[PDF] Top 20 Poenostavljanje carinskega e-poslovanja : diplomsko delo

... solving fractional differential and fractional integro-differential equations different numerical techniques have been ...[1] fractional differential ... See full document

... Table 1 demonstrates the absolute errors acquired by the present strategy for different estimations of k, M at α = 1. The examination of numerical results for α = 0.75, α = 0.85, α = 0.95, α = 1 and the exact ... See full document

... and nonlinear integro-differential ...approximate solution for Fredholm integro-Differential equation and integral equation of the second kind in ...approximate ... See full document

... of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional ... See full document

... a solution to be deter- ...the differential and integral parts of a PFFIDE by their operational matrix representations and then convert it to a corresponding system of linear algebraic ...initial ... See full document

... Definition 2.3. A function x is called positive solution of problem (1.1) if x(t ) ≥ θ, ∀ t ∈ [0, 1] and it satisfies (1.1). Lemma 2.4. ([3]) If W ⊆C([a, b], X ) is bounded and equicon- tinuous, then Ψ( W (t)) is ... See full document

... of fractional calculus ( a mathematical branch investigating the properties of derivatives and integrals of non- integer orders) [8] , in varied fields, the solution techniques for fractional ... See full document

... a fractional order Fredholm – Volterra integro-differential equation with non-local and global boundary conditions by converting it to the corresponding well known ... See full document

... homogenous boundary conditions: u(a) = 0, u(b) = 0, a ≤ x ≤ b …(2) The organization of the rest of this article is as follows: in section 2 we present some essential definitions of the fractional ... See full document

... series solution follows immediately after using ...series solution may converge to an exact solution if such a so- lution ...series solution can be used for numerical ...solving ... See full document

... in numerical analysis; numerical solution of linear and nonlinear inte- gral, integro-differential, and differential equa- tions; numerical linear algebra; and ... See full document

... Note that the operator F : U → C([, ], R) is continuous and completely continuous. From the choice of U, there is no x ∈ ∂U such that x = λ F(x) for some λ ∈ (, ). Con- sequently, by the nonlinear alternative ... See full document

... The purposes of this article are: (i) to prove the positivity and uniqueness results for the problem, and (ii) to employ the lower and upper solutions method (see [14]) to construct two monotone sequences which converge ... See full document

... of fractional calculus in the nonlinear oscillation of earthquakes [11], viscoelastic materials [2], colored noise [22], solid mechanics [30], fluid-dynamic traffic [12], continuum and statistical mechanics ... See full document

... and nonlinear initial value problems, in electric circuit ...series solution of func- tional ...solve differential equa- tions, difference equations, differential difference equa- ... See full document

... solving nonlinear Volterra-Fredholm integro-differential equa- tions under initial conditions in terms of Bernstein polynomials on the interval ...The nonlinear part is ... See full document

... Many mathematical modelings of various physical phenomena contain FIDEs [6, 11, 36]. Generally speaking, the analytical solutions of most FIDEs are not easy to obtain. Therefore, seeking numerical solutions of ... See full document

... differential equations of fractional order have been addressed by several researchers with the sphere of study ranging from the theoretical aspects of existence and uniqueness of solutions to the analytic ... See full document

... This article studies the existence and uniqueness of solutions for impulsive semi- linear evolution equations of fractional order a Î (1, 2] with mixed boundary conditions. Some ... See full document

... VFIE solution. This approach obviates the need for the numerical differentiation matrices used in a related paper ...ical solution procedure, whose distinctive aspect is computation of the error in ... See full document