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The Combined Reproducing Kernel Method and Taylor Series For Handling Fractional Differential Equations
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نویسنده
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Alvandi A. ,Paripour M.
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منبع
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International Journal Of Industrial Mathematics - 2018 - دوره : 10 - شماره : 4 - صفحه:349 -358
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چکیده
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This paper presents the numerical solution for a class of fractional differential equations. the fractional derivatives are described in the caputo [1] sense. we developed a reproducing kernel method (rkm) to solve fractional differential equations in reproducing kernel hilbert space. this method cannotbe used directly to solve these equations, so an equivalent transformation is made by using taylor series. some numerical examples are studied to demonstrate the accuracy of the given method.
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کلیدواژه
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Kernel; Reproducing Kernel; Fractional Differential Equation; Fractional Derivative
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آدرس
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Islamic Azad University, Hamedan Branch, Department Of Mathematics, Iran, Hamedan University Of Technology, Department Of Computer Engineering And Information Technology, Iran
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پست الکترونیکی
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paripour@hut.ac.ir
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Authors
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