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Fractional Langevin Equations with Nonlocal Integral Boundary Conditions
Mathematics, 2019 In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions.
Ahmed Salem +2 more
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Elastostatics of Bernoulli–Euler Beams Resting on Displacement-Driven Nonlocal Foundation
Nanomaterials, 2021 The simplest elasticity model of the foundation underlying a slender beam under flexure was conceived by Winkler, requiring local proportionality between soil reactions and beam deflection.
Marzia Sara Vaccaro +3 more
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On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 Differential equations with nonlocal boundary conditions are used to model a number of physical phenomena encountered in situations where data on the boundary cannot be measured directly. This study explores numerical solutions to elliptic, parabolic and
Imran Aziz +2 more
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Lietuvos Matematikos Rinkinys, 2021 In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
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Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved.
Dovlet M. Dovletov
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Closed-Form Solution of the Bending Two-Phase Integral Model of Euler-Bernoulli Nanobeams
Algorithms, 2022 Recent developments have shown that the widely used simplified differential model of Eringen’s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the pure integral model and the two ...
Efthimios Providas
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Stationary problems with various nonlocal boundary conditions
Lietuvos Matematikos Rinkinys, 2003 In this paper we investigate one-dimensional stationary differential problems with various nonlocal boundary conditions and finite difference schemes for them.
Artūras Štikonas +2 more
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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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Investigation of the spectrum for the Sturm-Liouville problem with one integral boundary condition
Nonlinear Analysis, 2010 In this paper, the Sturm–Liouville problem with one classical first type boundary condition and other nonlocal integral boundary conditions of two cases is investigated.
A. Skučaitė +3 more
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Nonlinear Analysis, 2023 We study the existence of multiple positive solutions for a nonlinear third-order differential equation subject to various nonlocal boundary conditions.
Sergey Smirnov
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