Results 31 to 40 of about 528,042 (304)

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 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, Sytnyk, Dmytro, Vasylyk, Vitalii   +2 more
core   +3 more sources

Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation [PDF]

, 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.
Lisok, Aleksandr L., Shapovalov, Aleksandr V., Trifonov, Andrey Yu.   +2 more
core   +2 more sources

Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions

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, Xinguang Zhang, Lishan Liu, Yonghong Wu, Yujun Cui   +4 more
semanticscholar   +1 more source

Nonlocal problems for controllability of functional differential equation

Journal of Physics: Conference Series, 2021
Abstract The present work addresses the nonlocal problems for a controllability of functional differential equation in Banach spaces. Sufficient conditions are derived by using Schaefer’s fixed point and semigroup theory.
C Selvamani, C Loganathan
openaire   +2 more sources

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, Gilardi, Gianni, Sprekels, Jürgen   +2 more
core   +3 more sources

Effects of Long-Range Nonlinear Interactions in Double-Well Potentials [PDF]

, 2010
We consider the interplay of linear double-well-potential (DWP) structures and nonlinear longrange interactions of different types, motivated by applications to nonlinear optics and matter waves.
Akhmediev, Albiez, Albuch, Ananikian, Asad-uz-Zaman, B.A. Malomed, Baizakov, Bang, Birnbaum, Birnbaum, Briedis, C. Wang, Cambournac, Chu, Cuevas, D.J. Frantzeskakis, Deiglmayr, Dounas-Frazer, Giovanazzi, Gligorić, Griesmaier, Griesmaier, Griesmaier, Grillakis, Kapitula, Kevrekidis, Kirr, Kivshar, Królikowski, Köhler, Lahaye, Lahaye, Lang, Löw, Mahmud, Maimistov, Malomed, Marinescu, Mayteevarunyoo, Mazets, Morsch, Nath, Nath, Ospelkaus, Ostrovskaya, P.G. Kevrekidis, Paré, Pedri, Pethick, Pitaevskii, Raghavan, Raghavan, Rotschild, Sacchetti, Sage, Shchesnovich, Sinha, Smerzi, Snyder, Stuhler, Sulem, Theocharis, Tikhonenkov, Tikhonenkov, Vakhitov, Wang, Werner, Wyller, Xiong, Zibold, Ziń   +70 more
core   +3 more sources

Two numerical methods for fractional partial differential equation with nonlocal boundary value problem

Advances in Differential Equations, 2018
The exact solution of fractional telegraph partial differential equation of nonlocal boundary value problem is obtained. The theorem of stability estimates is presented for this equation.
Mahmut Modanlı
semanticscholar   +1 more source

Grassmannian flows and applications to nonlinear partial differential equations

, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo, A Pressley, C Martin, C Pöppe, C Pöppe, C Pöppe, C Pöppe, CA Tracy, FJ Dyson, G Segal, G Wilson, HP McKean, I. Karambal, J Deng, J Schiff, JC Alexander, K Furutani, M Beck, M Reed, M Sato, M. I. Zelikin, MA Guest, Margaret Beck, MJ Ablowitz, NF Britton, Ole Christensen, P Balazs, P Griffiths, PG Drazin, Philippe Blanchard, R Hermann, RK Dodd, RM Miura, RW Brockett, S Bian, T Miwa, V Ledoux, V Ledoux, VE Zakharov, W Bauhardt   +39 more
core   +1 more source

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, Lee, Young-Ran, Ried, Tobias, Zharnitsky, Vadim   +3 more
core   +3 more sources