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Envelopes in Banach spaces
We introduce the notion of isometric envelope of a subspace in a Banach space, establishing its connections with several key elements: (a) we explore...
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Continuity Dependence of Attractors of Iterated Function Systems with Orbital Condition
In the article Secelean and Wardowski (Qual Theory Dyn Syst 21:162, 2022), there were introduced iterated function systems involving certain...
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Stability Analysis of a New Differential-Difference Model Applied to the Pre-exposure Prophylaxis (PrEP) Effect on the Spread of HIV
In this research, an examination is conducted on a model derived from the inquiry into the efficacy of HIV Pre-Exposure Prophylaxis (PrEP) within...
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Existence Results for Nonlinear Hilfer Pantograph Fractional Integrodifferential Equations
The main aim of this paper is to study the existence and uniqueness solutions for the nonlinear Hilfer pantograph fractional differential equations....
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Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the...
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Bitsadze-Samarsky type problems with double involution
In this paper, the solvability of a new class of nonlocal boundary value problems for the Poisson equation is studied. Nonlocal conditions are...
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Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
In this paper, we establish the boundedness of multilinear commutators of Hardy–Littlewood maximal operators on Herz-type spaces where all the...
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Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles
In an effort to express Clifford-valued signals efficiently in time–frequency domain, we introduce the notion of the novel integral transform known...
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A Novel Fractional-Order Cascade Tri-Neuron Hopfield Neural Network: Stability, Bifurcations, and Chaos
In this paper, we propose a novel Caputo-type fractional-order cascade tri-neuron Hopfield neural network (HNN) taking no connection between the...
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Integrability, Similarity Reductions and New Classes of Exact Solutions for (3+1)-D Potential Yu–Toda–Sasa–Fukuyama Equation
In this investigation, the (3+1)-D potential Yu–Toda–Sasa–Fukuyama (YTSF) equation that arises in physical dynamics is studied for passing the...
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On Taylor’s formulas in fractional calculus: overview and characterization for the Caputo derivative
This paper discusses some aspects of Taylor’s formulas in fractional calculus, focusing on use of Caputo’s definition. Such formulas consist of a...
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Integrals involving log and polylogarithms associated with Euler sums
Integrals that contain polylogarithmic functions in the integrand are occasionally represented in closed form by utilizing specialized Euler sums. We...
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On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity
In this present paper, we concern investigating nonlinear Kirchhoff-type problems subject to Dirichlet boundary conditions, incorporating nonlocal...
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Approximate Controllability of a Coupled Nonlocal Partial Functional Integro-differential Equations with Impulsive Effects
In this work, we study the approximate controllability problem for a system of nonlocal integro-differential equations with impulsive effects. We...
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Trending on the use of Google mobility data in COVID-19 mathematical models
Google mobility data has been widely used in COVID-19 mathematical modeling to understand disease transmission dynamics. This review examines the...
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Common fixed points of a pair of \((\psi ,\phi )\)-weakly contractive maps via ceiling distance with applications
In this paper, we discuss a critical analysis of a paper by Kumar (J Comput Appl Math 404:1–16 2022), found some corrections through the use of...