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Table 2 Numerical approximations to the first four eigenvalues of problem (24)–(25) according to \(E_{\delta, \theta } ( z) =\sum_{k = 0}^{750}\frac{z^{k}}{\Gamma ( \delta k + \theta ) }\). Eigenvalues correspond to eigenfunction \(f ( 0.5 )\)

From: Comparative simulations for solutions of fractional Sturm–Liouville problems with non-singular operators

α \(\lambda_{1}\) \(\lambda_{2}\) \(\lambda_{3}\) \(\lambda_{4}\)
0.25 2.14927 2.16768 2.19644 2.27351
0.5 4.44601 4.51349 4.63887 5.12925
0.6 6.6635 6.73779 6.7854 6.85408
0.8 25.9274 26.1506 26.1835 26.3153
0.9 103.657 106.885 109.738 111.407