Results 81 to 90 of about 3,521 (216)

Formulas for Continued Fractions. An Automated Guess and Prove Approach

open access: yes, 2015
We describe a simple method that produces automatically closed forms for the coefficients of continued fractions expansions of a large number of special functions.
Abramowitz M.   +5 more
core   +3 more sources

Multistructure Novel Stochastic Soliton Solutions for the (2+1)‐Dimensional Breaking Wave Equation Within the Fractional Derivative Influence

open access: yesComplexity, Volume 2026, Issue 1, 2026.
In this paper, we investigate the exact stochastic solutions of the (2 + 1)‐dimensional stochastic fractional‐space breaking soliton equation (SFSBSE) involving the truncated M‐fractional derivative in space. This equation models a range of physical phenomena, including fluid wave propagation, shallow water dynamics, and plasma physics, under the ...
Fatma Nur Kaya Sağlam   +4 more
wiley   +1 more source

A new operational matrix based on Bernoulli polynomials [PDF]

open access: yes, 2014
In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S.   +3 more
core  

H_2-Optimal Decentralized Control over Posets: A State-Space Solution for State-Feedback

open access: yes, 2010
We develop a complete state-space solution to H_2-optimal decentralized control of poset-causal systems with state-feedback. Our solution is based on the exploitation of a key separability property of the problem, that enables an efficient computation of
Parrilo, Pablo A., Shah, Parikshit
core   +1 more source

Dynamics of Computational Solitons: Modulation Instability, Bifurcation, Chaotic Nature With Different Chaos‐Detecting Tools, and Influence of Multiplicative Noise Intensity

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid   +3 more
wiley   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha   +2 more
wiley   +1 more source

A Coiflets-Based Wavelet Laplace Method for Solving the Riccati Differential Equations

open access: yesJournal of Applied Mathematics, 2014
A wavelet iterative method based on a numerical integration by using the Coiflets orthogonal wavelets for a nonlinear fractional differential equation is proposed.
Xiaomin Wang
doaj   +1 more source

New and Effective Oscillation Criteria for Solutions of a Class of First‐Order Advanced Differential Equations Involving the Generalized Hausdorff Derivative

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the oscillatory behavior of a class of first‐order advanced differential equations involving the generalized Hausdorff derivative. By employing a recursive sequence method in combination with a Riccati transformation technique, we establish several new sufficient conditions that guaranty the oscillation of all solutions ...
Fatima Zohra Ladrani   +4 more
wiley   +1 more source

The Dynamical Landscape of the Negative‐Order (3+1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Equation

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek   +6 more
wiley   +1 more source

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