Results 21 to 30 of about 1,810,923 (292)

Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments [PDF]

, 2018
The data recorded in optical fiber [1] and in hydrodynamic [2] experiments reported the pioneering observation of nonlinear waves with spatiotemporal localization similar to the Peregrine soliton are examined by using nonlinear spectral analysis.
Chabchoub, Amin, El, Gennady, Kibler, Bertrand, Randoux, Stephane, Suret, Pierre   +4 more
core   +4 more sources

On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions

Advances in Difference Equations, 2019
We study a coupled system of Caputo fractional differential equations with coupled non-conjugate Riemann–Stieltjes type integro-multipoint boundary conditions. Existence and uniqueness results for the given boundary value problem are obtained by applying
Ahmed Alsaedi, Bashir Ahmad, Ymnah Alruwaily, Sotiris K. Ntouyas   +3 more
doaj   +1 more source

Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives

Advances in Difference Equations, 2017
This paper studies a new class of boundary value problems of sequential fractional differential equations of order q ∈ ( 2 , 3 ] $q \in(2, 3]$ supplemented with nonlocal non-separated boundary conditions involving lower-order fractional derivatives ...
MS Alhothuali, Ahmed Alsaedi, Bashir Ahmad, Mohammed H Aqlan   +3 more
doaj   +1 more source

Analysis of output frequencies of nonlinear systems [PDF]

, 2007
In this paper, an algorithm is derived for the determination of the output frequency ranges of nonlinear systems, which extends previous results on the output frequencies of nonlinear systems to a more general situation.
Billings, S.A., Lang, Z.Q., Wu, X.F.
core   +1 more source

Some new nonlinear second-order boundary value problems on an arbitrary domain

Advances in Difference Equations, 2018
In this paper, we develop the existence theory for nonlinear second-order ordinary differential equations equipped with new kinds of nonlocal non-separated type integral multi-point boundary conditions on an arbitrary domain. Existence results are proved
Ahmed Alsaedi, Mona Alsulami, Ravi P. Agarwal, Bashir Ahmad   +3 more
doaj   +1 more source

Generalized Thermo-Diffusion Interaction in an Elastic Medium under Temperature Dependent Diffusivity and Thermal Conductivity

Mathematics, 2022
The purpose of this work is to investigate, within the context of extended thermo-diffusion theory, the transient thermo-diffusion responses for a half-space with variable thermal conductivity and diffusivity.
Aatef Hobiny, Ibrahim Abbas
doaj   +1 more source

Nonexistence of global solutions of fractional diffusion equation with time-space nonlocal source

Advances in Difference Equations, 2020
We prove the nonexistence of solutions of the fractional diffusion equation with time-space nonlocal source u t + ( − Δ ) β 2 u = ( 1 + | x | ) γ ∫ 0 t ( t − s ) α − 1 | u | p ∥ ν 1 q ( x ) u ∥ q r d s $$\begin{aligned} u_{t} + (-\Delta )^{\frac{\beta ...
Abderrazak Nabti, Ahmed Alsaedi, Mokhtar Kirane, Bashir Ahmad   +3 more
doaj   +1 more source

Effects of the Nonlocal Thermoelastic Model in a Thermoelastic Nanoscale Material

Mathematics, 2022
In this work, a novel nonlocal model without energy dissipations is presented to investigate the impacts of the nonlocal thermoelastic parameters in a nanoscale material by the eigenvalue approach.
Tareq Saeed, Ibrahim Abbas
doaj   +1 more source

Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions

Advances in Difference Equations, 2018
In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and multi-strip boundary value problems of multi-term fractional differential equations by using standard fixed point theorems.
Ravi P. Agarwal, Ahmed Alsaedi, Najla Alghamdi, Sotiris K. Ntouyas, Bashir Ahmad   +4 more
doaj   +1 more source

A study of fractional-order coupled systems with a new concept of coupled non-separated boundary conditions

Boundary Value Problems, 2017
In this paper, we introduce a new concept of coupled non-separated boundary conditions and solve a coupled system of fractional differential equations supplemented with these conditions.
Hamed H Alsulami, Sotiris K Ntouyas, Ravi P Agarwal, Bashir Ahmad, Ahmed Alsaedi   +4 more
doaj   +1 more source