solving multi-order fractional differential equations by reproducing kernel hilbert space method

نویسندگان

reza khoshsiar ghaziani

shahrekord university mojtaba fardi

shahrekord university mehdi ghasemi

shahrekord university

چکیده

in this paper we propose a relatively new semi-analytical technique to approximate the solution ofnonlinear multi-order fractional differential equations (fdes). we present some results concerning to the uniqueness of solution of nonlinear multi-order fdes and discuss the existence of solution for nonlinear multi-order fdes in reproducing kernel hilbert space (rkhs). we further give an error analysis for the proposed technique in different reproducing kernel hilbert spaces and present some useful results. the accuracy of the proposed technique is examined by comparing with the exact solution of some test examples.

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عنوان ژورنال:
computational methods for differential equations

جلد ۴، شماره ۳، صفحات ۱۷۰-۱۹۰

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