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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ON AN INITIAL AND NONLOCAL INTEGRAL BOUNDARY CONDITION FOR A MIXED TYPE EQUATION [PDF]
, 2020 Abstract. On an initial and boundary value problem for a mixed type equation is considered. A uniqueness theorem for the solvability of this problem is shown and constructed the solution as the sum of Fourier series. The stability of the solution with respect to initial function is proved.
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Nonlocal boundary value hyperbolic problems involving integral conditions [PDF]
Boundary Value Problems, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ashyralyev, Allaberen, Aggez, Necmettin
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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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Differential Equations and Dynamical Systems, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guezane-Lakoud, Assia +1 more
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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 Fučík type spectrum for problem with integral nonlocal boundary condition
Nonlinear Analysis: Modelling and Control, 2019 The Fučík equation x' '= -μ x+λ x- with two types of nonlocal boundary value conditions are considered. The Fučík type spectrum for both problems are constructed. The visualization of the spectrum for some values of parameter γ is provided.
Natalija Sergejeva, Sigita Pečiulytė
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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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Well-posedness of elliptic-parabolic differential problem with integral condition
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, we study a class of nonlocal boundary value problems for elliptic-parabolic equations subject to integral-type conditions. Such problems naturally emerge in various physical and engineering contexts, including diffusion processes in ...
O. Gercek
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