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Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 آذر 1402 اصل مقاله (1.13 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2023.56512.2363 | ||
نویسندگان | ||
Abdelati El Allaoui* 1؛ Youssef Allaoui2؛ Said Melliani2؛ Hamid El Khalfi3 | ||
1MISCOM, National School of Applied Sciences, Cadi Ayyad University, Marrakech, Morocco | ||
2LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane University, Beni Mellal, Morocco | ||
3Lab. LMRI, FP of Khouribga, Sultan Moulay Slimane University, Morroco | ||
چکیده | ||
This paper delves into the identification of upper and lower solutions for a high-order fractional integro-differential equation featuring non-linear boundary conditions. By introducing an order relation, we define these upper and lower solutions. Through a rigorous approach, we demonstrate the existence of these solutions as the limits of sequences derived from carefully selected problems, supported by the application of Arzel\`a-Ascoli's theorem. To illustrate the significance of our findings, we provide an illustrative example. This research contributes to a deeper understanding of solutions in the context of complex fractional integro-differential equations. | ||
کلیدواژهها | ||
Arzelà Ascoli's theorem؛ Caputo fractional derivative؛ Integro-differential equation؛ Nonlinear boundary conditions | ||
آمار تعداد مشاهده مقاله: 89 تعداد دریافت فایل اصل مقاله: 70 |