Results 111 to 120 of about 37,785 (206)

Sharp convex generalizations of stochastic Gronwall inequalities

Journal of Differential Equations
30 pages.
openaire   +4 more sources

On a generalized fractional integral equation of a variable-order

AIMS Mathematics
The paper considers a class of generalized fractional integral equations with variable-order kernels. By employing estimates based on inequalities for the Gamma function, we establish the existence and uniqueness of solutions to the proposed fractional ...
Hamdan Al Sulaimani
doaj   +1 more source

Bounded solutions for fuzzy integral equations of fractional order

Advances in Difference Equations, 2018
In this paper, we consider sufficient conditions for the boundedness of every solution of fractional order fuzzy integral equations. Some examples are given to illustrate our results.
Haihua Wang
doaj   +1 more source

Some generalized Gronwall-Bellman type nonlinear delay integral inequalities for discontinuous functions [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A Class of Implicit Fractional $\psi$-Hilfer Langevin Equation with Time Delay and Impulse in the Weighted Space

Communications in Advanced Mathematical Sciences
In this paper, the Ulam-Hyers-Rassias stability is discussed and the existence and uniqueness of solutions for a class of implicit fractional $\psi$-Hilfer Langevin equation with impulse and time delay are investigated.
Hamid Lmou, Khalid Hilal, Ahmed Kajounı, Ayoub Louakar   +3 more
doaj   +1 more source

Exponential periodic attractor of impulsive Hopfield-type neural network system with piecewise constant argument

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper we study a periodic impulsive Hopfield-type neural network system with piecewise constant argument of generalized type. Under general conditions, existence and uniqueness of solutions of such systems are established using ergodicity, Green ...
Manuel Pinto, Ricardo Torres, Daniel Sepúlveda   +2 more
doaj   +1 more source

Finite-Time Stability of a Class of Nonstationary Nonlinear Fractional Order Time Delay Systems: New Gronwall–Bellman Inequality Approach

Mathematics
This paper aims to analyze finite-time stability (FTS) for a class of nonstationary nonlinear two-term fractional-order time-delay systems with α,β ∈ (0,2). Using a new type of generalized Gronwall–Bellman inequality, we derive new FTS stability criteria
M. Lazarević, Stjepko Pisl, Darko M. Radojevic   +2 more
semanticscholar   +1 more source

Dynamics of Fractional Delayed Reaction-Diffusion Equations. [PDF]

Entropy (Basel), 2023
Liu L, Nieto JJ.
europepmc   +1 more source

Asymptotic Dynamical Difference between the Nonlocal and Local Swift-Hohenberg Models

, 1998
In this paper the difference in the asymptotic dynamics between the nonlocal and local two-dimensional Swift-Hohenberg models is investigated. It is shown that the bounds for the dimensions of the global attractors for the nonlocal and local Swift ...
Duan, Jinqiao, Ervin, Vincent J., Gao, Hongjun, Lin, Guoguang   +3 more
core   +1 more source

Discrete generalized Gronwall inequalities in three independent variables [PDF]

Pacific Journal of Mathematics, 1979
Pachpatte, B. G., Singare, S. M.
openaire   +2 more sources