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In chapter one, some new formulas for Caputo fractional derivatives
of some elementary functions is given. The system of M-linear
Voltera integro-fractional differential equations is reduced into a
system of Voltera integral equations and the global and semi-global
fundamental existence and uniquenas theorems and presented in
Chapter two. In chapter three, some analytic and approximate
methods are applied to treat such a system. In chapter four,
Runge-Kutta methods with different orders are given to treat such a
system. The convergence and stability are also investigated. In
chapter five, special Chebyshev method is considered. In chapter
six, conclusions and recommendations with comparisons between the
methods are included.
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