Mathematical Sciences
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Filter design based on the fractional Fourier transform associated with new convolutions and correlations
Mathematical Sciences - Tập 17 - Trang 445-454 - 2022
We introduce new convolutions and correlations associated with the Fractional
Fourier Transform (FrFT) which present a significant simplicity in both the time
and FrFT domains. This allows for several consequences and applications, among
which we highlight the design of some multiplicative filters in the FrFT domain
having a significant simplicity when compared with the already known ones. Thus,
t...
Asymptotic equilibrium of integro-differential equations with infinite delay
Mathematical Sciences - Tập 9 - Trang 189-192 - 2015
The asymptotic equilibrium problems of ordinary differential equations in a
Banach space have been considered by several authors. In this paper, we
investigate the asymptotic equilibrium of the integro-differential equations
with infinite delay in a Hilbert space.
Lie symmetry analysis of the two-dimensional generalized Kuramoto-Sivashinsky equation
Mathematical Sciences - - 2012
Mean-square convergence analysis of the semi-implicit scheme for stochastic differential equations driven by the Wiener processes
Mathematical Sciences - Tập 17 Số 1 - Trang 59-66 - 2023
Numerical simulations of Kuramoto–Sivashinsky equation in reaction-diffusion via Galerkin method
Mathematical Sciences - Tập 15 - Trang 199-206 - 2021
Finite element methods have been frequently employed in seeking the numerical
solutions of PDEs. In this study, a Galerkin finite element numerical scheme is
constructed to explore numerical solutions of the generalized
Kuramoto–Sivashinsky (gKS) equation. A quartic trigonometric tension (QTT)
B-spline function is adapted as base of the Galerkin technique. The
incorporation of B-spline Galerkin in...
Multiple Heteroclinic solutions of bilateral difference systems with Laplacian operators
Mathematical Sciences - Tập 8 Số 2 - 2014
Vague ranking of fuzzy numbers
Mathematical Sciences - Tập 11 - Trang 189-193 - 2017
In a lot of scientific models in the real world, we confront with comparing
fuzzy numbers as decision-making procedures and etc. It will be interest, if we
know that, comparison discuss is sometimes ambiguous. Hence, this article focus
on ranking fuzzy numbers with protection ambiguity. Our idea for this work is
based on this claim that ranking of two fuzzy numbers should be a vague value.
However...
Analytical solutions for stochastic differential equations via Martingale processes
Mathematical Sciences - - 2015
In this paper, we propose some analytical solutions of stochastic differential
equations related to Martingale processes. In the first resolution, the answers
of some stochastic differential equations are connected to other stochastic
equations just with diffusion part (or drift free). The second suitable method
is to convert stochastic differential equations into ordinary ones that it is
tried to...
On decomposition of generalized Riemannian symmetric spaces and complete lifts of Clifford translations
Mathematical Sciences - Tập 16 - Trang 207-211 - 2021
Kowalski (Generalized symmetric spaces, Springer, 1980), proved that for
Riemannian manifolds $$M_1$$ and $$M_2$$ , if their Riemannian direct product
$$M={{M}_{1}}\times {{M}_{2}}$$ is Riemannian symmetric spaces, then $$M_1$$ and
$$M_2$$ are Riemannian symmetric spaces. This paper examines this theorem in
generalized symmetric spaces, without assuming that each $$M_i$$ is simply
connected....
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