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Positive Solutions for a Conformable Fractional Boundary Value Problem with a Numerical Approach | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 آبان 1404 اصل مقاله (1.29 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.65862.3053 | ||
| نویسندگان | ||
| Asghar Ahmadkhanlu* 1؛ Roya Mohebbi1؛ Vedat Suat Erturk2؛ Ali Khani1 | ||
| 1Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. | ||
| 2Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayıs University, Samsun, Türkiye . | ||
| چکیده | ||
| This work introduces a novel approach to analyzing a class of conformable fractional boundary value problems. By employing a combination of standard and newly developed fixed-point theorems, we establish sufficient conditions for the existence and uniqueness of positive solutions. The proposed method offers several advantages over traditional techniques, including its simplicity and computational efficiency. Moreover, we construct a sequence of successive approximations that converge to the unique positive solution, providing a practical tool for numerical simulations. Our findings have significant implications for various fields, including physics, engineering, and biology, where conformable fractional differential equations are used to model complex phenomena. | ||
| کلیدواژه‌ها | ||
| Fractional boundary value problem؛ Fixed point theorems؛ Successive sequences | ||
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آمار تعداد مشاهده مقاله: 30 تعداد دریافت فایل اصل مقاله: 61 |
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