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nonlinear coupled differential equations

Vol 2, No 8 (2011)

Vol 2, No 8 (2011)

... linear coupled differential equations, but there is no particular rule to obtain exact solution for nonlinear coupled differential ...solved coupled nonlinear ...

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GROUP OF RECURRENT NEURAL NETWORKS

GROUP OF RECURRENT NEURAL NETWORKS

... of nonlinear coupled differential equations is bounded and besides trivial equilibrium the network has a unique equilibrium ...the nonlinear coupled differential ...

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Positive Solutions for Singular Boundary Value Problems of Coupled Systems of Nonlinear Differential Equations

Positive Solutions for Singular Boundary Value Problems of Coupled Systems of Nonlinear Differential Equations

... ordinary differential equations have been studied extensively (see ...a coupled system of differential ...on coupled systems of second-order differential equations, we ...

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Optimal filtering for systems governed by coupled ordinary and partial differential equations

Optimal filtering for systems governed by coupled ordinary and partial differential equations

... -7- In Chapter IV an optimal filter is derived for a completely general class of stochastic systems governed by coupled nonlinear ordinary and partial differential equations of either fi[r] ...

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On using topological degree theory to investigate a coupled system of non linear hybrid differential equations

On using topological degree theory to investigate a coupled system of non linear hybrid differential equations

... By the use of topological degree theory, we have developed sufficient conditions for the existence of at least one solution to a coupled system of nonlinear hybrid differential equations with ...

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Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses

Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses

... ential equations. So the study of fractional differential equations has attracted the eyes of many ...differential coupled system with fractional order ...

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Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations

Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations

... where F v w G v w H v w I v w J v w n ( , , ) n ( , , ) n ( , , ) ( n , , ) ( n , ) and K v w n ( , ) are Adomian polynomials they represent nonlinearities arising in above system [Equation (4.26), Equation (4.27) and ...

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Iterative scheme to a coupled system of highly nonlinear fractional order differential equations

Iterative scheme to a coupled system of highly nonlinear fractional order differential equations

... In this article, we have successfully developed an iterative scheme for maximal and minimal solutions to a coupled system of highly nonlinear fractional order differential equations. Where the ...

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Solvability of nonlocal boundary value problem for a class of nonlinear fractional differential coupled system with impulses

Solvability of nonlocal boundary value problem for a class of nonlinear fractional differential coupled system with impulses

... It is well known that the effects of a pulse are inevitable in many phenomena and pro- cesses. For example, in the population dynamics systems, there are abrupt changes of pop- ulation size due to the effects such as ...

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The combined of Homotopy analysis method with new transform for nonlinear partial differential equations

The combined of Homotopy analysis method with new transform for nonlinear partial differential equations

... and nonlinear ordi- nary partial differential ...method coupled with Laplace transform ([1], [2], [8], [14], [18], [19]), homotopy analysis Sumudu trans- form method ([3], [16], [17]), homotopy ...

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Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

... mann-Liouville fractional differentiation. Using the properties of the Green function, they gave some multiple positive solutions for singular and nonsingular boundary value problems, and also they gave uniqueness of ...

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Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations

Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations

... of coupled fractional differential systems involving the Caputo type fractional ...the coupled fractional differential system depend on i the fractional derivatives of lower orders, ii the unknown functions ...

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Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems

Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems

... solving nonlinear partial differential ...of nonlinear partial differential equations such as a new coupled ZK equation as new hierarchy of nonlinear evolution ...

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Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

... In this paper, the existence and multiplicity of positive solutions for coupled system of nonlinear fractional BVPs with negatively perturbed terms, have been studied. Employing fixed point technique, ...

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Multi point boundary value problems for a coupled system of nonlinear fractional differential equations

Multi point boundary value problems for a coupled system of nonlinear fractional differential equations

... a coupled system of nonlinear fractional differential ...a coupled system of nonlinear fractional differential equa- tions ...a coupled system of nonlinear fractional differential ...

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On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro multipoint boundary conditions

On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro multipoint boundary conditions

... Fractional-order differential systems constitute the mathematical models of many real world problems. Examples include disease models [1–3], anomalous diffusion [4, 5], syn- chronization of chaotic systems [6, 7], ...

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Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters

Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters

... the nonlinear coupled system (1), it is chal- lenging to deal with the existence of multiple PSs for BVPs ...the nonlinear coupled system by constructing the associated Green’s ...the ...

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2. Existence of solution to a coupled  system of hybrid fractional differential equations

2. Existence of solution to a coupled system of hybrid fractional differential equations

... order differential equations are available in various disciplines of sci- ence and technology, we refer to [4, 6, 15, 19, 22, 25] for some of the ...These equations have solutions under certain ...

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New existence results for a coupled system of nonlinear differential equations of arbitrary order

New existence results for a coupled system of nonlinear differential equations of arbitrary order

... The differential equations of fractional order arise in many scientific disciplines, such as physics, chemistry, control theory, signal processing and ...these equations, (see [3, 4, 13]). On the ...

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Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions

Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions

... of nonlinear coupled fractional differential equations and nonlocal coupled integro-multistrip-multipoint boundary ...the nonlinear functions involved in the given problem, we ...

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