Results 61 to 70 of about 480,745 (178)
Journal of Inequalities and Applications, 2019 In this article, we discuss the existence and uniqueness of solution of a delay Caputo q-fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the Ulam–Hyers stability and the Ulam–Hyers–Rassias stability.
Rabia Ilyas Butt +3 more
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Sharp Gronwall-Bellman type integral inequalities with delay
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Various attempts have been made to give an upper bound for the solutions of the delayed version of the Gronwall-Bellman integral inequality, but the obtained estimations are not sharp.
István Győri, László Horváth
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Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data [PDF]
Quant BiolAbstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Cheneke K, Fatmawati F, Bayram M.
europepmc +2 more sources
Exponential convergence for ultrafast diffusion equations with log‐concave weights
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
wiley +1 more source
Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima +2 more
wiley +1 more source
Evolution psi-Hilfer fractional differential equations in Banach spaces
Electronic Journal of Differential EquationsThis article concerns evolution equations involving $\psi$-Hilfer fractional derivative in a Banach space. By using the theory of fractional calculus and $\psi$-Laplace transform, we firstly derive a definition of mild solutions for these equations ...
Jin Liang, Yunyi Mu, Ti-Jun Xiao
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Local convergence analysis of L1/finite element scheme for a constant delay reaction-subdiffusion equation with uniform time mesh [PDF]
The aim of this paper is to develop a refined error estimate of L1/finite element scheme for a reaction-subdiffusion equation with constant delay $τ$ and uniform time mesh. Under the non-uniform multi-singularity assumption of exact solution in time, the
Bu, Weiping, Zheng, Xin
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Integral inequalities similar to Gronwall inequality
Electronic Journal of Differential Equations, 2007 In the present paper, we establish some nonlinear integral inequalities for functions of one variable, with a further generalization functions with n independent variables.
Hassane Khellaf, Mohamed Denche
doaj
This paper reviews five striking facts about inequality across countries. As Kuznets (1955) famously first documented, inequality first rises and then falls with income.
Edward L. Glaeser
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Exponentially stable solution of mathematical model of agents dynamics on time scales
Advances in Difference Equations, 2019 This work is an attempt at studying leader-following model on the arbitrary time scale. The step size is treated as a function of time. Our purpose is establishing conditions ensuring a leader-following consensus for any time scale basing on the Grönwall
Ewa Schmeidel +2 more
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