Some new results using Hadamard fractional integral | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 11، دوره 7، شماره 1، 2016، صفحه 103-109 اصل مقاله (343.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2015.299 | ||
| نویسندگان | ||
| Sabrina Taf* 1؛ Kamel Brahim2 | ||
| 1Department of Mathematic, Faculty SEI, UMAB University of Mostaganem, Algeria | ||
| 2Faculty of science of Tunis, Tunisia | ||
| چکیده | ||
| Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. The purpose of this work is to use Hadamard fractional integral to establish some new integral inequalities of Gruss type by using one or two parameters which ensues four main results . Furthermore, other integral inequalities of reverse Minkowski's type are obtained for positive functions resulting in two theorems. | ||
| کلیدواژهها | ||
| Hadamard fractional integral؛ Fractional integral inequalities؛ Minkowski's inequality | ||
|
آمار تعداد مشاهده مقاله: 18,869 تعداد دریافت فایل اصل مقاله: 14,927 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 723 |
| تعداد مقالات | 10,384 |
| تعداد مشاهده مقاله | 72,841,872 |
| تعداد دریافت فایل اصل مقاله | 64,539,167 |