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Numerical solution for boundary value problem of fractional order with approximate Integral and derivative | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 2، شماره 3، مهر 2014، صفحه 195-204 اصل مقاله (332.89 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Abdol Ali Neamaty* 1؛ Bahram Agheli1؛ Mohammad Adabitabar2 | ||
| 1Department of Mathematics, University of Mazandaran, Babolsar, Iran | ||
| 2Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran | ||
| چکیده | ||
| Approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. In this paper with central difference approximation and Newton Cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. Three numerical examples are presented to describe the fractional usefulness of the suggested method. | ||
| کلیدواژهها | ||
| Boundary value problems of fractional order؛ Riemann-Liouville fractional derivative؛ Caputo fractional derivative؛ central difference | ||
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