11 articles in this issue
Goran Radunovic
We study fractality of unbounded sets of finite Lebesgue measure at infinity by introducing the notions of Minkowski dimension and content at infinity. We also introduce the Lapidus zeta function at infinity, study its properties and demonstrate its use i... see more
Nurettin Irmak,Emrah Kiliç
Recently Witula and Slota give decompositions of the Cauchy andFerrers-Jackson polynomials [Cauchy, Ferrers-Jackson and Chebyshevpolynomials and identities for the powers of elements of some conjugaterecurrence sequences, Central Europan J. Math., 2006]. ... see more
Huda M Al-Kharsani,Abeer M Al-Zahrani,S S Al-Hajri,Tibor K Pogany
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Nebojša M. Ralevic,Dejan Cebic
This study presents a new efficient family of eighth order methods for finding the simple root of nonlinear equation. The new family consists of three steps: the Newton's step, any optimal fourth order iteration scheme and the simply structured third step... see more
Javad Soolaki,Omid Solaymani Fard,Akbar Hashemi Borzabadi
This paper presents the necessary optimality conditions of Euler–Lagrange type for variational problems with natural boundary conditions and problems with holonomic constraints where the fuzzy fractional derivative is described in the combined Caputo sens... see more
Jian Cao,Wenchang Chu
By means of finite differences and partial fraction decomposition, we establish two binomial transformations, that extend, with four free parameters, the results due to Prodinger (2010) and Dahlbers-Ferdinands-Tefera (2010).
Ibrahim A. Al-Subaihi
Fitting two coaxial cylinders to data is a standard problem incomputational metrology and reverse engineering processes, which also arisesin medical imaging. There are many fitting criteria that can beused. One that is widely used in metrology, for exampl... see more
Dimitri Leemans,Bernardo Rodrigues
Domagoj Vlah,Luka Korkut,Darko Žubrinic,Vesna Županovic
We study the fractal oscillatory of a class of smooth real functions near infinity by connecting their oscillatory and phase dimensions, defined as the box dimension of their graphs and of the corresponding phase spirals, respectively. In particular, we i... see more
Michal Pospíšil,Lucia Pospíšilova Škripková
In the present paper, we make use of local properties of the recently established definition of conformable fractional derivative. Sturm’s separation and Sturm’s comparison theorems are proved for differential equations involving conformable fractional de... see more
Prakash Kumar Sahu,Santanu Saha Ray
In this paper, efficient numerical techniques have been proposed to solve nonlinear Hammerstein fuzzy integral equations. The proposed methods are based on Bernsteinpolynomials and Legendre wavelets approximation. Usually, nonlinear fuzzy integral equatio... see more