Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method [PDF]
This paper is aimed at constructing fractional power series (FPS) solutions of time-space fractional Boussinesq equations using residual power series method (RPSM). Firstly we generalize the idea of RPSM to solve any-order time-space fractional differential equations in high-dimensional space with initial value problems inRn.
Xu, Fei +3 more
openaire +2 more sources
Extended Residual Power Series Algorithm for Boundary Value Problems
In this article, modification of the residual power series method (RPSM) is proposed for higher order boundary value problems (BVPs). The proposed algorithm is tested against various linear and nonlinear BVPs of orders nine up to thirteen. For the efficiency check of RPSM, obtained series solutions are compared with other available results in the ...
Mubashir Qayyum +4 more
openaire +1 more source
Exponentiated Extended Weibull-Power Series Class of Distributions [PDF]
In this paper, we introduce a new class of distributions by compounding the exponentiated extended Weibull family and power series family. This distribution contains several lifetime models such as the complementary extended Weibull-power series ...
Jafari, Ali Akbar, Tahmasebi, Saeid
core +2 more sources
In this paper, the new representations of optical wave solutions to fiber Bragg gratings with cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index structure are retrieved with high accuracy.
Hira Tariq +4 more
doaj +1 more source
Foregrounds for observations of the cosmological 21 cm line: I. First Westerbork measurements of Galactic emission at 150 MHz in a low latitude field [PDF]
We present the first results from a series of observations conducted with the Westerbork telescope in the 140--160 MHz range with a 2 arcmin resolution aimed at characterizing the properties of the foregrounds for epoch of reionization experiments.
A. G. de Bruyn +65 more
core +9 more sources
The residual power series method is effective for obtaining solutions to fractional-order differential equations. However, the procedure needs the n−1ϖ derivative of the residual function.
Muhammad Imran Liaqat, Eric Okyere
doaj +1 more source
Residue fixed point index and wildly ramified power series
In this paper, we study power series having a fixed point of multiplier 1. First, we give a closed formula for the residue fixed point index, in terms of the first coefficients of the power series. Then, we use this formula to study wildly ramified power series in positive characteristic.
Nordqvist, Jonas, Rivera-Letelier, Juan
openaire +3 more sources
Influence of second-order corrections to the energy-dependence of neutrino flavor conversion formulae [PDF]
We discuss the {\em intermediate} wave-packet formalism for analytically quantifying the energy dependence of the two-flavor conversion formula that is usually considered for analyzing neutrino oscillations and adjusting the focusing horn, target ...
A. E. BERNARDINI +7 more
core +1 more source
A new class of distribution-free tests for time series models specification [PDF]
The construction of asymptotically distribution free time series model specification tests using as statistics the estimated residual autocorrelations is considered from a general view point. We focus our attention on Box-Pierce type tests based on the
Delgado, Miguel A., Velasco, Carlos
core +9 more sources
Series Representations for Uncertain Fractional IVPs in the Fuzzy Conformable Fractional Sense
Fuzzy differential equations provide a crucial tool for modeling numerous phenomena and uncertainties that potentially arise in various applications across physics, applied sciences and engineering. Reliable and effective analytical methods are necessary
Malik Bataineh +3 more
doaj +1 more source

