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Table 1 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 \(f ( 1 )\)

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 2.23271 2.25575 2.29206 2.39
0.5 4.65311 4.75576 4.95031 5.76011
0.6 6.89295 7.01201 7.08879 7.20048
0.8 26.6485 27.057 27.1119 27.3581
0.9 −27.0582 −21.8756 106.988 113.437