Sahand Communications in Mathematical Analysis
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ارسال های اخیر
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On Fixed Point of Quasi Contraction with Application to Integral Equation
(University of Maragheh, 2024-07-01)It is observed from the surveyed literature that there is no sufficient study of quasi-weakly contractive operators in the context of $b$-metric-like spaces. From this background information, this paper introduces a new ...
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On $\mu^{*}$-$R_{0}$ and $\mu^{*}$-$R_{1}$ Spaces with Separation Axioms
(University of Maragheh, 2024-07-01)In this paper, we define and investigate $\mu^{*}$-$R_{0}$ and $\mu^{*}$-$R_{1}$ spaces in a generalized topological space together with a topology. Independence of these spaces from the existing allied concepts is shown ...
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On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear Space
(University of Maragheh, 2024-07-01)In this paper, we define strong deferred summability and deferred statistical summability in intuitionistic fuzzy \(n\)-normed linear spaces (briefly called IF-\(n\)-NLS) and study some of their properties. We also define ...
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Global Solutions for a Nonlocal Problem with Logarithmic Source Term
(University of Maragheh, 2024-07-01)The current paper discusses the global existence and asymptotic behavior of solutions of the following new nonlocal problem$$ u_{tt}- M\left(\displaystyle \int_{\Omega}|\nabla u|^{2}\, dx\right)\triangle u + \delta u_{t}= ...
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Quotient Banach Lattices Under Unbounded Norm Topology
(University of Maragheh, 2024-07-01)In this paper, we verify some extra properties in quotient Banach lattices. Especially, we characterize the zero neighborhoods under unbounded norm topology (un-topology) in quotient Banach lattices. We verify some types ...
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Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications
(University of Maragheh, 2024-07-01)In this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals. By using ...
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Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives
(University of Maragheh, 2024-07-01)This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. The primary ...
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On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions
(University of Maragheh, 2024-07-01)In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct ...
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Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions
(University of Maragheh, 2024-07-01)In this study, we first establish two new identities for multiplicative differentiable functions. Based on these identities, we derive the midpoint and trapezoid type inequalities. The acquired outcomes improve and refine ...
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Some New Notions of Bases for the Range of Operators in Hilbert Spaces
(University of Maragheh, 2024-07-01)This paper is devoted to introduce a new concept of bases for the range of the operator $K$. Actually, we consider controlled $K$-orthonormal and controlled $K$-Riesz bases which are a generalization of ordinary bases in ...
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Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means
(University of Maragheh, 2024-07-01)We apply the Riemann-Liouville fractional integral to generalize a companion of Ostrowski's type integral inequality. The present article recaptures all the results of M. W. Alomari's article and also for one more article ...
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On Copson Ideal Convergent Sequence Spaces
(University of Maragheh, 2024-07-01)The present work is an investigation of some new sequence spaces $c^{I}_{0}\left(C\right)$, $c^{I}\left(C\right)$, $\ell^{I}_{\infty}\left(C\right)$ and $\ell_{\infty}\left(C\right)$ as a domain of the triangle Copson ...
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Existence, Uniqueness and Convergence Solution of Nonlinear Caputo-Fabrizio Fractional Biological Population Model
(University of Maragheh, 2024-07-01)This paper studies a fractional biological population model involving the Caputo-Fabrizio fractional derivative. We establish the existence and uniqueness of the solution using Banach's fixed point theorem. Furthermore, ...
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The Hölder and Minkowski Inequalities Utilizing a Fractional Operator Involvement of Pseudo-Operator
(University of Maragheh, 2024-07-01)A generalized integral operator of order $\alpha$ of a real function $f$ including a parameter set $P$, namely $K_P^\alpha f(t)$ has been introduced by O. P. Agrawal (Computers and Mathematics with Applications, 59 ...
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Bound Associated with Certain Hankel Determinants and Zalcman Conjecture for Multivalent Functions of Bounded Turning
(University of Maragheh, 2024-07-01)In this paper, we investigate for a sharp upper bound to certain generalized second Hankel determinant, the Zalcman conjecture and an upper bound for the third, fourth Hankel determinants for the class of multivalent ...
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Score-Valued Decision Making Models Based on Inverse Soft Matrices
(University of Maragheh, 2024-07-01)In this work, we introduce some useful concepts in soft set theory, such as $\overline{\alpha}$-inverse intersection and $\overline{\alpha}$-inverse union of inverse soft sets, together with the type soft $\overline{\ ...
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Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space
(University of Maragheh, 2024-07-01)In this article, we delve into the concept of convexity within fuzzy metric spaces and delve into their structural characteristics. We present several theorems concerning the existence of coincidence points in fuzzy convex ...
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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series
(University of Maragheh, 2024-07-01)The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT). The uniqueness lies in utilizing a generalized discrete ...
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Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial
(University of Maragheh, 2024-07-01)This article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci ...
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Study of Transitivity, Periodic Density and Sensitivity for Chaotic Non-Autonomous Fuzzified Dynamical System
(University of Maragheh, 2024-07-01)The present investigations focus on the mathematical analysis and investigation of non-autonomous discrete dynamical systems. A non-autonomous discrete dynamical system has been framework using the series technique map ...