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Nonlinear fractional differential equations with advanced arguments | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1413-1423 اصل مقاله (380.36 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.13473.1697 | ||
| نویسندگان | ||
| Bakr H Rizqan* 1؛ Dnyanoba Dhaigude2 | ||
| 1Department of Mathematics, Faculty of Education, Applied Sciences and Arts, Amran University, Amran, Yemen | ||
| 2Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, India | ||
| تاریخ دریافت: 30 آذر 1396، تاریخ پذیرش: 07 مهر 1399 | ||
| چکیده | ||
| In this paper, we develop the existence and uniqueness theory of fractional differential equation involving Riemann-Liouville differential operator of order $0 < \alpha< 1$, with advanced argument and integral boundary conditions. We investigate the uniqueness of the solution by using Banach fixed point theorem, we apply the comparison result to obtain the existence and uniqueness of solution by monotone iterative technique also by using weakly coupled extremal solution for the nonlinear boundary value problem (BVP). As an application of this technique, existence and uniqueness results are obtained. | ||
| کلیدواژه‌ها | ||
| Fractional di¤erential equations with advanced argument؛ Riemann-Liouville fractional derivatives؛ existence and uniqueness؛ monotone iterative technique؛ lower and upper solution؛ integral boundary condition | ||
| مراجع | ||
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