Results 21 to 30 of about 1,164 (161)
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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New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions [PDF]
Abstract and Applied Analysis, 2015 We consider a boundary value problem of fractional integrodifferential equations with new nonlocal integral boundary conditions of the form:x(0)=βx(θ), x(ξ)=α∫η1x(s)ds, and0<θ<ξ<η<1. According to these conditions, the value of the unknown function at the left end pointt=0is proportional to its value at a nonlocal pointθwhile the value at ...
Alsaedi, Ahmed +2 more
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On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions [PDF]
Journal of Mathematics, 2020 In this paper, we study a coupled system involving Hilfer fractional derivatives with nonlocal integral boundary conditions. Existence and uniqueness results are obtained by applying Leray-Schauder alternative, Krasnoselskii’s fixed point theorem, and Banach’s contraction mapping principle. Examples illustrating our results are also presented.
Athasit Wongcharoen +2 more
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Size-Dependent Free Vibration of Axially Moving Nanobeams Using Eringen’s Two-Phase Integral Model
Applied Sciences, 2018 In this paper, vibration of axially moving nanobeams is studied using Eringen’s two-phase nonlocal integral model. Geometric nonlinearity is taken into account for the integral model for the first time.
Yuanbin Wang +3 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The boundary value problem for mixed type equation with nonlocal initial conditions in integral form is considered. The main result states that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation.
S. V. Kirichenko
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Mathematical Biosciences and Engineering, 2022 <abstract><p>This article presents the existence outcomes concerning a family of singular nonlinear differential equations containing Caputo's fractional derivatives with nonlocal double integral boundary conditions. According to the nature of Caputo's fractional calculus, the problem is converted into an equivalent integral equation, while
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Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions [PDF]
Arabian Journal of Mathematics, 2020 AbstractIn this paper, we study the existence and uniqueness of solutions for fractional differential equations with nonlocal and fractional integral boundary conditions. New existence and uniqueness results are established using the Banach contraction principle. Other existence results are obtained using O’Regan fixed point theorem and Burton and Kirk
Choukri Derbazi, Hadda Hammouche
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Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions [PDF]
Opuscula Mathematica, 2013 This paper studies the boundary value problem of nonlinear fractional differential equations and inclusions of order \(q \in (1,2]\) with nonlocal and integral boundary conditions.
Sotiris K. Ntouyas
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Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Yulin, Chen, Haibo, Zhang, Qiming
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Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation
Nonlinear Analysis, 2019 In this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution will be studied.
Ahmed El-Sayed, Reda Gamal
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