Finite-Difference Methods for Fractional Differential Equations of Order 1/2
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In this work, we study approximations of solutions of fractional differential equations of order 1/2. We present a new method of approximation and obtain the order of convergence. The presentation is given within the abstract framework of a semidiscrete approximation scheme, which includes finite-element methods, finite-difference schemes, and projection methods.
Keywords and phrasesfractional Cauchy problem Banach space α-times resolution family discretization methods difference scheme error estimate
AMS Subject Classification45L05 65M12
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