Solution of fractional Laplace type equation in conformable sense using fractional fourier series with separation of variables technique


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Authors

  • Ilhem Kadri Department of Mathematics, University of Oran 1, Algeria
  • Mohammed Al Horani Department of Mathematics, University of Jordan, Jordan
  • Roshdi Khalil Department of Mathematics, University of Jordan, Jordan

Keywords:

Fractional Fourier series, conformable fractional derivative, atomic solution

Abstract

The fractional Fourier series method with the separation of variables technique has been applied to solve the fractional Laplace type equation. We use the conformable fractional derivative to study the fractional Laplace type equation and solve it using the conformable fractional Fourier series method with separation of variables and tensor product technique in Banach spaces.

References

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Published

2023-06-11

How to Cite

Ilhem Kadri, Mohammed Al Horani, & Roshdi Khalil. (2023). Solution of fractional Laplace type equation in conformable sense using fractional fourier series with separation of variables technique. Results in Nonlinear Analysis, 6(2), 53–59. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/217