**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1618

# Search results for: Volterra integro-differential equations

##### 1618 Development of Extended Trapezoidal Method for Numerical Solution of Volterra Integro-Differential Equations

**Authors:**
Fuziyah Ishak,
Siti Norazura Ahmad

**Abstract:**

**Keywords:**
accuracy,
extended trapezoidal method,
numerical solution,
Volterra integro-differential equations

##### 1617 Analysis of the Relationship between the Unitary Impulse Response for the nth-Volterra Kernel of a Duffing Oscillator System

**Authors:**
Guillermo Manuel Flores Figueroa,
Juan Alejandro Vazquez Feijoo,
Jose Navarro Antonio

**Abstract:**

**Keywords:**
Volterra series,
frequency response functions FRF,
associated linear equations ALEs,
unitary response function,
Voterra kernel

##### 1616 A Study on Approximate Controllability of Impulsive Integrodifferential Systems with Non Local Conditions

**Authors:**
Anandhi Santhosh

**Abstract:**

**Keywords:**
approximate controllability,
impulsive differential system,
fixed point theorem,
state-dependent delay

##### 1615 Residual Power Series Method for System of Volterra Integro-Differential Equations

**Authors:**
Zuhier Altawallbeh

**Abstract:**

**Keywords:**
integro-differential equation,
pantograph equations,
system of initial value problems,
residual power series method

##### 1614 A Series Solution of Fuzzy Integro-Differential Equation

**Authors:**
Maryam Mosleh,
Mahmood Otadi

**Abstract:**

**Keywords:**
Fuzzy number,
parametric form of a fuzzy number,
fuzzy integrodifferential equation,
homotopy analysis method

##### 1613 A Uniformly Convergent Numerical Scheme for a Singularly Perturbed Volterra Integrodifferential Equation

**Authors:**
Nana Adjoah Mbroh,
Suares Clovis Oukouomi Noutchie

**Abstract:**

**Keywords:**
midpoint rule,
non-standard finite difference schemes,
Richardson extrapolation,
singularly perturbed problems,
trapezoidal rule,
uniform convergence

##### 1612 Optimal Control of Volterra Integro-Differential Systems Based on Legendre Wavelets and Collocation Method

**Authors:**
Khosrow Maleknejad,
Asyieh Ebrahimzadeh

**Abstract:**

**Keywords:**
collocation method,
Legendre wavelet,
optimal control,
Volterra integro-differential equation

##### 1611 Globally Attractive Mild Solutions for Non-Local in Time Subdiffusion Equations of Neutral Type

**Authors:**
Jorge Gonzalez Camus,
Carlos Lizama

**Abstract:**

**Keywords:**
attractive mild solutions,
integral Volterra equations,
neutral type equations,
non-local in time equations

##### 1610 Classification of Equations of Motion

**Authors:**
Amritpal Singh Nafria,
Rohit Sharma,
Md. Shami Ansari

**Abstract:**

**Keywords:**
velocity-time graph,
fundamental equations,
additional equations,
requisite conditions,
importance and educational benefits

##### 1609 Existence of Minimal and Maximal Mild Solutions for Non-Local in Time Subdiffusion Equations of Neutral Type

**Authors:**
Jorge Gonzalez-Camus

**Abstract:**

**Keywords:**
fractional evolution equations,
Volterra integral equations,
minimal and maximal mild solutions,
neutral type equations,
non-local in time equations

##### 1608 Weak Solutions Of Stochastic Fractional Differential Equations

**Authors:**
Lev Idels,
Arcady Ponosov

**Abstract:**

**Keywords:**
delay equations,
operator methods,
stochastic noise,
weak solutions

##### 1607 Integrable Heisenberg Ferromagnet Equations with Self-Consistent Potentials

**Authors:**
Gulgassyl Nugmanova,
Zhanat Zhunussova,
Kuralay Yesmakhanova,
Galya Mamyrbekova,
Ratbay Myrzakulov

**Abstract:**

**Keywords:**
Heisenberg Ferromagnet equations,
soliton equations,
equivalence,
Lax representation

##### 1606 Pricing European Options under Jump Diffusion Models with Fast L-stable Padé Scheme

**Authors:**
Salah Alrabeei,
Mohammad Yousuf

**Abstract:**

**Keywords:**
Integral differential equations,
,
L-stable methods,
pricing European options,
Jump–diffusion model

##### 1605 Predicting Foreign Direct Investment of IC Design Firms from Taiwan to East and South China Using Lotka-Volterra Model

**Authors:**
Bi-Huei Tsai

**Abstract:**

**Keywords:**
Lotka-Volterra model,
foreign direct investment,
competitive,
Equilibrium analysis

##### 1604 Further Results on Modified Variational Iteration Method for the Analytical Solution of Nonlinear Advection Equations

