Nonlocal fractional differential equations and applications
Analysis of PDEs
2020-01-01 v1
Abstract
Boundary value problems for nonlocal fractional elliptic equations with parameter in Banach spaces are studied. Uniform -separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives. Particularly, it is proven that the fractional ellipitic operator generated by these equations is sectorial and also is a generator of an analytic semigroup. Moreover, maximal regularity properties of nonlocal fractional abstract parabolic equation are established. As an application, the nonlocal anisotropic fractional differential equations and the system of nonlocal fractional differential equations are studied.
Cite
@article{arxiv.1912.13422,
title = {Nonlocal fractional differential equations and applications},
author = {Veli Shakhmurov},
journal= {arXiv preprint arXiv:1912.13422},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1706.00803