Integro-differential equation (IDE)
A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation
... A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation.. Sirunya Thanompolkrang 1 and Duangkamol Poltem 1,2, *.[r] ...
7
A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel
... the integro- differential equations [5, 6], however, considerable works on numerical solutions of partial integro- differential equations have not been carried ...partial ...
9
SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD
... of integro-differential equations has been studied by Maleknejad and Mahmoudi ...solving integro-differential equation was investigated by Rashed (2004), Wazwaz (2006) used the modified ...
7
Existence, Uniqueness And Stability Solution Of Non-Linear System Of Integro-Differential Equation Of Volterra Type
... integral equation is a functional equation in which the unknown function appears under one or several integral signs; if, in addition, the equation contains a derivative of this function, we call the ...
19
Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets
... in equation 41 range from zero to one; the actual integration limits are much smaller because of the finite supports of the semiorthogonal scaling functions and ...in equation 41 become zero due to the ...
6
CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
... nonlinear integro-differential equation of frac- tional order α ∈ (0, 1) with nonlocal conditions in Banach ...fractional differential operator is taken in the Caputo ...
10
Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation
... sequence converging to a solution of the considered problem defined by (10) and (11). In this approach, we do not need to prove the existence of solution for BVP of nonlinear Caputo fractional integro ...
14
A new numerical scheme for solving system of volterra integro differential equation
... Genocchi polynomial is defined via the Bernoulli polyno- mial as given in Eq. (2). Therefore, the absolute error of apply- ing Genocchi polynomial to solving system of Volterra integro-differential ...
8
Evaluation of numerical integration schemes for a partial integro differential equation
... Numerical methods are important in computational neuroscience where com- plex nonlinear systems are studied. This report evaluates two methodologies, finite differences and Fourier series, for numerically integrating a ...
16
Study on integro-differential equation with generalized p-Laplacian operator
... most of the existing methods in the literature used to investigate such problems are based on the finite element method, hence our technique is new in tackling integro-differential equations. We shall consider the ...
15
Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation
... Volterra integro-differential equations are usually difficult to solve in an analytical ...algebraic equation systems; furthermore, the integrals involved are immediate and therefore we do not have to require ...
9
Uniqueness and existence of positive solutions for the fractional integro-differential equation
... fractional integro-differential equations involving the Caputo deriva- tive of order α (n – < α ≤ n, n ≥ ), the explicit cases, including measurable or continuous nonlinear term f , are discussed by adopting ...
17
The Application of the Hybrid Method to Solving the Volterra Integro-differential Equation
... Abstract— There are several works dedicated to the investigation of Volterra integro-differential equations. In addition, there are theoretical and practical representations of stable methods that have a ...
5
Numerical solution of nonlinear fractional integro-differential equation by Collocation method
... fractional differential equa- tions and hence the study of these type of equations is very important due to their frequent appearance in various appli- cations in fluid mechanics, biology, physics and engineering ...
7
Mild solution for fractional functional integro-differential equation with not instantaneous impulse
... Equation (1.5) is very important due to its appearance in mathematical modeling of viscoelasticity and other fields of science and engineering. This fact motivate us to study the existence results of the ...
10
Finite to infinite steady state solutions, bifurcations of an integro-differential equation
... this equation, which examine existence and stability of trav- elling waves [3], the structure of the stationary solutions set [2], propagation of discontinuities [11], coarsening [9] and long time behaviour [15, ...
16
Singularity analysis for a semilinear integro differential equation with nonlinear memory boundary
... Models involving memory terms in reaction have arisen in studies of nuclear reactor dynamics [, ] and population dynamics [], specifically in the case of logistic growth models involving both nondelayed and hereditary ...
17
On The Numerical Solution of Picard Iteration Method for Fractional Integro - Differential Equation
... Where 𝑔𝑔(𝑥𝑥) and 𝑦𝑦(𝑥𝑥) are the limits of integration, λ is a constant parameter, and 𝐾𝐾(𝑥𝑥, 𝑑𝑑) is a function of two variable 𝑥𝑥 and 𝑑𝑑 called the kernel or the nucleolus of the integral equation. The function ...
7
Uniqueness of an inverse problem for an integro-differential equation related to the Basset problem
... usual measurement data on the whole or part of in previous studies of inverse kernel problems. The uniqueness of our inverse problem is shown by using a maximum princi- ple related to an integro-differential ...
9
Numerical solution of a singularly perturbed Volterra integro differential equation
... perturbed integro-differential-algebraic equations and sin- gularly perturbed integro-differential systems has been solved by Kauthen [, ] by im- plicit Runge-Kutta ...and integro-differential ...
15