Non-Local Boundary Conditions
The Study of Some Boundary Value Problems Including Fractional Partial Differential Equations with non-Local Boundary Conditions
... Abstract. In this paper, we consider some boundary value problems (BVP) for fractional order partial differential equations (FPDE) with non-local boundary conditions. The solutions of ...
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Reaction diffusion problems under non local boundary conditions with blow up solutions
... under non-local boundary ...certain conditions on the data the blow-up will occur at some finite time and when the blow-up does occur, lower and upper bounds are ...
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Detecting the location of the boundary layers in singular perturbation problems with general linear non-local boundary conditions
... of non-local boundary con- dition to local boundary ...given non- local boundary conditions and the resulted nec- essary ...the boundary and initial ...
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Applications of adomian decomposition method for wave equations
... equations with non-local boundary conditions. If the equations considered have a solution in terms of the series expansion of known function, this powerful method catches the exact solution. ...
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Homotopy Perturbation Method for Solving Some Initial Boundary Value Problems with Non Local Conditions
... initial boundary value problems with non local boundary conditions are ...and non linear initial boundary value problems with non classical ...
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Local-Non Local Fractional Differential Equation In Benach Space
... Applied problems require definitions of fractional derivatives allowing the utilization of physically interpretable initial conditions, which contain y (0) , y ' (0) ., etc. the same requirements of ...
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APPLICATION OF NEW ITERATIVE METHOD FOR SOLVING LINEAR AND NONLINEAR INITIAL BOUNDARY VALUE PROBLEMS WITH NON LOCAL CONDITIONS
... with non local conditions, (Cheniguel, 2012; Cheniguel, 2011; Cheniguel & Ayadi (2010), Siddique, 2010; Rahman, 2009) ...with non classical ...
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Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N≥3)
... the boundary of and t ∗ the possible blow-up time, p, q > ...nonlinear boundary conditions: homo- geneous Dirichlet boundary conditions or homogeneous Neumann boundary ...
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Non-Newtonian polytropic filtration systems with nonlinear boundary conditions
... tropic conditions. In this case, the equations in (1.1) are called the non-Newtonian polytropic filtration equations which have been intensively studied (see [1-4] and the references ...the local ...
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On some boundary value problems with non-local and periodic conditions
... In this work, we concern non-local and periodic boundary value problems. We will prove the existence of at least one solution of these problems such that the functions satisfy the growth condition. ...
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A MIXED PARABOLIC WITH A NON-LOCAL AND GLOBAL LINEAR CONDITIONS
... the boundary are zero, the other one is the maximal operator in which there is no prescribed boundary ...related boundary value problem for an arbitrarily chosen operator in ...considered ...
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Eigenfunction expansion of the Sturm-Liouville equation with a non-local boundary condition
... For the solution of problem (1.1) when ρ (x) 6= 1 under different conditions the spectral expansion formula was investigated with different methods in [7]-[9]. In present work we find the eigenfunction expansion ...
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Existence and Uniqueness of Solution for a Fractional Order Integro Differential Equation with Non Local and Global Boundary Conditions
... “Sufficient Conditions for the Reduction of a BVP for PDE with Non-Local and Global Boundary Conditions to Fredholm Integral Equa- tions (on a Rectangular Domain),” Applied Mathematics ...
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Non-local Boundary Condition Steklov Problem for A Laplace Equation in Bounded Domain
... the local boundary conditions the Dirichlet (first kind), Neuman (second kind) and at last special case of Poincare (third kind) boundary value problems were considered for a Laplace eq- ...
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Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient
... where ⊂ R N is a bounded domain with a smooth boundary ∂, is the Laplace op- erator, and t ∗ is the possible blow-up time. By the maximum principle, it follows that u(x, t) ≥ in the time interval of existence. ...
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... Initial Boundary Value Problems with Non Local Conditions, Proceedings of the World Congress on Engineering and Computer Science 2013 Vol I WCECS 2013, 23-25 October, 2013, San Francisco, USA, ...
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A Problem on Eigenvalues of Differential Operator of the Third Order with Non-Local Boundary Value Conditions
... of boundary value problems, generated by ordinary differential expressions on a finite interval with complex entry of the spectral parameter, it is reduced to the study of regularized sums of roots of entire ...
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Numerical modeling and sensitivity analysis of seawater intrusion in a dual permeability coastal karst aquifer with conduit networks
... Since simulating seawater intrusion in karst aquifers is challenging, sensitivity analysis is important to provide guidelines for understanding the hydrology model, data col- lection, and groundwater resources ...
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The political identities of neighbourhood planning in England
... the boundary in the work of the political philosopher Chantal Mouffe (1993; 2005), to theorise the unsettled accommodation achieved between participatory, representative and market models of democracy in ...
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Local exact controllability for the 2-D Boussinesq equations with the Navier slip boundary conditions
... Let us assume similarly to section 1 that a solution ( ˆ ψ(t, x), θ(t, x))∈ ˆ W 1,2(2) (Q)× W 1,2(0) (Q) of equation (2.2), (2.3) with u(t, x) ≡ 0 and right side (g, h) ∈ (L 2 (Q)) 2 is given. Moreover, the function ( ˆ ...
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