18,180 research outputs found
A Short Note on Lyapunov Type Inequalities for Hilfer Fractional Boundary Value Problems
This paper deals with fractional boundary value problems involving the Hilfer
fractional differential operator of order and type . We derive the corresponding Lyapunov-type inequalities for two
prominent classes of Hilfer fractional boundary value problems (HFBVPs)
involving separated and anti-periodic boundary conditions. For this purpose, we
construct the associated Green's functions and deduce their important
properties
Fractional differential inclusions with anti-periodic boundary conditions in Banach spaces.
The main purpose of this paper is to provide the theory of differential inclusions by new existence results of solutions for boundary value problems of differential inclusions with fractional order and with anti-periodic boundary conditions in Banach spaces. We prove existence theorems of solutions under both convexity and nonconvexity conditions on the multivalued side. Meanwhile, the compactness of the set solutions is also established
Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations
In this paper, we shall discuss the existence and uniqueness of solutions for a nonlinear anti-periodic boundary value problem for fractional impulsive differential equations involving a Caputo-Fabrizio fractional derivative of order r ∈ (0, 1). Our results are based on some fixed point theorem, nonlinear alternative of Leray-Schauder type and coupled lower and upper solutions
Probing for Instanton Quarks with epsilon-Cooling
We use epsilon-cooling, adjusting at will the order a^2 corrections to the
lattice action, to study the parameter space of instantons in the background of
non-trivial holonomy and to determine the presence and nature of constituents
with fractional topological charge at finite and zero temperature for SU(2). As
an additional tool, zero temperature configurations were generated from those
at finite temperature with well-separated constituents. This is achieved by
"adiabatically" adjusting the anisotropic coupling used to implement finite
temperature on a symmetric lattice. The action and topological charge density,
as well as the Polyakov loop and chiral zero-modes are used to analyse these
configurations. We also show how cooling histories themselves can reveal the
presence of constituents with fractional topological charge. We comment on the
interpretation of recent fermion zero-mode studies for thermalized ensembles at
small temperatures.Comment: 26 pages, 14 figures in 33 part
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