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Mohseni Moghadam, Mahmoud, Mahdavi Khanooki, Assma. (1395). A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. , (), -. doi: 10.22099/ijsts.2016.3787
Mahmoud Mohseni Moghadam; Assma Mahdavi Khanooki. "A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER". , , , 1395, -. doi: 10.22099/ijsts.2016.3787
Mohseni Moghadam, Mahmoud, Mahdavi Khanooki, Assma. (1395). 'A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER', , (), pp. -. doi: 10.22099/ijsts.2016.3787
Mohseni Moghadam, Mahmoud, Mahdavi Khanooki, Assma. A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. , 1395; (): -. doi: 10.22099/ijsts.2016.3787

A NEW HYBRID METHOD FOR SOLVING NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

Iranian Journal of Science
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 مرداد 1395
نوع مقاله: Review Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3787
نویسندگان
Mahmoud Mohseni Moghadam* 1؛ Assma Mahdavi Khanooki2
1Mathematics Departments Shahid Bahonar University of Kerman Kerman IRAN
2Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran
چکیده
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.
کلیدواژه‌ها
Key words and phrases. Fractional integro-di erential equation؛ Ortonormal Bernstein polynomials؛ Hybrid functions؛ Operational matrix
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