A NOVEL SPECTRAL APPROXIMATION FOR THE TWO-DIMENSIONAL FRACTIONAL SUB-DIFFUSION PROBLEMS

A.H. BHRAWY1,2, M.A. ZAKY3, D. BALEANU4,5, M.A. ABDELKAWY2 1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia E-mail: alibhrawy@yahoo.co.uk 2Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt E-mail: melkawy@yahoo.com 3Department of Applied Mathematics, National Research Center, Cairo, Egypt E-mail: ma.zaky@yahoo.com 4Çankaya University, Faculty of Art and Sciences, Department of Mathematics and Computer Sciences, Balgat 0630, Ankara, Turkey 5Institute of Space Sciences, P.O.BOX, MG-23, RO 077125, Magurele-Bucharest, Romania E-mail: dumitru@cankaya.edu.tr