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Table 9 Solutions of case 4 for different values of β

From: Solutions of fractional order differential equations modeling temperature distribution in convective straight fins design

ξ β = −0.5 β = −0.3 β = −0.1 β = 0.1 β = 0.3 β = 0.5
0 0.736887254 0.806825310 0.848030903 0.875702486 0.895173165 0.909706168
0.1 0.741421678 0.810242428 0.850464066 0.877525349 0.896627875 0.910894740
0.2 0.751559979 0.818315761 0.856609705 0.882338479 0.900551784 0.914173081
0.3 0.765778410 0.829904509 0.865717768 0.889653279 0.906610595 0.919303417
0.4 0.783893924 0.844693326 0.877505968 0.899249977 0.914639594 0.926159469
0.5 0.805997118 0.862569203 0.891830921 0.911001759 0.924534722 0.934657335
0.6 0.832371069 0.883516938 0.908614294 0.924825732 0.936222607 0.944734751
0.7 0.863600197 0.907592060 0.927819373 0.940666356 0.949649070 0.956343213
0.8 0.900759091 0.934909492 0.949438994 0.958487721 0.964773339 0.969443872
0.9 0.945572821 0.965638253 0.973488179 0.978268589 0.981564669 0.984004942
1 0.999999736 0.999999984 1.000000016 0.999998561 0.999999999 0.999999998