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Pan-American Journal of Mathematics
Scopus
ISSN 2832-4293 · Mathyze Publishers · 72 articles in the index
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Journal Article
Bi-Statistical γ-Covers Controlled by a Pair of Weight Functions in Topology
In this current framework, a new notion called double weighted statistical γ-cover is being introduced within the context of topological space. This notion extends the idea of a traditional open cover by incorporating two weight functions g and h which allocate non-negative real numbers to element…
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Journal Article
Pure Fractional Optimal Control of Partial Differential Equations: Nonlinear, Delay and Two-Dimensional PDEs
Novel methods for solving the optimal control problems of different and new types of the fractional partial differential equations (PDEs) as: nonlinear PDEs, delay PDEs, and two-dimensional PDEs, are introduced in this paper. These problems are formulated with the constant Riemann–Liouville…
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Journal Article
Study of Several New Variations of the Hardy-Hilbert Integral Inequality
In this article, we introduce new variations of the Hardy-Hilbert integral inequality, incorporating weight functions that depend on sums, products, absolute differences of variables, and a power parameter. Some of these inequalities involve the primitives of the main functions, as well as original…
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Journal Article
Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space
In this paper, we have established the existence and uniqueness of a common fixed point for occasionally weakly biased mappings of type (A) in an ultrametric space employing an implicit function. Our result accredits us to ameliorate some fixed point theorems specifically Alinejad and Mirmostafaee…
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Journal Article
The Selection Theory for Monotone Uniformly Equi-Bobtail Operators on Separable Hilbert Spaces
We establish that a uniformly bounded infinite system \(\left\{A_{\alpha } \right\}\) of monotone, uniformly continuous, uniformly equi-bobtail operators \(A_{\alpha } \; :\; K\to H\) on the separable Hilbert space admits a convergent subsequence \(\left\{A_{n} \right\}\subset \left\{A_{\alpha }…
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Journal Article
Positive Implicative Ideals in QI-Algebras
In this article, we design several QI-algebra constructions for a given QI-algebra, and then besides proving several additional properties of ideals in (right distributive) QI-algebras, we introduce the concept of positive implicative ideals in QI-algebras and prove some of its important…
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Journal Article
Neutrosophic Copson Type Rough I-Statistical Convergent Sequences
The main objective of work is to study the concept of rough I-statistical convergence for Copson-transformation in the setup of neutrosophic normed spaces by considering algebraic and topological properties of the set of rough ideal statistical limit points for Copson transformation sequences. We…
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Journal Article
Numerical Solution of the Fractional Dynamics of a Surface Energy Balance-Mass Balance Model of Cryosphere
In the present task, the dynamics of Cryosphere is represented based on the modified Caputo-Fabrizio fractional derivative. A numerical scheme based on the fifth-order fractional Adams-Bashforth approach is applied to the dynamical system of the proposed model. The nonlinear system of differential…
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Journal Article
On Surprising Approximations Involving Multiple Mathematical Constants
In this article, we present new numerical approximations involving five numerical constants, namely the Pi constant, the Euler constant, the Euler-Mascheroni constant, the Catalan constant, and the golden ratio constant. Four of these constants can be simply approximated by the others with relative…
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Journal Article
Mixed C-Cosine of Continuous Linear Operators on Complex p-Banach Spaces
In the present work, we define and examine the mixed C-cosine families of continuous linear operators on complex p-Banach spaces where 0 p 1. Finally, we will demonstrate several results on the mixed C-cosine families of continuous linear operators on complex p-Banach spaces where 0 p 1. Finally…
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Journal Article
Relative Prime Coprime Graph of Integers Modulo Group and Its Reverse Topological Indices
The relationship between edges and vertices is fundamental to graph theory, significantly influencing different graph properties and applications. The topological index is a numerical value calculable by specific techniques and graph properties. Meanwhile, the relative prime coprime graph of a…
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Journal Article
Time-Frequency Concentration Associated with the Multidimensional Hankel-Wavelet Transform
The main goal of this paper is to define a new integral transform called the multidimensional Hankel-wavelet transform and to give some new results related to this transform as generalized Parseval’s, Plancherel’s, inversion and Calderon’s reproducing formulas. Next, we analyse the concentration of…
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Journal Article
Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution
In this work, we consider the Ujlayan-Dixit (UD) fractional derivative and integral to present the fractional probability density function for the Continuous Uniform Distribution (CUD). Some applications for this distribution using the UD approach are developed by introduce new fractional notions…
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Journal Article
Numerical Solution of Elliptic Partial Differential Equation: Method of Lines and Crank-Nicholson Method
The method of lines (MOL) is a solution procedure for solving partial differential equation (PDE) and the Crank-Nicholson method (CNM) is an implicit finite difference method, used to solve the elliptic equation and similar partial differential equations numerically. In this study, the numerical…
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Journal Article
On Tempered (κ, ψ)-Hilfer Fractional Boundary Value Problems
Our research is primarily focused on applying the tempered (κ, ψ)-fractional operators to investigate the existence, uniqueness, and κ-Mittag-Leffler-Ulam-Hyers stability of a specific class of boundary value problems involving implicit nonlinear fractional differential equations and tempered (κ…
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Journal Article
Spectral Theorems in the Laguerre Hypergroup Setting
We introduce the two-wavelet multiplier operator in the Laguerre hypergroup setting. Knowing the fact that the study of this operator are both theoretically interesting and practically useful, we investigated several subjects of spectral analysis for the new operator. Firstly, we present a…
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Journal Article
Lyapunov Exponential Stability of the Shallow Water Equations in Trapezoidal Channel
This paper solves the problem of the exponential stability in L2-norm of Saint-Venant equations linear hyperbolic system for a non-prismatic and non-rectangular channel. We consider the general case of systems containing not only both arbitrary friction and spatially varying slopes but also…
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Journal Article
Dynamic Behavior and Bifurcation Analysis of a Difference Equation Including Exponential Terms
In this paper, the local stability, the boundedness, rate of convergence and the conditions of Neimark-Sacker bifurcation concerning difference equation xn+1=α1xn+α2xn-1+β1xnexp(-x2n-1)+β2xn-1exp(-x2n-1), n=0,1, ..., are investigated. We focus on the Neimark-Sacker bifurcations of the discrete…
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Journal Article
Leray Schauder Type Fixed Point Theorems in RWC-Banach Algebras and Application to Chandrasekhar Integral Equations
In this paper, the existence of fixed point results of Leray Schauder type for the sum and the product of nonlinear operators acting on RWC-Banach algebras under weak topology is proved. Our results are formulated in terms of a sequential characterization of the RWC-Banach algebra and the De Blasi…
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Journal Article
Some Approximate Division and Semigroup Identities for the Mittag-Leffler Function
It is known that the Mittag-Leffler (ML) function, Eα(z), a non-local extension of the Euler exponential function ez, does not enjoy the semigroup property while ez does. The purpose of this note is to show that Eα(z) does, however, for real t, s with s small enough, enjoy the approximate semigroup…