Initial value problem
Reducing Initial Value Problem and Boundary Value Problem to Volterra and Fredholm Integral Equation and Solution of Initial Value Problem Habeeb Khudhur Kadhim
... an initial value problem to an integral equation by using Leibnitz ...the initial conditions should be given, and this may be clearly seen as a result of involving š¢(š„) and its ...The ...
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Stability and boundedness of solutions of the initial value problem for a class of time fractional diffusion equations
... The aim of this paper is to study the stability and boundedness of solutions of the initial value problem for a class of time-fractional diļ¬usion equations. We ļ¬rst establish a fractional Duhamel ...
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Initial value problem for second order random fuzzy differential equations
... fuzzy initial valued for the fuzzy diļ¬erential equations involving strongly gen- eralized ...this problem in some especial cases were ...fuzzy initial value problem under strongly ...
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Stability and Regularization Method for Inverse Initial Value Problem of Biparabolic Equation
... inverse initial value problem of the biparabolic equation; this problem is ill-posed and the regularization methods are needed to stabilize the numerical ...
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Initial value problem for nonlinear fractional differential equations with sequential fractional derivative
... Fractional diļ¬erential equations have been of great interest for the past three decades. This is due to the intensive development of the theory of fractional calculus itself as well as its applications. Apart from ...
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Consistency and Stability Issues in the Numerical Integration of the First and Second Order Initial Value Problem
... of initial value ...the initial value problem, is often to greatly facili- tate their introduction in the ...order problem, we consider the usefulness of implicit methods, see ...
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Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations
... of problem under ...the initial value problem in ordinary differential equation and compare the results of an original ADM to those with the modifi- ...the initial value ...
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Monotone iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function
... We will apply the monotone-iterative technique to ļ¬nd an approximate solution of the initial value problem for a nonlinear diļ¬erential equation with a step function.. ā Then there exist [r] ...
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New Soliton Solutions to the Initial Value Problem for the Two Component Short Pulse Equation
... Riemann-Hilbert problem to the initial value problem for the two-component system proposed by ...Riemann-Hilbert problem, we can get the soliton solutions of the two-component ...
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Solitary Wave Solutions and Rational Solutions for Modified Zakharov Kuznetsov Equation with Initial Value Problem
... the initial value problem is studied numerically by means of homotopy perturbation ...the initial value, the single solitary wave, two solitary waves and rational solutions are ...
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Positive solutions for discrete fractional initial value problem
... Proof. From Theorem 3.2, if the condition in Theorem 4.2 holds, it follows that the initial value problem (1.8) has at least one positive solution in S. Hence, we need only to prove that the operator ...
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A note on the initial value problem of fractional evolution equations
... In this paper, we discuss the continuous dependence of mild solutions on initial values and orders for the initial value problem of fractional evolution equations in inļ¬nite dimensional ...
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Initial value problem for fractional evolution equations
... This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by ...
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Solving initial value problem using Runge Kutta 6th order method
... the initial node (root) which is usually exist in each tree and denoted it by the symbol, the second type is called the intermediate nodes (non-leaf nodes that take the symbol), the third type of nodes is named ...
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ITERATIVE METHOD FOR CONSTRUCTING ANALYTICAL SOLUTIONS TO THE HARRY-DYM INITIAL VALUE PROBLEM
... problems in physics, chemistry, biology, economy and engineering science. Many problems can be modelled as systems of differential equations, integral equa- tions, integro-differential equations, partial differential ...
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Singular Cauchy Initial Value Problem for Certain Classes of Integro Differential Equations
... Cauchy problem for first-order diļ¬erential and integro-diļ¬erential equations resolved or unresolved with respect to the derivatives of unknowns is fairly well studied see, ...
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A characteristic initial value problem for a strictly hyperbolic system
... We mention further that characteristic boundary value problems for diļ¬erent hyper- bolic systems have been studied in [2] extensively. What is diļ¬erent about our work here is that in addition to prescribing data ...
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On the initial value problem for a partial differential equation with operator coefficients
... Singular Integral Operators and Cauchyās Problem for Some Partial Differential Equations With Operator Coefficients, Transaction of the Science Centre, Alexandria University Vol.. Lnear [r] ...
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Fuzzy laplace transform on two order derivative and solving fuzzy two order differential equations
... equation,fuzzy laplae transform, fuzzy initial value problem.. ||||||||||||||||||||||||||||||||{.[r] ...
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Two-Dimension Riemann Initial-Boundary Value Problem of Scalar Conservation Laws with Curved Boundary
... Riemann initial-boundary value problem with curved ...Riemann initial value problem, weak entropy solutions of Riemann initial-boundary value problem are ...
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