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Polynomial Decay of Mild Solutions to Semilinear Fractional Differential Equations with Nonlocal Initial Conditions

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Abstract

This paper deals with a class of two-term time fractional differential equations with nonlocal initial conditions. We establish the existence of mild solutions with explicit decay rate of polynomial type. To illustrate the abstract results, an example is also given.

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The authors would like to thank the anonymous referee for his/her helpful comments and suggestions.

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Correspondence to Vu Trong Luong.

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Luong, V.T., Van Loi, D. & Nam, H. Polynomial Decay of Mild Solutions to Semilinear Fractional Differential Equations with Nonlocal Initial Conditions. Differ Equ Dyn Syst 29, 391–404 (2021). https://doi.org/10.1007/s12591-018-0419-5

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