Results 21 to 30 of about 3,885 (102)

Diverse Precise Traveling Wave Solutions Possessing Beta Derivative of the Fractional Differential Equations Arising in Mathematical Physics

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we obtain the novel exact traveling wave solutions in the form of trigonometric, hyperbolic and exponential functions for the nonlinear time fractional generalized reaction Duffing model and density dependent fractional diffusion‐reaction equation in the sense of beta‐derivative by using three fertile methods, namely, Generalized tanh ...
Imran Siddique   +5 more
wiley   +1 more source

Comparative Evaluation of the Optimal Auxiliary Function Method and Numerical Method to Explore the Heat Transfer between Two Parallel Porous Plates of Steady Nanofluids with Brownian and Thermophoretic Influences

open access: yesMathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this study, we used the newly established optimal approach, namely, optimal auxilary function method (OAFM) along with the Adams numerical solver technique in order to investigate the heat transfer between two permeable parallel plates of steady nanofluids (HTBTP‐SNFs) through Brownian and thermophoretic consequences.
Hakeem Ullah   +5 more
wiley   +1 more source

Radiation characteristics of a double‐layer spherical dielectric lens antenna with a conformal PEC disk fed by on‐axis dipoles

open access: yesIET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1249-1269, 12 August 2021., 2021
Abstract The radiation of a double‐layer spherical dielectric lens equipped with a conformal spherical‐disk PEC reflector and excited by elementary sources located on the antenna axis of rotation is considered. The sources are either a radial electric dipole or a tangential magnetic dipole.
Maria E. Tikhenko   +3 more
wiley   +1 more source

A counterexample to the composition condition conjecture for polynomial Abel differential equations [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2017
Polynomial Abel differential equations are considered a model problem for the classical Poincaré center–focus problem for planar polynomial systems of ordinary differential equations. In the last few decades, several works pointed out that all centers of
J. Giné, M. Grau, Xavier Santallusia
semanticscholar   +1 more source

Ordinary differential equations defined by a trigonometric polynomial field: behaviour of the solutions [PDF]

open access: yesDynamical systems, 2019
We consider the ordinary differential equations defined by a trigonometric polynomial field and we prove that any solution x admits a rotation vector . More precisely, the function is bounded on time and it is a weak almost periodic function of slope ρ.
Walid Oukil
semanticscholar   +1 more source

Planar systems and Abel equations

open access: yesCommunications on Pure and Applied Analysis, 2022
The aim of this paper is to determine when polynomial planar systems can be reduced to Abel equations. The study is based on earlier works by Christopher, Devlin, Lloyd, and Pearson.
A. Álvarez, J. L. Bravo, F. Sánchez
semanticscholar   +1 more source

E8 spectral curves

open access: yesProceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020
Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley   +1 more source

On Bohr's theorem for general Dirichlet series

open access: yesMathematische Nachrichten, Volume 293, Issue 8, Page 1591-1612, August 2020., 2020
Abstract We present quantitative versions of Bohr's theorem on general Dirichlet series D=∑ane−λns assuming different assumptions on the frequency λ=(λn), including the conditions introduced by Bohr and Landau. Therefore, using the summation method by typical (first) means invented by M.
I. Schoolmann
wiley   +1 more source

Existence of Multiple Periodic Solutions for Cubic Nonautonomous Differential Equation

open access: yesMathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
In this article, approaches to estimate the number of periodic solutions of ordinary differential equation are considered. Conditions that allow determination of periodic solutions are discussed. We investigated focal values for first‐order differential nonautonomous equation by using the method of bifurcation analysis of periodic solutions from a fine
Saima Akram   +5 more
wiley   +1 more source

Universal centers in the cubic trigonometric Abel equation [PDF]

open access: yes, 2014
We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Giné, Jaume   +2 more
core   +5 more sources

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