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Regularity properties of nonlocal fractional differential equations and applications
(Georgian Mathematical Journal, 2022)
The regularity properties of nonlocal fractional elliptic and parabolic equations in vector-valued Besov spaces are studied. The uniform Bsp,q -separability properties and sharp resolvent estimates are obtained for abstract ...
The quality properties of integral type problems for wave equations and applications
(Journal of Applied Mathematics and Physics, 2022)
In this paper, the integral problem for linear and nonlinear wave equations is
studied. The equation involves abstract operator A in Hilbert space H. Here,
assuming enough smoothness on the initial data and the operators, ...
The regularity properties and blow-up of solutions for nonlocal wave equations and applications
(Results in Mathematics, 2022)
In this paper, the Cauchy problem for linear and nonlinear
wave equations is studied.The equation involves an abstract operator A
in a Hilbert space H and a convolution term. Here, assuming sufficient
smoothness on the ...
The Lp -regularity properties of nonlocal wave equations and applications
(International Journal of Mathematics, 2022)
In this paper, the Cauchy problem for linear and nonlinear wave equations is studied. The equation involves abstract operator A
in a Banach space E and convolution terms. Here, assuming enough smoothness on the initial ...