Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
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Nonlocal Inverse Problem for a Pseudohyperbolic- Pseudoelliptic Type Integro-Differential Equations [PDF]
Axioms, 2020 The questions of solvability of a nonlocal inverse boundary value problem for a mixed pseudohyperbolic-pseudoelliptic integro-differential equation with spectral parameters are considered.
T. K. Yuldashev
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Symmetries and reductions of integrable nonlocal partial differential equations [PDF]
Symmetry, 2019 In this paper, symmetry analysis is extended to study nonlocal differential equations, in particular two integrable nonlocal equations, the nonlocal nonlinear Schr\"odinger equation and the nonlocal modified Korteweg--de Vries equation.
Peng, Linyu
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Spike solutions to a nonlocal differential equation
Communications on Pure & Applied Analysis, 2005 In this paper we consider a nonlocal differential equation, which is a limiting equation of one dimensional Gierer-Meinhardt model. We study the existence of spike steady states and their stability. We also construct a single-spike quasi-equilibrium solution and investigate the dynamics of spike-like solutions.
C. Gui, Zhenbu Zhang
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On the nonlinear impulsive Ψ–Hilfer fractional differential equations [PDF]
Mathematical Modelling and Analysis, 2020 In this paper, we consider the nonlinear Ψ-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of solutions.
Kishor D. Kucche +2 more
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Mild Solutions for Fractional Differential Equations with Nonlocal Conditions [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang Li
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Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical asymptotics.
Aleksandr L. Lisok +2 more
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Nonlocal Symmetries for Time-Dependent Order Differential Equations [PDF]
Symmetry, 2018 A new type of ordinary differential equation is introduced and discussed, namely, the time-dependent order ordinary differential equations. These equations can be solved via fractional calculus and are mapped into Volterra integral equations of second kind with singular integrable kernel. The solutions of the time-dependent order differential equations
Andrei Ludu
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Vibration Characteristics of Magnetostrictive Composite Cantilever Resonator with Nonlocal Effect [PDF]
SensorsTaking the nonlocal effect into account, the vibration governing differential equation and boundary conditions of a magnetostrictive composite cantilever resonator were established based on the Euler magnetoelastic beam theory. The frequency equation and
Yan Xu, Xinchun Shang, Ke Xu
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Existence and multiplicity of positive solutions for a nonlocal differential equation
Boundary Value Problems, 2011 In this paper, the existence and multiplicity results of positive solutions for a nonlocal differential equation are mainly considered.
Wang Fanglei, An Yukun, Wang Yunhai
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