Results 81 to 90 of about 473,445 (276)

Solving system of integro differential equations using discrete adomian decomposition method

Journal of Taibah University for Science, 2019
In this paper, we propose a new numerical method for solving system of integro-differential equations featuring Volterra and Fredholm integrals. The proposed method depends on the successful application of the Discrete Adomian Decomposition Method (DADM)
H. O. Bakodah, M. Al-Mazmumy, S. O. Almuhalbedi   +2 more
doaj   +1 more source

Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali, Serena Matucci, Paola Rubbioni   +2 more
wiley   +1 more source

On linear and nonlinear integro-differential equations

Journal of Mathematical Analysis and Applications, 1986
AbstractThe decomposition method (Adomian, “Nonlinear Stochastic Operator Equations,” Academic Press, New York, in press; “Stochastic Systems,” Academic Press, New York 1983) is shown to be applicable to integro-differential operator equations.
Randolph Rach, George Adomian
openaire   +2 more sources

Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling

Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.
ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky, I. Volinsky, S. Biton, V. Steindorf   +3 more
wiley   +1 more source

Adjoint systems and Green functionals for second-order linear integro-differential equations with nonlocal conditions

Electronic Journal of Differential Equations, 2015
In this work, we generalize so called Green's functional concept in literature to second-order linear integro-differential equation with nonlocal conditions. According to this technique, a linear completely nonhomogeneous nonlocal problem for a second-
Ali Sirma
doaj  

Suppression of Plant Resistance May Be a Common Trait Among Adapted Herbivores

Ecology and Evolution, Volume 15, Issue 7, July 2025.
The intraspecific variation within the spider mites is a model for adaptive pest evolution on crops such as tomato. Here, Tetranychus urticae populations sampled from tomato at three field sites were compared, revealing that suppression is the dominant phenotype in mite strains collected from field‐grown tomatoes.
Jéssica Teodoro‐Paulo, Carlos Fernandes, Lin Dong, Sara Magalhães, Alison B. Duncan, Juan M. Alba, Merijn R. Kant   +6 more
wiley   +1 more source

Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions

, 2017
In this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary condition.
Mingyue Zuo, Xinan Hao, Lishan Liu, Yujun Cui   +3 more
semanticscholar   +1 more source

Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method [PDF]

Iranian Journal of Optimization, 2013
In this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered.
H. Saberi-Nik, S. Effati, R. Buzhabadi
doaj  

A fast algorithm for Prandtl's integro-differential equation

Journal of Computational and Applied Mathematics, 1997
Collocation and quadrature methods for singular integro-differential equations of Prandtl's type are studied in weighted Sobolev spaces. A fast algorithm basing on the quadrature method is proposed. Convergence results and error estimates are given.
M. R. CAPOBIANCO, CRISCUOLO, GIULIANA, P. JUNGHANNS   +2 more
openaire   +5 more sources

Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials

, 2017
We investigate the existence of solutions for a sum-type fractional integro-differential problem via the Caputo differentiation. By using the shifted Legendre and Chebyshev polynomials, we provide a numerical method for finding solutions for the problem.
Eisa Akbari Kojabad, S. Rezapour
semanticscholar   +1 more source