In this work, we use similarity method to solve fractional order partial differential equations where the fractional derivative is defined in Riesz sense. Two examples are presented to illustrate how problems are reduced from two-variable fractional partial differential equations to ordinary ones. Fourier transform method is used for solving the ordinary problems.
Digital Object Identifier (DOI)
Elsaid, Ahmed; Soror Abdel Latif, Mohamed; and Maneea, Marwa
"Similarity Solutions for Solving Riesz Fractional Partial Differential Equations,"
Progress in Fractional Differentiation & Applications: Vol. 2
, Article 7.
Available at: https://dc.naturalspublishing.com/pfda/vol2/iss4/7