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Extension to regular singular points for linear equations with analytic coefficients

Determine whether the theory for linear L-fractional differential equations with analytic coefficients can be extended to the case of regular singular points, overcoming difficulties with variable changes and product rules.

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Background

Section 7 addresses order-two equations with analytic coefficients via power series. Extending to regular singular points raises additional technical challenges unique to fractional operations.

References

Is the theory on linear L-fractional differential equations with analytic coefficients extensible to the case of regular singular points?

Theory on linear L-fractional differential equations and a new Mittag-Leffler-type function (2403.00341 - Jornet, 1 Mar 2024) in Section 8, Open Problems