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Non-resonant Nabla fractional boundary value problems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 16، شماره 9، آذر 2025، صفحه 41-55 اصل مقاله (397.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.26401.4430 | ||
| نویسنده | ||
| Jagan Mohan Jonnalagadda* | ||
| Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad, Telangana 500078, India | ||
| تاریخ دریافت: 15 اردیبهشت 1402، تاریخ بازنگری: 15 مهر 1402، تاریخ پذیرش: 25 مهر 1402 | ||
| چکیده | ||
| We consider two simple non-resonant boundary value problems for a nabla fractional difference equation. First, we construct associated Green's functions and obtain some of their properties. Under suitable constraints on the nonlinear part of the nabla fractional difference equation, we deduce sufficient conditions for the existence of solutions to the considered problems through an appropriate fixed point theorem. We also provide two examples to demonstrate the applicability of the established results. | ||
| کلیدواژهها | ||
| Nabla fractional difference؛ boundary value problem؛ Green's function؛ resonance؛ memory property؛ fixed point؛ existence of a solution | ||
| مراجع | ||
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