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  1. 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...

    V. Ferenczi, J. Lopez-Abad in Banach Journal of Mathematical Analysis
    Article Open access 12 July 2024
  2. 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...

    Article Open access 12 July 2024
  3. 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...

    Mostafa Adimy, Abdennasser Chekroun, ... Laurent Pujo-Menjouet in Qualitative Theory of Dynamical Systems
    Article 11 July 2024
  4. 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....

    B. Radhakrishnan, T. Sathya, ... T. Abdeljawad in Qualitative Theory of Dynamical Systems
    Article 11 July 2024
  5. 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...

    Abdul Hamid Ganie, Saurav Mallik, ... Mohd Asif Shah in Boundary Value Problems
    Article Open access 11 July 2024
  6. 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...

    Moldir Muratbekova, Valery Karachik, Batirkhan Turmetov in Boundary Value Problems
    Article Open access 09 July 2024
  7. 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...

    Article 09 July 2024
  8. 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...

    Zouheyr Zeghad, Souheyb Dehimi in The Journal of Analysis
    Article 09 July 2024
  9. 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...

    Pushpendra Kumar, Tae H. Lee, Vedat Suat Erturk in Qualitative Theory of Dynamical Systems
    Article 09 July 2024
  10. 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...

    Ahmed A. Gaber, Ahmet Bekir in Qualitative Theory of Dynamical Systems
    Article 08 July 2024
  11. 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...

    Roberto Nuca, Matteo Parsani in Fractional Calculus and Applied Analysis
    Article 08 July 2024
  12. 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...

    Anthony Sofo, Junesang Choi in The Journal of Analysis
    Article 08 July 2024
  13. From Zygmund space to Bergman–Zygmund space

    Hong Rae Cho, Hyungwoon Koo, Young Joo Lee in Banach Journal of Mathematical Analysis
    Article 08 July 2024
  14. 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...

    El-Houari Hamza, Arhrrabi Elhoussain, J. Vanterler da da C. Sousa in Journal of Pseudo-Differential Operators and Applications
    Article 07 July 2024
  15. 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...

    Hamida Litimein, Sara Litimein, ... Zhen-You Huang in Qualitative Theory of Dynamical Systems
    Article 06 July 2024
  16. 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...

    Yang Deng, Hefei Lin, ... Yi Zhao in Advances in Continuous and Discrete Models
    Article Open access 05 July 2024
  17. 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...

    Koti N. V. V. Vara Prasad, Vinay Mishra in The Journal of Analysis
    Article 05 July 2024
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