Results 51 to 60 of about 37,785 (206)

On the generalized coupled Hadamard-Gronwall-Bellman-type inequalities with applications to fractional delay systems

AIMS Mathematics
The Gronwall-Bellman inequality is a primary tool for proving various types of stability. For this importance, the present paper focuses on the generalized forms of the well-known Gronwall-Bellman inequality in the context of the Hadamard fractional ...
Sina Etemad, Ali Akgül, J. Alberto Conejero   +2 more
doaj   +1 more source

Existence and data dependence results for neutral fractional order integro-differential equations

AIMS Mathematics, 2023
We assess the multi-derivative nonlinear neutral fractional order integro-differential equations with Atangana-Baleanu fractional derivative of the Riemann-Liouville sense.
Veliappan Vijayaraj, Chokkalingam Ravichandran, Thongchai Botmart , Kottakkaran Sooppy Nisar, Kasthurisamy Jothimani   +4 more
doaj   +1 more source

Stochastic differential utility as the continuous-time limit of recursive utility [PDF]

, 2013
We establish a convergence theorem that shows that discrete-time recursive utility, as developed by Kreps and Porteus (1978), converges to stochastic differential utility, as introduced by Dufffie and Epstein (1992), in the continuous-time limit of ...
Kraft, Holger, Seifried, Frank Thomas
core   +2 more sources

A Result Regarding Finite-Time Stability for Hilfer Fractional Stochastic Differential Equations with Delay

Fractal and Fractional, 2023
Hilfer fractional stochastic differential equations with delay are discussed in this paper. Firstly, the solutions to the corresponding equations are given using the Laplace transformation and its inverse.
Man Li, Yujun Niu, Jing Zou
doaj   +1 more source

Bounds for Tur\'anians of modified Bessel functions

, 2013
Motivated by some applications in applied mathematics, biology, chemistry, physics and engineering sciences, new tight Tur\'an type inequalities for modified Bessel functions of the first and second kind are deduced.
Alexandrov, Amos, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Bertini, Bhattacharya, Erdélyi, Fabrizi, Giorgi, Giorgi, Grandison, Gronwall, Hamsici, Hamsici, Hamsici, Hartman, Hartman, Hartman, Hasan, Ismail, Ismail, Ismail, Joshi, Klimek, Kokologiannaki, Laforgia, Laforgia, Lechleiter, Lombardo, Lorch, Lushnikov, Marchand, Marchand, Marchand, Nasell, Paltsev, Penfold, Phillips, Radwan, Radwan, Robert, Schlenk, Segura, Simitev, Simon, Tanabe, Thabane, Thiruvenkatachar, van Haeringen, Watson, Watson, Árpád Baricz   +58 more
core   +1 more source

Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]

, 2019
In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method.
Migorski, Stanislaw, Zeng, Shengda
core   +2 more sources

On coupled Gronwall inequalities involving a ψ-fractional integral operator with its applications

AIMS Mathematics, 2022
In this paper, we obtain a new generalized coupled Gronwall inequality through the Caputo fractional integral with respect to another function ψ. Based on this result, we prove the existence and uniqueness of solutions for nonlinear delay coupled ψ ...
Dinghong Jiang, Chuanzhi Bai
doaj   +1 more source

Numerical solution of the time-fractional Fokker-Planck equation with general forcing

, 2015
We study two schemes for a time-fractional Fokker-Planck equation with space- and time-dependent forcing in one space dimension. The first scheme is continuous in time and is discretized in space using a piecewise-linear Galerkin finite element method ...
Le, Kim Ngan, McLean, William, Mustapha, Kassem   +2 more
core   +1 more source

On the inviscid Boussinesq system with rough initial data [PDF]

, 2014
We deal with the local well-posedness theory for the two-dimensional inviscid Boussinesq system with rough initial data of Yudovich type. The problem is in some sense critical due to some terms involving Riesz transforms in the vorticity-density ...
Hassainia, Zineb, Hmidi, Taoufik
core   +3 more sources

A generalized Gronwall inequality via $ \psi $-Hilfer proportional fractional operators and its applications to nonlocal Cauchy-type system

AIMS Mathematics
This paper establishes a novel generalized Gronwall inequality concerning the $ \psi $-Hilfer proportional fractional operators. Before proving the main results, the solution of the linear nonlocal coupled $ \psi $-Hilfer proportional Cauchy-type system ...
W. Sudsutad, J. Kongson, Chatthai Thaiprayoon, Nantapat Jarasthitikulchai, Marisa Kaewsuwan   +4 more
semanticscholar   +1 more source