Results 61 to 70 of about 6,758 (251)

The control problem for the system of telegraph equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
The boundary control problem for the system of telegraph equations was considered in the rectangular region. The control functions transferring the process described by this system from the given initial state to the final state were constructed using the
Elena A Kozlova
doaj  

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

On Geometric Phase Model in the Theory of Curves With Myller Configuration

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir, Bahar Doğan Yazıcı, Murat Tosun   +2 more
wiley   +1 more source

Existence of solutions to the Riemann problem for a model of two-phase flows

Electronic Journal of Differential Equations, 2015
We study the existence of solutions of the Riemann problem for a model of two-phase flows. The model has the form of a nonconservative hyperbolic system of balance laws. Based on a phase decomposition approach, we obtain all the wave curves.
Mai Duc Thanh, Dao Huy Cuong
doaj  

Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
doaj   +1 more source

Riemann–Liouville Type Fractional Derivatives and Equivalences of Linear Riemann–Liouville Type Fractional Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The first or higher order Riemann–Liouville (R‐L) type fractional derivatives are studied. The relations between the R‐L type fractional derivatives and the classical R‐L fractional derivatives are obtained and the spaces of functions on which the R‐L type fractional derivatives exist are provided.
Kunquan Lan
wiley   +1 more source

Leighton–Wintner‐Type Oscillation Criteria for the p(t)$$ p(t) $$‐Laplacian Dynamic Equations on Time Scales

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study investigates oscillation problems for p(t)$$ p(t) $$‐Laplacian dynamic equations on time scales. By employing the Riccati transformation technique, we establish a new Leighton–Wintner‐type oscillation theorem for the equations under consideration, which unifies and extends existing results for both differential and difference ...
Kōdai Fujimoto, Kazuki Ishibashi, Masakazu Onitsuka   +2 more
wiley   +1 more source

Fractional derivative generalization of Noether’s theorem

Open Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam, Nadjafikhah Mehdi, Jafari Hossein   +2 more
doaj   +1 more source

Some identities related to Riemann zeta-function

Journal of Inequalities and Applications, 2016
It is well known that the Riemann zeta-function ζ ( s ) $\zeta(s)$ plays a very important role in the study of analytic number theory. In this paper, we use the elementary method and some new inequalities to study the computational problem of one kind of
Lin Xin
doaj   +1 more source

The Sod gasdynamics problem as a tool for benchmarking face flux construction in the finite volume method

Scientific African, 2020
The Finite Volume Method in Computational Fluid Dynamics to numerically model a fluid flow problem involves the process of formulating the numerical flux at the faces of the control volume.
Osama A. Marzouk
doaj   +1 more source