Results 31 to 40 of about 1,793,022 (276)

Resonant Soliton and Soliton-Cnoidal Wave Solutions for a (3+1)-Dimensional Korteweg-de Vries-Like Equation

Complexity, 2019
The residual symmetry of a (3+1)-dimensional Korteweg-de Vries (KdV)-like equation is constructed using the truncated Painlevé expansion. Such residual symmetry can be localized and the (3+1)-dimensional KdV-like equation is extended into an enlarged ...
Zheng-Yi Ma, Jin-Xi Fei, Jun-Chao Chen, Quan-Yong Zhu   +3 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

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

Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions

Boundary Value Problems, 2019
In this paper, we introduce and study a new kind of coupled fractional differential system involving right Caputo and left Riemann–Liouville fractional derivatives, supplemented with nonlocal three-point coupled boundary conditions.
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi   +2 more
doaj   +1 more source

Analytical Estimation of Temperature in Living Tissues Using the TPL Bioheat Model with Experimental Verification

Mathematics, 2020
The aim of this study is to propose the analytical method associated with Laplace transforms and experimental verification to estimate thermal damages and temperature due to laser irradiation by utilizing measurement information of skin surface.
Aatef Hobiny, Faris Alzahrani, Ibrahim Abbas   +2 more
doaj   +1 more source

On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders

Advances in Difference Equations, 2019
In this paper we develop the existence theory for a nonlinear Langevin equation involving Caputo fractional derivatives of different orders and Riemann–Liouville fractional integral supplemented with nonlocal multi-point and multi-strip boundary ...
Bashir Ahmad, Ahmed Alsaedi, Sara Salem
doaj   +1 more source

Tenth order boundary value problem solution existence by fixed point theorem

Journal of Inequalities and Applications, 2020
In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation.
Nicola Fabiano, Nebojša Nikolić, Thenmozhi Shanmugam, Stojan Radenović, Nada Čitaković   +4 more
doaj   +1 more source

Independent nonlinear component analysis [PDF]

Journal of the American Statistical Association, 2019
The idea of summarizing the information contained in a large number of variables by a small number of "factors" or "principal components" has been broadly adopted in economics and statistics. This paper introduces a generalization of the widely used principal component analysis (PCA) to nonlinear settings, thus providing a new tool for dimension ...
Gunsilius, Florian, Schennach, Susanne M.   +1 more
openaire   +2 more sources

Output frequency response function-based analysis for nonlinear Volterra systems [PDF]

, 2007
Analysis of nonlinear systems has been studied extensively. Based on some recently developed results, a new systematic approach to the analysis of nonlinear Volterra systems in the frequency domain is proposed in this paper, which provides a novel ...
Bendat, Billings, Boyd, Chen, Elizalde, Engelberg, Graham, Jing, Jing, Kim, Lang, Lang, Nam, Nuij, Petkovska, Peyton Jones, Peyton Jones, Rugh, Sandberg, Sandberg, Sandberg, Sandberg, Sanders, Stephen A. Billings, Taylor, Volterra, Xing Jian Jing, Yue, Yue, Zi Qiang Lang   +29 more
core   +1 more source

Nonlinear analysis of spacecraft thermal models [PDF]

, 2010
We study the differential equations of lumped-parameter models of spacecraft thermal control. Firstly, we consider a satellite model consisting of two isothermal parts (nodes): an outer part that absorbs heat from the environment as radiation of various ...
A. Berman, A.A. Andronov, A.H. Nayfeh, A.H. Nayfeh, C. Arduini, C.A. Wingate, C.J. Savage, F. Kreith, H.B. Callen, I. Pérez-Grande, I. Shafarevich, J. Gaite, J. Guckenheimer, J. Hymers, J.-P. Tignol, J.-R. Tsai, José Gaite, M. Hazewinkel, M.A. Gadalla, M.W. Hirsch, P.G. Drazin, R.A. Henderson, V.I. Arnold, W. Hurewicz   +23 more
core   +1 more source