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The Integro-Differential Equation

integro-differential equation with not instantaneous impulse

integro-differential equation with not instantaneous impulse

... To the best of our knowledge, our results are new for the fractional functional integro-differential equation with state dependent delay subject to not instantaneous impulsive condition. This work is ...

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wavelet collocation method for solving integro-differential equation.

wavelet collocation method for solving integro-differential equation.

... kind; integro-differential equation; operational matrix of integrations; uniform convergence; accuracy ...of differential equations [1], integral equation [2],and integro ...

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Solution Of Integro-Differential Equation Of The Second Order With The Operators

Solution Of Integro-Differential Equation Of The Second Order With The Operators

... Theorem 1. [ 5 ] .Let šø be a Banach space , if š‘‡ is a contraction mapping on šø then š‘‡ has one and only one fixed point in šø . II. Existence Solution of (P). In this section, we prove the existence theorem for second ...

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An adaptive numerical scheme for a partial integro-differential equation

An adaptive numerical scheme for a partial integro-differential equation

... partial integro-differential ...an equation, there are also many opportunities for ...partial integro-differential equation has a tendency to produce aggregations leaving large ...

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Evaluation of numerical integration schemes for a partial integro differential equation

Evaluation of numerical integration schemes for a partial integro differential equation

... Institute of Information & Mathematical Sciences Massey University at Albany, Auckland, New Zealand. Numerical methods are important in computational neuroscience where com- plex nonlinear systems are studied. This ...

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The Application of the Hybrid Method to Solving the Volterra Integro-differential Equation

The Application of the Hybrid Method to Solving the Volterra Integro-differential Equation

... above equation is an integro-differential ...solving integro-differential equations is ...Volterra integro-differential equations using hybrid methods, and we began with ...

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CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE

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 ...

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Generalized Monotone Iterative Method  for Caputo Fractional Integro-differential Equation

Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation

... fractional integro-differential equation of order q with periodic boundary condition, via initial value problem (IVP) where 0 < q < ...linear integro-differential equations, that are ...

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A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel

A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel

... Received: 28 July 2016 / Revised: 15 March 2017 / Accepted: 13 June 2017 Abstract Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular ...

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A new numerical scheme for solving system of volterra integro differential equation

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 ...

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Hybrid fixed point theorem for abstract measure  Integro-differential equation

Hybrid fixed point theorem for abstract measure Integro-differential equation

... SS Bellale and GB Dapke Abstract In this paper, an existence theorem for an abstract measure integro-differential equation is proved via a nonlinear alternative of Leray-Schauder type. An existence ...

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2. Stability of a linear integro-differential equation of first order with variable delays

2. Stability of a linear integro-differential equation of first order with variable delays

... Abstract. We consider a linear integro-differential equation (IDE) of first order with two variable delays. We construct new conditions guaranteeing the trivial solution of this IDE is stable. The ...

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Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations

Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations

... nonlinear differential and Fredholm- Volterra integral and integro-differential-difference equations [5, 6, 7, 15, 18, ...nonlinear integro differential equations are exist, for example ...

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Method For Solving Fuzzy Integro-Differential Equation By Using Fuzzy Laplace Transformation

Method For Solving Fuzzy Integro-Differential Equation By Using Fuzzy Laplace Transformation

... fuzzy integro-differential equation under certain condition by using fuzzy Laplace transformation ...Volterra integro-differential equation, fuzzy Laplace Transformation, ...

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Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets

Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets

... Abstract—A numerical scheme, based on the cubic B-spline wavelets for solving fractional integro-differential equations is presented. The fractional derivative of these wavelets are utilized to reduce the ...

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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

... A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation.. Sirunya Thanompolkrang 1 and Duangkamol Poltem 1,2, *.[r] ...

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On a Simple Type of Integro-differential Equation

On a Simple Type of Integro-differential Equation

... (1) In the ordinary variational problem Jacobi's Equation is a second order homogeneous linear differential equation, and the important property is Sturm's result that the zeros of two l[r] ...
On a three step crisis integro differential equation

On a three step crisis integro differential equation

... fractional integro-differential equations is the three step crisis equation which has been reviewed ...fractional integro-differential equation under some boundary ...

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On a Generalized Integro-Differential Equation of Barbashin Type

On a Generalized Integro-Differential Equation of Barbashin Type

... The Cauchy operator (or resolvent operator) plays a crucial role in the classical theory of differential equations in Banach spaces (see, e.g., [4]).. However, there is a problem w[r] ...

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Numerical Solution of a Nonlinear Integro-Differential Equation

Numerical Solution of a Nonlinear Integro-Differential Equation

... The numerical results presented above evidence basic features of the behavior of the number density function a(t). However, further improvements of the algorithm are desirable. It will be also interesting to try to solve ...

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