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Fractional Langevin Equations with Nonseparated Integral Boundary Conditions
Advances in Mathematical Physics, 2020 In this paper, we discuss the existence of solutions for nonlinear fractional Langevin equations with nonseparated type integral boundary conditions.
Khalid Hilal +3 more
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On the integration of the diffusion equation with boundary conditions. [PDF]
Transactions of the American Mathematical Society, 1961 the initial-value problem is shown to have a unique positivity preserving solution; here an1= aiini, bn = bini (the ni being components of the outer normal to A), oa, r > 0, and a2 +r2 = 1. Solutions in the form of strongly continuous semi-groups of positive operators (see [4]) are obtained in the Lp spaces over A with weight factor e, 1 ?_ _ 2.
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory ...
Bashir Ahmad, Sotiris Ntouyas
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Singular Integral Neumann Boundary Conditions for Semilinear Elliptic PDEs
Axioms, 2021 In this article, we discuss semilinear elliptic partial differential equations with singular integral Neumann boundary conditions. Such boundary value problems occur in applications as mathematical models of nonlocal interaction between interior points ...
Praveen Agarwal +2 more
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Distribution theory for Schr\"odinger's integral equation [PDF]
, 2015 Much of the literature on point interactions in quantum mechanics has focused on the differential form of Schr\"odinger's equation. This paper, in contrast, investigates the integral form of Schr\"odinger's equation.
Albeverio S. +8 more
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On the uniqueness of linear convection–diffusion equations with integral boundary conditions
Comptes Rendus. Mathématique, 2023 We investigate a class of convection–diffusion equations in an expanding domain involving a parameter, where we consider integral boundary conditions that depend non-locally on unknown solutions.
Lee, Chiun-Chang +2 more
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Integrable boundary conditions and modified Lax equations [PDF]
Nuclear Physics B, 2008 We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable ...
Avan, Jean, Doikou, Anastasia
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Advances in Difference Equations, 2018 In this paper, we discuss a nonlinear fractional order boundary value problem with nonlocal Erdélyi–Kober and generalized Riemann–Liouville type integral boundary conditions. By using Mawhin continuation theorem, we investigate the existence of solutions
Qiao Sun, Shuman Meng, Yujun Cui
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Integrable open boundary conditions for XXC models [PDF]
Journal of High Energy Physics, 1998 The XXC models are multistate generalizations of the well known spin 1/2 XXZ model. These integrable models share a common underlying su(2) structure. We derive integrable open boundary conditions for the hierarchy of conserved quantities of the XXC models .
Arnaudon, Daniel, Maassarani, Ziad
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Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions
Mathematical Modelling and Analysis, 2015 In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions ...
Ilkay Yaslan Karaca, Fatma Tokmak Fen
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