[PDF] Top 20 Asymptotic Behavior of Solutions of a Singularly Perturbed Differential System of Fractional Order
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Asymptotic Behavior of Solutions of a Singularly Perturbed Differential System of Fractional Order
... Abstract. In this paper, we consider the initial problem for systems of differential equations of fractional order with a small parameter for the derivative. Produced regularization problem and is ... See full document
6
Asymptotic Estimates for Second Order Parameterized Singularly Perturbed Problem
... parameterized singularly perturbed second order nonli- near ordinary differential equation is ...layer behavior of the solution and its first and second derivatives have been ... See full document
6
Systems of Singularly Perturbed Fractional Integral Equations II
... by solutions of singularly perturbed Volterra equations with weakly sin- gular kernels resembles the asymptotic behaviour of higher transcendental functions of fractional ...calculus. ... See full document
6
Method of Boundary Layer Function to Solve the Boundary Value Problem for a Singularly Perturbed Differential Equation of the Order Two with a Turning Point
... of asymptotic solutions of the singularly perturbed equations the method of matching outer and inner solution is applied [10-16] and the rule of matching of the outer and inner solution was ... See full document
6
Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method
... with solutions that show quick oscillations are ...solving singularly perturbed delay differential equations based on finite difference scheme, fitted mesh and B-spline method, piecewise ... See full document
10
A family of singular ordinary differential equations of the third order with an integral boundary condition
... and asymptotic esti- mates of solutions for third order ordinary differential equations with singularly perturbed boundary value problems, which depend on a small positive parameter, ... See full document
11
Uniform Difference Scheme on the Singularly Perturbed System
... highest order derivative terms are said to be singularly perturbed and normally boundary layers occur in their ...layer behavior of the ... See full document
7
Application of Parameter Expansion Method for Nonlinear Singularly Perturbed Boundary Value Problems (BVP’S) S. A. Egbetade, I. A. Salawu, S. A. Agboluaje
... singularly perturbed problem to a system of ordinary differential equations for which the solutions are relatively easier to ...ordinary differential equations are reduced to ... See full document
5
Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
... from fractional calculus and then, considering fixed point theory, we represent the Leray − Schauder fixed point index theorem and some related ...Liouville fractional integral of order α > 0 for ... See full document
16
Multiple positive solutions for perturbed nonlinear fractional differential system with two control parameters
... Riemann–Liouville fractional derivatives of order α – 1, ...dimensional fractional problem has been obtained under an asymptotical behavior of the nonlinear term at ... See full document
20
Regularized Asymptotics of Solutions for Systems of Singularly Perturbed Differential Equations of Fractional Order
... = (16) where t ∈ [0, ] T , T < 1 , ε > − 0 small parameter. Eigen values of the matrix A t ( ) of this system are numbers λ 1 ( ) t ≡ − i , λ 2 ( ) t ≡ + i . The corresponding eigenvectors c t j ( ) and ... See full document
8
EXISTENCE OF POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF HIGHER ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS
... Abstract. The aim of this paper is to establish the existence of at least one positive solution for a coupled system of higher order two-point fractional order boundary value problems under ... See full document
11
On the oscillation and asymptotic behavior for a kind of fractional differential equations
... The paper is organized as follows. In the next section, we present some basic definitions of the fractional differential and integral operators, and provide some necessary lemmas. In Section , we mainly use the ... See full document
11
A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem
... examine solutions of ...where solutions change rapidly (see Figure ...layer solutions in an efficient way, one has to use locally refined meshes that are fine and anisotropic in layer regions and ... See full document
25
A solution decomposition for a singularly perturbed fourth-order problem
... from solutions of third-order problems) and layer parts is the method of asymptotic ...of asymptotic expansions, we consider a reduced problem, where formally ε is set to 0 and certain ... See full document
22
Asymptotic behavior of increasing positive solutions of second order quasilinear ordinary differential equations in the framework of regular variation
... exact asymptotic behavior at infinity of the solutions under the appropriate assumptions for the coefficients of an ...the solutions, as well as their asymptotic behavior at ... See full document
22
Asymptotic behavior of an odd-order delay differential equation
... lems in natural sciences, technology, and automatic control, cf., for instance, Hale []. In particular, (.) may be viewed as a special case of a more general class of higher-order dif- ferential equations with ... See full document
10
On the asymptotic behavior of fourth order functional differential equations
... The aim of this work is to study asymptotic properties of a class of fourth-order delay differential equations. Our results in this paper not only generalize some previous results, but also improve the ... See full document
13
7. On solutions of a system of higher-order nonlinear fractional differential equations
... A system of higher-order nonlinear fractional differential equa- tions is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the system is ... See full document
10
On slow oscillation and nonoscillation in retarded equations
... Oscillation, Nonoscillation and Growth of Solutions of Nonlinear Functional Differential Equations of Arbitrary Order, J.. Asymptotic Properties of Solutions of Functional Differential E[r] ... See full document
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