Table 4 Approximate solution for temporarily quit smokers \(O(\tau )\) at various arbitrary orders of \(\mu\) and \(\tau\).

From: A novel technique to study the solutions of time fractional nonlinear smoking epidemic model

\(\mu =0.8\)

\(\mu =0.9\)

\(\tau\)

NTDM\(_{C}\)

NTDM\(_{CF}\)

NTDM\(_{ABC}\)

q-HATM55

LADM15

NTDM\(_{C}\)

NTDM\(_{CF}\)

NTDM\(_{ABC}\)

q-HATM55

LADM15

0

10

12.1683

12.1683

10

10

11.2121

11.2121

10

10

10

0.1

12.0554

12.7899

13.1519

12.0554

11.9806

12.1359

12.3913

11.6331

11.276

11.592

0.2

13.2887

13.3297

13.6953

13.2887

13.0618

12.9562

13.2542

12.852

12.4241

12.7091

0.3

14.1876

13.7876

14.0492

14.1876

13.7537

13.6729

13.9372

13.8408

13.4443

13.5444

0.4

14.8466

14.1636

14.2642

14.8466

14.1591

14.2859

14.4716

14.6413

14.3365

14.1439

0.5

15.3112

14.4578

14.3649

15.3112

14.3278

14.7953

14.8736

15.2749

15.1008

14.5317