Abstract
Di usion equations are an important part of partial di erential equations because of their potential applications in science, engineering, and social sciences. On the other hand, the fractional derivatives have been started to apply in several systems in the past few decades. Recently an extensive work has appeared in literature dealing with oneand two-dimensional partial di usion equations [1 6]. It is well known that the one-dimensional fractional di usion equation is de ned as: ∂u(x, t) ∂t = d(x) ∂u(x, t) ∂xα + q(x, t). (1)
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