Results 21 to 30 of about 24,896,554 (306)
Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation [PDF]
, 2018 This paper obtains the dark, bright, dark-bright, dark-singular optical and singular soliton solutions to the nonlinear Schrödinger equation with quadratic-cubic nonlinearity (QC-NLSE), which describes the propagation of solitons through optical fibers ...
Yusuf, Abdullahi +3 more
core +1 more source
A Survey on Recent Results on Lyapunov-Type Inequalities for Fractional Differential Equations
Fractal and Fractional, 2022 This survey paper is concerned with some of the most recent results on Lyapunov-type inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions.
Sotiris K. Ntouyas +2 more
doaj +1 more source
On Nonlinear Vekua Type Equations [PDF]
, 2006 Nonlinear Vekua-Bers type differential equations are studied on the base of certain methods of nonlinear analysis.
S. V. Rogosin, Rogosin, S. V.
core +1 more source
Open Mathematics, 2017 In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon +3 more
doaj +1 more source
Mathematics, 2022 In this paper, we establish existence and uniqueness results for single-valued as well as multi-valued (k,ψ)-Hilfer boundary value problems of order in (1,2], subject to nonlocal integro-multi-point boundary conditions.
Sotiris K. Ntouyas +2 more
doaj +1 more source
Foundations, 2023 In this paper, we study a coupled system of nonlinear proportional fractional differential equations of the Hilfer-type with a new kind of multi-point and integro-multi-strip boundary conditions.
Sotiris K. Ntouyas +2 more
doaj +1 more source
Complex Network Analysis and Nonlinear Dynamics [PDF]
, 2016 This chapter aims at reviewing complex network and nonlinear dynamical models and methods that were either developed for or applied to socioeconomic issues, and pertinent to the theme of New Economic Geography. After an introduction to the foundations of the field of complex networks, the present summary introduces some applications of complex networks
Varela, Luis M, ROTUNDO, Giulia
openaire +1 more source
Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions [PDF]
, 2020 In this work, we consider the chiral nonlinear Schrödinger equation in (2 + 1)-dimensions, which describes the envelope of amplitude in many physical media.
Tian, Shou-Fu +3 more
core +1 more source
On the optimality of some multi-point methods for finding multiple roots of nonlinear equation [PDF]
, 2016 This paper deals with the problem of determining the multiple roots of nonlinear equations, where the multiplicity of the roots is known. The paper contains some remarks on the optimality of the recently published methods [B. Liu, X.
Ralević, Nebojša M. M., Ćebić, Dejan
core +1 more source
System of fractional differential equations with Erdélyi-Kober fractional integral conditions
Open Mathematics, 2015 In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions.
Thongsalee Natthaphong +3 more
doaj +1 more source