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Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations

Stochastics, 2020
This paper studies a class of fractional stochastic delay differential equations driven by a Wiener process. The sufficient conditions for the existence and uniqueness of the solution of fractional stochastic delay differential equations are obtained by ...
Behrouz Parsa Moghaddam   +4 more
semanticscholar   +1 more source

Metastability for delayed differential equations

Physical Review E, 1999
In systems at phase transitions, two phases of the same substance may coexist for a long time before one of them dominates. We show that a similar phenomenon occurs in systems with delayed feedback, where short-term stable oscillatory patterns can also have very long lifetimes before vanishing into constant or periodic steady states.
C, Grotta-Ragazzo   +2 more
openaire   +2 more sources

Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2

Numerical Methods for Partial Differential Equations, 2020
In our article, we are primarily concentrating on existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 
W. Kavitha Williams   +4 more
semanticscholar   +1 more source

Delayed Differential Equations

2014
Matematik olaylarıx'(t) = f(t, x(t ...
GÖZÜKIZIL, Ömer, Şencan, Huri
openaire   +1 more source

Delays and Differential Delay Equations

1998
Mathematically speaking, the most important tools used by the chemical kineticist to study chemical reactions like the ones we have been considering are sets of coupled, first-order, ordinary differential equations that describe the changes in time of the concentrations of species in the system, that is, the rate laws derived from the Law of Mass ...
Irving R. Epstein, John A. Pojman
openaire   +1 more source

Differential-Delay Equations

2011
Periodic motions in DDE (Differential-Delay Equations) are typically created in Hopf bifurcations. In this chapter we examine this process from several points of view. Firstly we use Lindstedt’s perturbation method to derive the Hopf Bifurcation Formula, which determines the stability of the periodic motion.
openaire   +1 more source

Stochastic Delay Differential Equations

2021
Real biological systems are always exposed to influences that are not completely understood or not feasible to model explicitly, and therefore, there is an increasing need to extend the deterministic models to models that embrace more complex variations in the dynamics. A way of modeling these elements is by including stochastic influences or noise.
openaire   +1 more source

Fuzzy delay differential equations

Fuzzy Optimization and Decision Making, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lupulescu, Vasile, Abbas, Umber
openaire   +1 more source

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