We consider here a problem of population dynamics modeled on a logistic equation with
both classical and nonlocal diffusion, possibly in combination with a pollination term. The …

We develop a systematic study of the superpositions of elliptic operators with different
orders, mixing classical and fractional scenarios. For concreteness, we focus on the sum of …

In this article, the considered problem of Cauchy reaction diffusion equation of fractional
order is solved by using integral transform of Laplace coupled with decomposition technique …

In this paper, we consider an elliptic operator obtained as the superposition of a classical
second-order differential operator and a nonlocal operator of fractional type. Though the …

We consider the first Dirichlet eigenvalue problem for a mixed local/nonlocal elliptic operator
and we establish a quantitative Faber-Krahn inequality. More precisely, we show that balls …

In this study, we investigate the intial value problem (IVP) for a time-fractional fourth-order
equation with nonlinear source terms. More specifically, we consider the time-fractional …

Linear theory for a mixed operator with Neumann conditions - IOS Press You are viewing
a javascript disabled version of the site. Please enable Javascript for this site to function …

We prove existence of a bounded weak solution to a degenerate quasilinear subdiffusion
problem with bounded measurable coefficients that may explicitly depend on time. The …

Using energy methods, we prove some power-law and exponential decay estimates for
classical and nonlocal evolutionary equations. The results obtained are framed into a …

In this paper, after a brief review of the general theory concerning regularized derivatives
and integrals of a function with respect to another function, we provide a peculiar fractional …