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On the extremal solutions for multi-term nonlinear fractional differential equations with nonlinear boundary conditions | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 دی 1400 اصل مقاله (638.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.48310.2018 | ||
| نویسندگان | ||
Hossein Fazli   ؛ Fariba Bahrami؛ Sedaghat Shahmorad
| ||
| Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| This paper is devoted to prove the existence of extremal solutions for multi-term nonlinear fractional differential equations with nonlinear boundary conditions. The fractional derivative is of Caputo type and the inhomogeneous term depends on the fractional derivatives of lower orders. By establishing a new comparison theorem and applying the monotone iterative technique, we show the existence of extremal solutions. The method is a constructive method that yields monotone sequences that converge to the extremal solutions. As an application, some examples are presented to illustrate the main results. | ||
| کلیدواژه‌ها | ||
| Caputo fractional derivative؛ Extremal solutions؛ Existence؛ Approximation؛ Nonlinear boundary conditions | ||
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آمار تعداد مشاهده مقاله: 63 تعداد دریافت فایل اصل مقاله: 94 |
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