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Fixed Point Results for the Fractional Nonlinear Problem with Integral Boundary Condition
In this article, we study an integral boundary condition problem. In fact, we consider a new nonlinear fractional integro-differential equation with...
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Vallée-Poussin theorem for fractional functional differential equations with integral boundary condition
This research paper focuses on the study of a Riemann-Liouville fractional functional differential equation and a linear continuous operator acting...
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A HDG Method for Elliptic Problems with Integral Boundary Condition: Theory and Applications
In this paper, we address the study of elliptic boundary value problems in presence of a boundary condition of integral type (IBC) where the...
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Exponentially Fitted Robust Scheme for the Solution of Singularly Perturbed Delay Parabolic Differential Equations with Integral Boundary Condition
In this paper, an exponentially fitted finite difference method is developed to solve singularly perturbed delay parabolic partial differential...
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Uniformly Convergent Numerical Scheme for Solving Singularly Perturbed Parabolic Convection-Diffusion Equations with Integral Boundary Condition
The singularly perturbed parabolic convection-diffusion equations with integral boundary conditions and a large negative shift are studied in this...
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Uniqueness of Solution of Boundary-Value Problem with Integral Condition for Mixed-Type Equation with Bessel Operator
AbstractA boundary-value problem with nonlocal integral condition is studied for a mixed-type equation with Bessel operator in a rectangular domain....
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On the Existence and Uniqueness of the Solution of a Nonlinear Fractional Differential Equation with Integral Boundary Condition
This study focuses on investigating the existence and uniqueness of a solution to a specific type of high-order nonlinear fractional differential...
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Green’s function and existence of solutions for a third-order boundary value problem involving integral condition
We prove the existence of at least one nontrivial solution for a third-order boundary value problem with an integral condition under different growth...
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Direct and Inverse Initial Boundary Value Problems for Heat Equation with Non-Classical Boundary Condition
AbstractIn this paper we consider solvability of an initial boundary value problem for the heat equation with a dynamic type boundary condition....
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Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian
A generalized boundary integral equation method for boundary value problems of two-dimensional isotropic lattice Laplacian is proposed in this paper....
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A uniformly convergent difference method for singularly perturbed parabolic partial differential equations with large delay and integral boundary condition
A class of singularly perturbed parabolic partial differential equations with a large delay and an integral boundary condition is studied. The...
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Initial–Boundary Value Problems for Homogeneous Parabolic Systems in a Semibounded Plane Domain and Complementarity Condition
AbstractWe consider initial–boundary value problems for homogeneous parabolic systems with coefficients satisfying the double Dini condition with...
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A non-uniform Haar wavelet method for a singularly perturbed convection–diffusion type problem with integral boundary condition on an exponentially graded mesh
In this article, we present a numerical approach based on non-uniform Haar wavelets on an exponentially graded mesh to approximate the solution of a...
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Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs
We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial...
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Error estimate and stability analysis on the study of a high-order nonlinear fractional differential equation with Caputo-derivative and integral boundary condition
In this work, we consider a high-order nonlinear fractional differential equation with Caputo-derivative and the boundary condition of integral type...
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Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation
We consider a nonlocal problem with an integral condition for a loaded third order pseudoparabolic equation in a rectangular domain. We prove the...
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A Novel Boundary Integral Formulation for the Biharmonic Wave Scattering Problem
This paper is concerned with the cavity scattering problem in an infinite thin plate, where the out-of-plane displacement is governed by the...
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An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition
In this paper, a linear singularly perturbed Fredholm integro-differential initial value problem with integral condition is being considered. On a...
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Triple Mixed Integral Transformation and Applications for Initial-Boundary Value Problems
In this paper, we establish a new integral transformation method for solving the initial-boundary value problems of the partial differential...
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Maxwell–Stokes system with Robin boundary condition
This paper concerns the Maxwell–Stokes system with either curl-Robin boundary condition or mixed curl-Robin boundary condition. While the curl-Robin...