Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions
سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 70
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شناسه ملی سند علمی:
JR_CMDE-12-3_002
تاریخ نمایه سازی: 23 خرداد 1403
چکیده مقاله:
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.
کلیدواژه ها:
نویسندگان
Abdelati El Allaoui
MISCOM, National School of Applied Sciences, Cadi Ayyad University, Marrakech, Morocco
Youssef Allaoui
LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane University, Beni Mellal, Morocco
Said Melliani
LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane University, Beni Mellal, Morocco
Hamid El Khalfi
Lab. LMRI, FP of Khouribga, Sultan Moulay Slimane University, Morroco