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Existence and uniqueness outcomes for a nonlinear fractional differential equation of high order featuring nonlocal boundary conditions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 21 تیر 1404 اصل مقاله (654.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33212.4943 | ||
| نویسندگان | ||
| Elyas Shivanian* 1؛ Abdollah Dinmohammadi2 | ||
| 1Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran | ||
| 2Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran | ||
| تاریخ دریافت: 17 بهمن 1402، تاریخ بازنگری: 16 اسفند 1402، تاریخ پذیرش: 29 آبان 1403 | ||
| چکیده | ||
| This study centers on establishing the existence of a unique solution for a class of fractional differential equations that incorporate the Riemann-Liouville fractional derivative. The boundary conditions encompass a nonlocal condition involving integration in a sub-domain near the boundary. Initially, the precise solution is derived for the linear fractional differential equation. Subsequently, the Banach contraction mapping theorem is employed to establish the primary result for the general nonlinearity of the source term. Additionally, the validity and applicability of our primary result are illustrated through a specific example. | ||
| کلیدواژه‌ها | ||
| Fractional differential equations؛ Integral boundary conditions؛ Riemann-liouville derivative؛ Fixed point theorem | ||
| مراجع | ||
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