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A Hilbert space approach to fractional differential equations

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 نشر من قبل Konrad Kitzing
 تاريخ النشر 2019
  مجال البحث
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We study fractional differential equations of Riemann-Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on $mathbb{R}$, we define fractional operators by means of a functional calculus using the Fourier transform. Main tools are extrapolation- and interpolation spaces. Main results are the existence and uniqueness of solutions and the causality of solution operators for non-linear fractional differential equations.



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