Results 51 to 60 of about 227 (172)

On stochastic solutions of nonlocal random functional integral equations

Arab Journal of Mathematical Sciences, 2019
In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a ...
M.M. Elborai, M.I. Youssef
doaj   +1 more source

Quasistable gradient and hamiltonian systems with a pairwise interaction randomly perturbed by wiener processes

, 2003
International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 45-67, 2003.
Anatoli V. Skorokhod
wiley   +1 more source

Fractional derivatives of Colombeau generalized stochastic processes defined on R+

, 2011
We consider Caputo and Riemann-Liouville fractional derivatives of a Colombeau generalized stochastic process G defined on R+. We give proper definitions and prove that both are Colombeau generalized stochastic processes themselves.
Danijela Rajter-Ciric
core   +1 more source

Analytic solution of a fractional-order hepatitis model using Laplace Adomian decomposition method and optimal control analysis

Computational and Mathematical Biophysics
Infectious illnesses like hepatitis place a heavy cost on global health, and precise mathematical models must be created in order to understand and manage them.
Aguegboh Nnaemeka S., Roy Kiogora Phineas, Felix Mutua, Okongo Walter, Diallo Boubacar   +4 more
doaj   +1 more source

Coexistence for a kind of stochastic three-species competitive models

Open Mathematics, 2019
The coexistence of species sustains the ecological balance in nature. This paper focuses on sufficient conditions for the coexistence of a three-species stochastic competitive model, where the model has non-linear diffusion parts.
Huang Nantian, Huang Jiabing, Wei Yuming, Liu Yongjian   +3 more
doaj   +1 more source

Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space

Advances in Difference Equations, 2011
This article deals primarily with the existence and uniqueness of square-mean almost automorphic mild solutions for a class of stochastic differential equations in a real separable Hilbert space.
N'Guérékata Gaston, Chang Yong-Kui, Zhao Zhi-Han   +2 more
doaj  

Existence and uniqueness of solution for a fractional hepatitis B model

Computational and Mathematical Biophysics
Understanding the dynamics of infectious diseases using mathematical modeling is essential for developing prevention and control measures. Hepatitis B is still a major public health issue in many places, including Kenya, where the high incidence of ...
Aguegboh Nnaemeka Stanley, Oranugo Dominic Obinna, Kiogora Phineas Roy, Felix Mutua, Netochukwu Onyiaji, Egwu Andrew Onyeka   +5 more
doaj   +1 more source

Backward stochastic differential equations with oblique reflection and local Lipschitz drift

, 2003
International Journal of Stochastic Analysis, Volume 16, Issue 4, Page 295-309, 2003.
Auguste Aman, Modeste N′Zi
wiley   +1 more source

Risk-neutral compatibility with option prices

Option prices, Risk neutral measures, Equity pricing, Equivalent martingale measures, 60G44, 60H10, 60H05, G12, G13,
Philip Protter, Jean Jacod
core   +1 more source

A statistical inference in an epidemic model with combinational drug treatment: HIV as a case study

Results in Applied Mathematics, 2019
Stochastic models are the systems of stochastic differential equations (SDEs) that account the variability in cellular reproduction and death, the infection process, viral reproduction and the immune response against the infection.
Xianbing Cao, Shubhankar Saha, Priti Kumar Roy   +2 more
doaj   +1 more source