الفهرس 
Chapter 1Only 14 pages are availabe for public view
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Abstract
During the past three decades, the subject of fractional calculus (calculus of integrals and derivatives of arbitrary order) has gained considerable popularity and importance, mainly due to its demonstrated applications in numerous diverse and wide spread fields in science and engineering. For example, fractional calculus has been successfully applied to problems in system biology, physics, chemistry and biochemistry, hydrology, medicine and finance. In many cases these new fractional order models are more adequate than the previously used integer-order models, because fractional derivatives and integrals enable the description of the memory and hereditary properties inherent in various materials and processes that are governed by anomalous diffusion. Hence, there is a growing need to find the solution behavior of these fractional differential equations (FDEs). However, the analytic solutions of the most FDEs generally cannot be obtained. As a consequence, approximate and numerical techniques are playing an important role in identifying the solution behavior of such fractional equations and exploring their applications.