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  1. Vor 4 Tagen · Institut Mittag-Leffler is an international center for research and postdoctoral training in mathematical sciences. The mission of the institute is to support international top-level research in mathematics, with special attention to the development of mathematical research in Nordic countries.

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  2. 11. Mai 2024 · Employing Fourier transform techniques and leveraging Mittag-Leffler functions, the author provides closed-form responses (free, impulse, step, frequency, and sinusoidal) for each of these three categories of fractional oscillators.

  3. 11. Mai 2024 · Multivariate Mittag-Lefler Solution. for a Forced Fractional-Order. Harmonic Oscillator. Mathematics. 2024, 12, 1502. https://doi.org/ 10.3390/math12101502. Academic Editor: Jay Jahangiri. Received: 4 April 2024. Revised: 3 May 2024. Accepted: 8 May 2024. Published: 11 May 2024. Copyright: 2024 by the authors. Licensee MDPI, Basel, Switzerland.

  4. 8. Mai 2024 · The aim of this paper is to define the linear operator based on the generalized Mittag-Leffler function and the Lambert series. By using this operator, we introduce a new subclass of β-uniformly starlike functions ΤJ(αi). Further, we obtain coefficient estimates, convex linear combinations, and radii of close-to-convexity ...

  5. Vor 6 Tagen · The fractional model, which includes Fourier and Fick's equations, investigates memory effects and is solved using the Laplace transform. The Mittag-Leffler function captures power-law relaxation dynamics, which improves our understanding of thermal and fluid behaviour. Graphical examination shows the influence of fractional and ...

  6. 8. Mai 2024 · uniformly starlike; Hadamard product; Lambert series; Mittag-Leffler function; Hankel determinant . MSC: 30C45; 30C50 . 1. Introduction The term “symmetry” on the open unit disk 𝔻𝔻: = {𝑧𝑧 ∈ℂ: |𝑧𝑧| < 1} can relate to rota-tional, reflection, or inversion symmetry, among other kinds of symmetry. The character-

  7. 20. Mai 2024 · Abstract. The fundamental purpose of this research is to offer a natural progression in the mathematical properties and presentation of specific Mittag-Leffler-type functions with two variables. Integral representations, differential relations, and integral transforms are established.