Results 51 to 60 of about 600,406 (168)
Localization of quantum wave packets
, 2007 We study the semiclassical propagation of squeezed Gau{\ss}ian states. We do so by considering the propagation theorem introduced by Combescure and Robert \cite{CR97} approximating the evolution generated by the Weyl-quantization of symbols $H$.
Coddington E A +8 more
core +1 more source
Journal of Taibah University for Science, 2019 In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.
D. Vivek, Kamal Shah, K. Kanagarajan
doaj +1 more source
On an integral inequality in N-independent variables
International Journal of Mathematics and Mathematical Sciences, 1984 We present a new non-linear integral inequality of the Gronwall-Bellman-Bihari type in n-independent variables with application to pointwise estimates of solutions of a certain class of non-linear hyperbolic partial differential equation.
Olusola Akinyele
doaj +1 more source
, 2018 In this paper, we state and prove a new discrete fractional version of the generalized Gronwall inequality. Based on this, a particular version expressed by means of discrete Mittag–Lefler functions is provided.
J. Alzabut, T. Abdeljawad
semanticscholar +1 more source
Bulk-Edge correspondence for two-dimensional Floquet topological insulators
, 2018 Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation.
Graf, Gian Michele, Tauber, Clément
core +1 more source
Caputo gH-differentiability for Gronwalls inequality: insight, new results and application
Journal of Inequalities and ApplicationsThis paper investigates Gronwall’s inequality within the framework of interval-valued functions under Caputo gH-differentiability. Employing interval-valued Caputo fractional derivatives and associated interval-valued Riemann–Liouville integrals, we ...
Fatima Khan +5 more
doaj +1 more source
, 2020 We investigate the probabilistic and analytic properties of Volterra processes constructed as pathwise integrals of deterministic kernels with respect to the H\"older continuous trajectories of Hilbert-valued Gaussian processes.
Benth, Fred E., Harang, Fabian A.
core +1 more source
Gronwall-OuIang-Type Integral Inequalities on Time Scales
Journal of Inequalities and Applications, 2010 We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals.
Bohner Martin, Liu Ailian
doaj
On Volterra inequalities and their applications
International Journal of Mathematics and Mathematical Sciences, 2004 We present certain variants of two-dimensional and n-dimensional Volterra integral inequalities. In particular, generalizations of the Gronwall inequality are obtained.
Lechosław Hącia
doaj +1 more source
A Family of Transformed Difference Schemes for Nonlinear Time-Fractional Equations
Fractal and Fractional, 2023 In this paper, we present a class of finite difference methods for numerically solving fractional differential equations. Such numerical schemes are developed based on the change in variable and piecewise interpolations.
Hongyu Qin, Xiaoli Chen, Boya Zhou
doaj +1 more source