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Explicit solutions for nonlinear L-fractional models

Develop explicit or closed-form solutions for nonlinear L-fractional differential equations, likely via power-series methods under analytic inputs, and clarify the precise sense (pointwise vs almost-everywhere) in which such solutions hold.

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Background

While the paper focuses on linear problems, the authors highlight that power-series methods could extend to nonlinear settings, with careful attention to solution regularity and interpretation.

References

Can we explicitly solve other models, with nonlinearities, under the L-fractional derivative?

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