JOURNAL ARTICLE

Solution of Conformable Fractional Heat Equation Using Fractional Bessel Functions.

  • Published In: Progress in Fractional Differentiation & Applications, 2024, v. 10, n. 2. P. 261 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Naamneh, Almajeda; Alsharif, Sharifa; Rawashdeh, Edris 3 of 3

Abstract

The article focuses on solving the conformable fractional heat equation using fractional Bessel functions derived from the conformable fractional derivative, a fractional calculus operator introduced in 2014. It defines a second linearly independent solution to the fractional Bessel differential equation via the Wronskian matrix and establishes orthogonality and normalization properties of fractional Bessel functions. Applying these results, the authors provide exact solutions to reformulated fractional heat conduction equations in one- and two-dimensional circular plates, employing separation of variables and Fourier-fractional Bessel series expansions. The work extends classical heat equation solutions by incorporating fractional derivatives that generalize standard calculus while preserving key properties such as linearity.

Additional Information

  • Source:Progress in Fractional Differentiation & Applications. 2024/04, Vol. 10, Issue 2, p261
  • Document Type:Article
  • Subject Area:Biography
  • Publication Date:2024
  • ISSN:2356-9336
  • DOI:10.18576/pfda/100207
  • Accession Number:184701552
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