On a solvability of a nonlinear fractional reaction-diffusion system in the H\"{o}lder spaces
Abstract
In this paper we analyze the nonlinear fractional reaction-diffusion (NFRD) system. First, we establish the unique solvability in the H\"{o}lder space of the initial value/ boundary value problem for the fractional diffusion equation $\partial^{\alpha}_{t}u(x,t)=Lu(x,t)+f_{0}(x,t),$ $\alpha\in(0,1),$ where $L$ is a uniformly elliptic operator with smooth coefficients.Second, we apply the contraction theorem to prove the existence and uniqueness in the H\"{o}lder classes of the solution to NFRD system.Published
2013-11-23
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How to Cite
On a solvability of a nonlinear fractional reaction-diffusion system in the H\"{o}lder spaces. (2013). Nonlinear Studies, 20(4). https://www.nonlinearstudies.com/index.php/nonlinear/article/view/829