Abstract. A numerical method for solving nonlinear Fredholm integro-di erential equations of fractional order is proposed. The method is based on a Hybrid function approximation. The proper- ties of Hybrid of Block-Pulse functions and orthonormal Bernstein polynomials are presented and are utilized to reduce the computa- tion of converting nonlinear Fredholm integro-di erential of frac- tional order equations to a system of algebraic equations. some nu- merical examples are presented to illustrate the e ectiveness and simplicity of the method.
Mohseni Moghadam, M., & Mahdavi Khanooki, A. (2016). A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. Iranian Journal of Science, (), -. doi: 10.22099/ijsts.2016.3787
MLA
Mahmoud Mohseni Moghadam; Assma Mahdavi Khanooki. "A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER". Iranian Journal of Science, , , 2016, -. doi: 10.22099/ijsts.2016.3787
HARVARD
Mohseni Moghadam, M., Mahdavi Khanooki, A. (2016). 'A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER', Iranian Journal of Science, (), pp. -. doi: 10.22099/ijsts.2016.3787
VANCOUVER
Mohseni Moghadam, M., Mahdavi Khanooki, A. A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. Iranian Journal of Science, 2016; (): -. doi: 10.22099/ijsts.2016.3787
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