## Decay estimates for evolutionary equations with fractional time-diffusion.(English)Zbl 1461.35049

Summary: We consider an evolution equation whose time-diffusion is of fractional type, and we provide decay estimates in time for the $$L^s$$-norm of the solutions in a bounded domain. The spatial operator that we take into account is very general and comprises classical local and nonlocal diffusion equations.

### MSC:

 35B40 Asymptotic behavior of solutions to PDEs 35R11 Fractional partial differential equations 26A33 Fractional derivatives and integrals 35K90 Abstract parabolic equations 47J35 Nonlinear evolution equations 58D25 Equations in function spaces; evolution equations
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### References:

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