**Authors:**
A. W. Gbolagade,
M. O. Olayiwola,
K. O. Kareem

**Abstract:**

**Keywords:**
lagrange multiplier,
non-homogeneous equations,
advection equations,
mathematics

##### 1603 New Insight into Fluid Mechanics of Lorenz Equations

**Authors:**
Yu-Kai Ting,
Jia-Ying Tu,
Chung-Chun Hsiao

**Abstract:**

**Keywords:**
Galerkin method,
Lorenz equations,
Navier-Stokes equations,
convectional motion

##### 1602 On the Relation between λ-Symmetries and μ-Symmetries of Partial Differential Equations

**Authors:**
Teoman Ozer,
Ozlem Orhan

**Abstract:**

**Keywords:**
λ-symmetry,
μ-symmetry,
classification,
invariant solution

##### 1601 Equations of Pulse Propagation in Three-Layer Structure of As2S3 Chalcogenide Plasmonic Nano-Waveguides

**Authors:**
Leila Motamed-Jahromi,
Mohsen Hatami,
Alireza Keshavarz

**Abstract:**

_{2}S

_{3}chalcogenide materials. Via utilizing Helmholtz equation and first-order perturbation theory, two components of electric field are determined within frequency domain. Afterwards, the equations are formulated in time domain. The obtained equations include two coupled differential equations that considers nonlinear dispersion.

**Keywords:**
nonlinear optics,
plasmonic waveguide,
chalcogenide,
propagation equation

##### 1600 Reduced Differential Transform Methods for Solving the Fractional Diffusion Equations

**Authors:**
Yildiray Keskin,
Omer Acan,
Murat Akkus

**Abstract:**

**Keywords:**
fractional diffusion equations,
Caputo fractional derivative,
reduced differential transform method,
partial

##### 1599 Global Stability Of Nonlinear Itô Equations And N. V. Azbelev's W-method

**Authors:**
Arcady Ponosov.,
Ramazan Kadiev

**Abstract:**

**Keywords:**
asymptotic stability,
delay equations,
operator methods,
stochastic noise

##### 1598 Solutions of Fractional Reaction-Diffusion Equations Used to Model the Growth and Spreading of Biological Species

**Authors:**
Kamel Al-Khaled

**Abstract:**

**Keywords:**
fractional partial differential equations,
reaction-diﬀusion equations,
adomian decomposition,
biological species

##### 1597 Numerical Solution for Integro-Differential Equations by Using Quartic B-Spline Wavelet and Operational Matrices

**Authors:**
Khosrow Maleknejad,
Yaser Rostami

**Abstract:**

**Keywords:**
ıntegro-differential equations,
quartic B-spline wavelet,
operational matrices,
dual functions

##### 1596 A Study of Evolutional Control Systems

**Authors:**
Ti-Jun Xiao,
Zhe Xu

**Abstract:**

**Keywords:**
evolutional control system,
controllability,
boundary control,
existence and uniqueness

##### 1595 Numerical Wave Solutions for Nonlinear Coupled Equations Using Sinc-Collocation Method

**Authors:**
Kamel Al-Khaled

**Abstract:**

**Keywords:**
Nonlinear coupled KdV equations,
Soliton solutions,
Sinc-collocation method,
Sinc functions

##### 1594 Generalization of Tau Approximant and Error Estimate of Integral Form of Tau Methods for Some Class of Ordinary Differential Equations

**Authors:**
A. I. Ma’ali,
R. B. Adeniyi,
A. Y. Badeggi,
U. Mohammed

**Abstract:**

**Keywords:**
approximant,
error estimate,
tau method,
overdetermination

##### 1593 Investigating the Form of the Generalised Equations of Motion of the N-Bob Pendulum and Computing Their Solution Using MATLAB

**Authors:**
Divij Gupta

**Abstract:**

**Keywords:**
classical mechanics,
differential equation,
lagrangian analysis,
pendulum

##### 1592 On Stability of Stochastic Differential Equations with Non Trivial Solutions

**Authors:**
Fakhreddin Abedi,
Wah June Leong

**Abstract:**

**Keywords:**
exponential stability in probability,
stochastic differential equations,
Lyapunov technique,
Ito’s formula

##### 1591 Numerical Treatment of Block Method for the Solution of Ordinary Differential Equations

**Authors:**
A. M. Sagir

**Abstract:**

**Keywords:**
block method,
first order ordinary differential equations,
hybrid,
self-starting

##### 1590 A Numerical Method for Diffusion and Cahn-Hilliard Equations on Evolving Spherical Surfaces

**Authors:**
Jyh-Yang Wu,
Sheng-Gwo Chen

**Abstract:**

**Keywords:**
conservation laws,
diffusion equations,
Cahn-Hilliard equations,
evolving surfaces

##### 1589 Nonhomogeneous Linear Second Order Differential Equations and Resonance through Geogebra Program

**Authors:**
F. Maass,
P. Martin,
J. Olivares

**Abstract:**

**Keywords:**
education,
geogebra,
ordinary differential equations,
resonance