# Initial value problems

## Top PDF Initial value problems:

### Approximate solutions of general second–order initial value problems using differential evolution

... secondorder initial value ...firstorder initial value problem was computed via the combination of collocation method (finite elements) and genetic algo- rithms by the author in ...secondorder ...

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### Existence uniqueness of solutions for fuzzy nabla initial value problems on time scales

... boundary value problems for dynamic equations on time scales were studied in [4] and ...dynamic initial value problems using lower and upper solutions were studied by ...

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### Series Solutions Of Fractional Initial-Value Problems By Q-Homotopy Analysis Method

... In this paper, the q-homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo’s sense. Exact ...

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### Picard iterative processes for initial value problems of singular fractional differential equations

... the initial value problems of fractional diﬀerential equations are discussed and new criteria on local existence and uniqueness of solutions are ...the problems, but we also establish ...

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### Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations

... the initial value problems of fractional evolution equations are proved under some appropriate conditions by using a fantastic property of the Mittag–Leﬄer ...the initial value ...

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### Time Spectral Solution of Initial Value Problems—Subdomain Approach

... of initial-value ...of problems with several time scales, where one is primarily interested in the long time scale ...for problems of sta- bility, fluctuations and confinement in fusion plasma ...

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### A nonlinear computational method for the solution of initial value problems for ordinary differential equations

... It is a documented fact that mathematical formulation of physical phenomena in many diverse fields such as electrical engineering, control theory, medicine and even in biology often leads to initial value ...

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### Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities

... In this paper, the standard homotopy analysis method was applied to initial value problems of the second order with some types of discontinuities, for both linear and nonlinear cases. To show the ...

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### A MODIFICATION OF ARTIFICIAL BEE COLONY ALGORITHM FOR SOLVING INITIAL VALUE PROBLEMS

... In this work, we structure a Feedforward Neural Network (FNN)in order to get the solution of Initial Value Problems (IVPs). The output of the network depends on the trial function, which satisfies ...

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### On the solvability of initial value problems for nonlinear implicit difference equations

... Our aim is twofold. First, we propose a natural definition of index for linear nonau- tonomous implicit diﬀerence equations, which is similar to that of linear diﬀerential- algebraic equations. Then we extend this index ...

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### A Spectral Method in Time for Initial Value Problems

... of initial value partial differential equations is ...stability problems within ideal and resistive magnetohydrodynamics (MHD) are ...advanced initial value problems in fluid ...

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### Impulsive initial value problems for a class of implicit fractional differential equations

... impulsive initial value problems for a class of implicit fractional differential equations involving the Caputo fractional derivative of order β ∈ (1, ...

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### A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations

... Abstract. In this article, we developed a new numerical approach which is mainly concentrates to solve some complicated initial value problems of ordinary differential equations. The complete ...

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### The convergence estimates for Galerkin wavelet solution of periodic pseudodifferential initial value problems

... Using the discrete Fourier transform and Galerkin-Petrov scheme, we get some results on the solutions and the convergence estimates for periodic pseudodiﬀerential initial value problems.[r] ...

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### Solving Initial Value Problems by Flower Pollination Algorithm

... consider Initial Value Problems (IVPs) in ordinary differential equations (ODEs) as an optimization problem, solved by using a meta-heuristic algorithm which is considered as an alternative way to ...

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### Optimizing Time Spectral Solution of Initial Value Problems

... the problems to be solved typically are causal, the method is acausal in the sense that the time dependence is calculated by a global mini- mization procedure (the weighted residual formalism) acting on the time ...

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### Basic theory of initial value problems of conformable fractional differential equations

... In this subsection, we establish some criteria for the global existence, extension, bound- edness, and stabilities of solutions to the local initial value problem. By Lemmas 2.1 and 2.2, the initial ...

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### Chapter 5. Methods for ordinary differential equations. 5.1 Initial-value problems

... Problems for which λ has a very large, negative real part are called stiff. Physically they are very stable, but they pose numerical problems for ex- plicit methods since the region of stability does not ...

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### Initial value problems for fractional differential equations involving Riemann-Liouville derivative

... Existence results obtained by Yaker and Koksal are improved for the class of continuous functions. Monotone method coupled with lower and upper solutions is developed for the initial value problem (1.1) − ...

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### On the uniqueness of singular solutions to boundary initial value problems in linear elastodynamics

... Working within the framework of the linearized dynamical theory of thermoelasticity, Dafermos [9 J established the existence, uniqueness and asymptotic stability of "generalized solution[r] ...

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