Results 61 to 70 of about 161,488 (234)

Composition of Fractional Integral and Derivative Operators: Summarised in Tables

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

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

open access: yesElectronic 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  

Tabulation of the Riemann problem solution in Godunov method for Soave – Redlich – Kwong equation of state [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
The work is devoted to the using of the exact solutions of the Riemann problem on the decay of an arbitrary discontinuity to describe the real gases flows with the Soave – Redlich – Kwong equation of state.
Koroleva, Maria Ravilevna   +1 more
doaj   +1 more source

A Riemann solver based on a global existence proof for the Riemann problem [PDF]

open access: yes
Godunov's method and several other methods for computing solutions to the equations of gas dynamics use Riemann solvers to resolve discontinuities at the interface between cells.
Dutt, P.
core   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

The generalized Riemann problem for reactive flows [PDF]

open access: yesJournal of Computational Physics, 1989
A generalized Riemann problem is introduced for the equations of reactive non-viscous compressible flow in one space dimension. Initial data are assumed to be linearly distributed on both sides of a jump discontinuity. The resolution of the singularity is studied and the first-order variation (in time) of flow variables is given in exact form.
openaire   +3 more sources

Two-Dimension Riemann Initial-Boundary Value Problem of Scalar Conservation Laws with Curved Boundary

open access: yesBoundary Value Problems, 2011
This paper is concerned with the structure of the weak entropy solutions to two-dimension Riemann initial-boundary value problem with curved boundary.
Pan Tao, Chen Huazhou
doaj  

Well-posedness of discontinuous boundary-value problems for nonlinear elliptic complex equations in multiply connected domains

open access: yesElectronic Journal of Differential Equations, 2013
In the first part of this article, we study a discontinuous Riemann-Hilbert problem for nonlinear uniformly elliptic complex equations of first order in multiply connected domains. First we show its well-posedness. Then we give the representation of
Guo-Chun Wen
doaj  

Sliding Mode Control in Aerospace Applications: A Survey

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source

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