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Well-posedness and constructive approximation for a nonlinear boundary-value problem with conformable fractional derivative | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 07 مهر 1405 اصل مقاله (264.17 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32715.2973 | ||
| نویسندگان | ||
| Morteza Fekri1؛ Ali khani* 1؛ Asghar Ahmadkhanlu1؛ Vedat Suat Erturk2 | ||
| 1Department of Mathematics, Faculty of Basic Science, Azarbaijan Shahid Madani University, Tabriz, Iran | ||
| 2Department of Mathematics, Ondokuz Mayis University, Atakum-55200, Samsun, Turkey | ||
| چکیده | ||
| In this work, we present an approximate method for solving a type of boundary value problem involving a fractional differential equation with conformable derivatives. This method will be based on Bernstein polynomials. First, the existence and uniqueness of the solution are established, and then the approximate algorithm is presented. After proving the method's convergence, two examples are presented to illustrate the application of the method. | ||
| کلیدواژهها | ||
| Boundary Value Problem؛ Approximate Solution؛ Conformable fractional derivative؛ fixed point | ||
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آمار تعداد مشاهده مقاله: 3 تعداد دریافت فایل اصل مقاله: 2 |
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