Table 5 Approximate solution for permanently quit smokers \(W(\tau )\) at various fractional orders 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

5

5.2146

5.2146

5

5

5

5.1211

5.1211

5

5

0.1

5.2054

5.2738

5.3073

5.2054

7.4346

5.1636

5.2121

5.2369

5.1636

6.9295

0.2

5.3262

5.3241

5.3559

5.3262

8.9221

5.2841

5.2918

5.32

5.2841

8.3871

0.3

5.412

5.3656

5.385

5.412

10.0305

5.3803

5.3603

5.3842

5.3803

9.587

0.4

5.4726

5.3982

5.3997

5.4726

10.8685

5.4565

5.3175

5.4326

5.4565

10.5772

0.5

5.5127

5.4219

5.4024

5.5127

11.4884

5.5148

5.4636

5.4668

5.5148

11.3822