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The Fading Memory Formalism with Mittag-Leffler-Type Kernels as A Generator of Non-Local Operators

Applied Sciences (Switzerland), ISSN: 2076-3417, Vol: 13, Issue: 5
2023
  • 4
    Citations
  • 0
    Usage
  • 0
    Captures
  • 2
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    4
    • Citation Indexes
      4
  • Mentions
    2
    • Blog Mentions
      1
      • Blog
        1
    • News Mentions
      1
      • 1

Most Recent News

Study Findings on Applied Sciences Described by a Researcher at University of Chemical Technology and Metallurgy (The Fading Memory Formalism with Mittag-Leffler-Type Kernels as A Generator of Non-Local Operators)

2023 MAR 29 (NewsRx) -- By a News Reporter-Staff News Editor at NewsRx Science Daily -- Investigators discuss new findings in applied sciences. According to

Article Description

Transient heat conduction problems are systematically applied to the fading memory formalism with different Mittag-Leffler-type memory kernels. With such an approach, using various memories naturally results in definitions of various fractional operators. Six examples are given and interpreted from a common perspective, covering the most well-liked versions of the Mittag-Leffler function. The fading memory approach was used as a template and demonstrated that, if the constitutive equations are correctly built, it is also possible to directly determine where the hereditary terms are located in the models.

Bibliographic Details

Jordan Hristov

MDPI AG

Materials Science; Physics and Astronomy; Engineering; Chemical Engineering; Computer Science

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