Research Article

Analytical Approximate Solution of the Fractional Order Biological Population Model by Using Natural Transform

Table 2

Comparison of the different values of and the absolute error of the 6th order NTIM solution with the 6th order MGTFSM solution for Problem 8.

ExactNTIM errorError [18]

0.10.12.464551.943291.561270.3500670.350067
0.32.464551.943291.561270.4275730.427573
0.52.464551.943291.561270.5222380.522239
0.72.464551.943291.561270.6378580.637864
0.92.464551.943291.561270.7790550.779089

0.30.14.324513.409862.739550.6142590.614259
0.34.324513.409862.739550.7502580.750258
0.54.324513.409862.739550.9163660.916367
0.74.324513.409862.739551.119241.11925
0.94.324513.409862.739551.3671.36706

0.50.15.720824.510843.62410.8125920.812592
0.35.720824.510843.62410.9925020.992502
0.55.720824.510843.62411.212241.21224
0.75.720824.510843.62411.480631.48064
0.95.720824.510843.62411.808381.80846