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Latest Published Articles

A few comments and some new results on JU-algebras

OMS-Vol. 4 (2020), Issue 1, pp. 110 – 117 Open Access Full-Text PDF
Daniel A. Romano
Abstract: In this article, we revisit the axioms of JU-algebras previously recognizable as ‘pseudo KU-algebras’, which we may call as ‘weak KU-algebras’ and discussed the definitions of some of their substructures. We also associate this class of algebras with the classes of BE-algebras and UP-algebras. In addition, we introduce and analyze some new classes of ideals in this class of algebras.
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Higer-order commutators of parametrized Marcinkewicz integrals on Herz spaces with variable exponent

EASL-Vol. 3 (2020), Issue 1, pp. 56 – 70 Open Access Full-Text PDF
Omer Abdalrhman, Afif Abdalmonem, Shuangping Tao
Abstract: Let \(0<\rho<n\) and \(\mu_{\Omega}^{\rho}\) be the Parametrized Marcinkiewicz integrals operator. In this work, the bondedness of \(\mu_{\Omega}^{\rho}\) is discussed on Herz spaces \(\dot{K}_{p(\cdot)}^{\alpha,q(\cdot)}(\mathbb{R}^{n})\), where the two main indices are variable exponent. The boundedness of the commutators generated by BOM function, Lipschitz function and parametrized Marcinkiewicz integrals operator is also discussed.
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New Hadamard and Fejér-Hadamard fractional inequalities for exponentially \(m\)-convex function

EASL-Vol. 3 (2020), Issue 1, pp. 45 – 55 Open Access Full-Text PDF
Sajid Mehmood, Ghulam Farid, Khuram Ali Khan, Muhammad Yussouf
Abstract: In this article, we present new fractional Hadamard and Fejér-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler function via a monotone function. To establish these inequalities we will use exponentially \(m\)-convex functions. The presented results in particular contain a number of fractional Hadamard and Fejér-Hadamard inequalities for functions deducible from exponentially \(m\)-convex functions.
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Analysis and numeric of mixed approach for frictional contact problem in electro-elasticity

OMA-Vol. 4 (2020), Issue 1, pp. 20 – 37 Open Access Full-Text PDF
M. Bouallala, EL-H. Essoufi A. Zafrar
Abstract: This work handle a mathematical model describing the process of contact between a piezoelectric body and rigid foundation. The behavior of the material is modeled with a electro-elastic constitutive law. The contact is formulated by Signorini conditions and Coulomb friction. A new decoupled mixed variational formulation is stated. Existence and uniqueness of the solution are proved using elements of the saddle point theory and a fixed point technique. To show the efficiency of our approach, we present a decomposition iterative method and its convergence is proved and some numerical tests are presented.
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Differential operators and Narayana numbers

ODAM-Vol. 3 (2020), Issue 1, pp. 37 – 40 Open Access Full-Text PDF
Jie Xiong, Qi Fang
Abstract: In this paper, we establish a connection between differential operators and Narayana numbers of both kinds, as well as a kind of numbers related to central binomial coefficients studied by Sulanke (Electron. J. Combin. 7 (2000), R40).
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BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC