Results 31 to 40 of about 14,741 (209)
Advances in Difference Equations, 2021 The approximate controllability of second-order integro-differential evolution control systems using resolvent operators is the focus of this work. We analyze approximate controllability outcomes by referring to fractional theories, resolvent operators ...
Velusamy Vijayakumar +4 more
doaj +1 more source
Obstacle problems for integro-differential operators: Regularity of solutions and free boundaries
, 2016 We study the obstacle problem for integro-differential operators of order $2s$, with $s\in (0,1)$. Our main result establishes that the free boundary is $C^{1,\gamma}$ and $u\in C^{1,s}$ near all regular points.
Caffarelli, Luis +2 more
core +1 more source
, 2014 We state and prove a general Harnack inequality for minimizers of nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian.Comment: To appear in J.
Di Castro, Agnese +2 more
core +1 more source
Dualities and Asymptotic Mixtures Using Functional-Order Differentiation
AppliedMath, 2022 New definitions for fractional integro-differential operators are presented and referred to as delayed fractional operators. It is shown that delayed fractional derivatives give rise to the notion of functional order differentiation.
Aris Alexopoulos
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Polynomial Solutions and Annihilators of Ordinary Integro-Differential Operators [PDF]
IFAC Proceedings Volumes, 2013 In this paper, we study algorithmic aspects of linear ordinary integro-differential operators with polynomial coefficients. Even though this algebra is not noetherian and has zero divisors, Bavula recently proved that it is coherent, which allows one to develop an algebraic systems theory. For an algorithmic approach to linear systems theory of integro-
Quadrat, Alban, Regensburger, Georg
openaire +2 more sources
Optimal dividends for a NatCat insurer in the presence of a climate tipping point
Canadian Journal of Statistics, EarlyView.Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher +2 more
wiley +1 more source
Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation [PDF]
, 2013 We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical asymptotics.
Lisok, Aleksandr L. +2 more
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Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
Contributions to Plasma Physics, EarlyView.ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
wiley +1 more source
Numerical Approximate Solution of Fuzzy Volterra Nonlinear Integro-Differential Equation
Academic Science JournalIn this work, approximate solutions to fuzzy integro-differential equations refer to numerical methods or techniques used to obtain approximate solutions to differential equations involving fuzzy sets and integro-differential operators.
walaa fasial +2 more
doaj +1 more source
H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations
, 2010 This paper is concerned with H\"older regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we assume that, at each point of the domain, either the ...
Barles, Guy +2 more
core +3 more sources