JOURNAL ARTICLE

On linear heat equation via conformable derivative approach.

  • Published In: Mathematics & Mechanics of Solids, 2025, v. 30, n. 5. P. 1213 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Nemri, Akram 3 of 3

Abstract

This article focuses on developing a detailed conformable Fourier analysis related to the cosine function and applying it to solve the conformable heat equation. It introduces and studies the even conformable translation, convolution, and the conformable cosine Fourier transform along with its inverse. Building on this framework, the work extends classical heat representation theory to the conformable calculus setting, constructing solution sources, conformable heat polynomials, and associated biorthogonal systems. The paper also establishes convergence properties of series solutions and provides graphical illustrations demonstrating the behavior of conformable heat polynomials for various fractional orders.

Additional Information

  • Source:Mathematics & Mechanics of Solids. 2025/05, Vol. 30, Issue 5, p1213
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:1081-2865
  • DOI:10.1177/10812865241269762
  • Accession Number:184627462
  • Copyright Statement:Copyright of Mathematics & Mechanics of Solids is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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