# Initial value problems

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

**initial**

**value**...firstorder

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**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

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**problems**for dynamic equations on time scales were studied in [4] and ...dynamic

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**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

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**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

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**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

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

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**value**...

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

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**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

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**value**...

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

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**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

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**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

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

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**value**partial differential equations is ...stability

**problems**within ideal and resistive magnetohydrodynamics (MHD) are ...advanced

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**problems**in fluid ...

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

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**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

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**problems**of ordinary differential equations. The complete ...

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

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### Solving Initial Value Problems by Flower Pollination Algorithm

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**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

**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

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**value**problem. By Lemmas 2.1 and 2.2, the

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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

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**value**problem (1.1) − ...

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

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