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On fractional differential equations and fixed point theory | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 679-697 اصل مقاله (390.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.17291.1920 | ||
| نویسنده | ||
| Mohadeseh Paknazar* | ||
| Department of Mathematics Education, Farhangian University, Tehran, Iran. | ||
| تاریخ دریافت: 07 اسفند 1397، تاریخ بازنگری: 01 دی 1398، تاریخ پذیرش: 01 دی 1398 | ||
| چکیده | ||
| In this work first we establish some fixed point theorems for $\bot-$Mizoguchi-Takahashi contractions mappings in the setting of orthogonal metric spaces. Next, we investigate the existence of solution for certain fractional differential equation via some integral boundary value conditions and obtained fixed point results. | ||
| کلیدواژهها | ||
| fixed point؛ Reich's conjecture؛ fractional differential equation | ||
| مراجع | ||
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