Advances in Continuous and Discrete Models

Theory and Modern Applications

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

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