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Entropy, ISSN 1099-4300, 12/2013, Volume 15, Issue 12, pp. 5305 - 5323
In this paper, some theorems of the classical power series are generalized for the fractional power series. Some of these theorems are constructed by using... 
Fractional differential equations | Fractional power series | Caputo fractional derivative | PHYSICS, MULTIDISCIPLINARY | DIFFERENTIAL-EQUATIONS | TSALLIS | DIFFUSION | DERIVATIVES | ENTROPY
Journal Article
Neural Computing and Applications, ISSN 0941-0643, 10/2018, Volume 30, Issue 8, pp. 2595 - 2606
Journal Article
Mathematical Problems in Engineering, ISSN 1024-123X, 6/2015, Volume 2015, pp. 1 - 13
The reproducing kernel algorithm is described in order to obtain the efficient analytical-numerical solutions to nonlinear systems of two point, second-order... 
EQUATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | TURNING-POINT PROBLEMS | POSITIVE SOLUTIONS | Boundary value problems | Usage | Complex systems | Analysis | Kernels | Nonlinear dynamics | Algorithms | Approximation | Mathematical analysis | Mathematical models | Dynamical systems
Journal Article
Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 09/2018, Volume 34, Issue 5, pp. 1759 - 1780
Journal Article
Abstract and Applied Analysis, ISSN 1085-3375, 7/2013, Volume 2013, pp. 1 - 10
Journal Article
Discrete Dynamics in Nature and Society, ISSN 1026-0226, 12/2013, Volume 2013, pp. 1 - 12
In this article, a new analytical method has been devised to solve higher-order initial value problems for ordinary differential equations. This method was... 
LIENARD EQUATION | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DECOMPOSITION METHOD | MULTIDISCIPLINARY SCIENCES | EXPLICIT EXACT-SOLUTIONS | DYNAMICS | Boundary value problems | Convergence (Mathematics) | Research | Mathematical research | Series, Taylor's | Construction
Journal Article
Abstract and Applied Analysis, ISSN 1085-3375, 09/2012, Volume 2012, pp. 1 - 16
This paper investigates the numerical solution of nonlinear Fredholm-Volterra integro-differential equations using reproducing kernel Hilbert space method. The... 
SYSTEM | BOUNDARY-VALUE-PROBLEMS | REPRESENTATION | MATHEMATICS, APPLIED | ALGORITHM | Studies | Models | Algorithms | Finite element analysis | Fluid dynamics | Intervals | Kernels | Approximation | Mathematical analysis | Exact solutions | Nonlinearity | Mathematical models | Derivatives
Journal Article