Results 41 to 50 of about 539,609 (355)
Existence of the solution to a nonlocal-in-time evolutional problem [PDF]
, 2014 This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ...
Makarov, Volodymyr +2 more
core +3 more sources
Boundary Value Problems, 2018 In this paper, we focus on the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary conditions.
Jianxin He +4 more
semanticscholar +1 more source
Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations [PDF]
Mathematical methods in the applied sciences, 2020 In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal fractional integral boundary conditions.
Ashwini D. Mali, Kishor D. Kucche
semanticscholar +1 more source
Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions
Journal of Mathematical Analysis and Applications, 2000 The authors consider the initial value problem for an abstract nonlinear ordinary differential equation of first order in some Banach space. The initial condition, which is a nonlocal condition, is of the type \(y(0)+ g(y)=y_0\), where \(g\) is some continuous function.
Benchohra, M., Ntouyas, S. K.
openaire +2 more sources
Numerical analysis of some partial differential equations with fractal-fractional derivative
AIMS Mathematics, 2023 In this study, we expanded the partial differential equation framework to which fractal-fractional differentiation can be applied. For this, we employed the generalized Mittag-Leffler function, and the fractal-fractional derivatives based on the power ...
Nadiyah Hussain Alharthi +2 more
doaj +1 more source
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential [PDF]
, 2016 This paper is concerned with a distributed optimal control problem for a nonlocal phase field model of Cahn-Hilliard type, which is a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of diffusion.
Colli, Pierluigi +2 more
core +3 more sources
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities [PDF]
, 2017 A nonlinear Schr\"odinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises naturally in modeling fiber-optics communication systems with periodically ...
Hundertmark, Dirk +3 more
core +3 more sources
Journal of Function Spaces, 2018 We deal with a singular nonlocal fractional differential equation with Riemann-Stieltjes integral conditions. The exact iterative solution is established under the iterative technique. The iterative sequences have been proved to converge uniformly to the
J. Mao, Zengqin Zhao, Chenguang Wang
semanticscholar +1 more source
On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
Modelling and Simulation in Engineering, 2016 Evaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation ...
Luciano Feo, Rosa Penna
doaj +1 more source
Second order systems with nonlinear nonlocal boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin +2 more
doaj +1 more source