Table 2 Approximate solution for potential smokers \(V(\tau )\) at variation in \(\mu\) and various values of \(\tau\).

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

40

34.1735

34.1735

40

40

40

32.9434

32.9434

40

40

0.1

28.2215

39.7982

46.1478

28.0338

28.6749

29.2565

31.9995

32.6841

29.1162

29.132

0.2

28.8861

48.0747

61.0339

28.5365

28.6749

26.28233

34.4118

37.5872

26.0052

26.0772

0.3

36.3236

59.0029

78.8113

35.8119

36.1378

28.8935

40.1803

46.6408

28.4733

28.6572

0.4

49.1258

72.5829

99.165

48.4484

49.0558

36.4457

49.3048

59.4646

35.8752

36.24

0.5

66.5397

88.8146

121.8705

65.6923

66.6838

48.56872

61.7855

75.8233

47.8402

48.4674