A Solution of Fractional Laplace's Equation by Modified Separation of Variables


  • Amir Pishkoo Physics department-Nuclear Science Research School (NSTRI)
  • Maslina Darus Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul.Ehsan, Malaysia
  • Fatemeh Tamizi Islamic Azad University Zahedan Branch, Zahedan, Iran




Fractional differential equation, Laplace's equation, Meijer's G-function, Modified separation of variables.


This paper applies the Modified separation of variables method (MSV) suggested by Pishkoo and Darus towards obtaining a solution for fractional Laplace's equation. The closed form expression for potential function is formulated in terms of Meijer's G-functions (MGFs). Moreover, the relationship between fractional dimension and parameters of Meijer’s G-function for spherical Laplacian in R, for radial functions is derived.


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Author Biography

Maslina Darus, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul.Ehsan, Malaysia

School of Mathematical Sciences, Faculty of Science and Technology


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How to Cite

Pishkoo, A., Darus, M., & Tamizi, F. (2014). A Solution of Fractional Laplace’s Equation by Modified Separation of Variables. JOURNAL OF ADVANCES IN PHYSICS, 4(1), 397–403. https://doi.org/10.24297/jap.v4i1.2049