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Nonlocal fractional elliptic equations and applications
  • Veli Shakhmurov,
  • muhammet kurulay
Veli Shakhmurov
Okan University
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muhammet kurulay
math
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Abstract

The maximal Lp-regularity properties of nonlocal fractional elliptic equa- tions are studied. Particularly, it is proven that the fractional elliptic operator generated by these equations is sectorial and also is a generator of an ana- lytic semigroup. Moreover, maximal regularity properties of nonlocal fractional parabolic equation are established.