :  10.1186/s13662-017-1139-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The key purpose of the present work is to examine a fractional giving up smoking model pertaining to a new fractional derivative with non-singular kernel. The numerical simulations are conducted with the aid of an iterative technique. The existence of the solution is discussed by employing the fixed point postulate, and the uniqueness of the solution is also proved. The effect of various parameters is shown graphically. The numerical results for the smoking model associated with the new fractional derivative are compared with numerical results for a smoking model pertaining to the standard derivative and Caputo fractional derivative.

【 授权许可】

CC BY