Uniform small energy regularity holds for fractional parabolic Ginzburg-Landau problems and fractional harmonic maps to spheres across the full range of s in (0,1).
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Convolution-to-sum identities are derived for Mittag-Leffler type functions R_alpha,v and P_alpha,w, reducing convolutions to finite sums of the same functions when their orders are rationally related.
Global existence and uniqueness of solutions is established for the Cauchy problem of the time-fractional generalized Kuramoto-Sivashinsky equation in the Schwartz space.
citing papers explorer
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Uniform small energy regularity for fractional geometric problems
Uniform small energy regularity holds for fractional parabolic Ginzburg-Landau problems and fractional harmonic maps to spheres across the full range of s in (0,1).
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Convolution-to-sum identities for Mittag-Leffler type functions
Convolution-to-sum identities are derived for Mittag-Leffler type functions R_alpha,v and P_alpha,w, reducing convolutions to finite sums of the same functions when their orders are rationally related.
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Cauchy problem for the time-fractional generalized Kuramoto-Sivashinsky equation
Global existence and uniqueness of solutions is established for the Cauchy problem of the time-fractional generalized Kuramoto-Sivashinsky equation in the Schwartz space.