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Gr$\ddot{u}$ss type integral inequalities for a new class of $k$-fractional integrals | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 42، دوره 12، شماره 1، مرداد 2021، صفحه 541-554 اصل مقاله (435.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4836 | ||
| نویسندگان | ||
| Sidra Habib1؛ Ghulam Farid* 2؛ Shahid Mubeen3 | ||
| 1Department of Mathematics, G.C. University Faisalabad, Faisalabad, Pakistan | ||
| 2Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan | ||
| 3Department of Mathematics, University of Sargodha, Sargodha, Pakistan | ||
| تاریخ دریافت: 07 خرداد 1397، تاریخ بازنگری: 20 آبان 1398، تاریخ پذیرش: 17 بهمن 1398 | ||
| چکیده | ||
| The main aim of this research article is to present the generalized $k$-fractional conformable integrals and an improved version of Gr$\ddot{u}$ss integral inequality via the fractional conformable integral in status of a new parameter $k>0$. Here for establishing Gr$\ddot{u}$ss inequality in fractional calculus the classical method of proof has been adopted also related results with Gr$\ddot{u}$ss inequality have been discussed. This work contributes in the current research by providing mathematical results along with their verifications. | ||
| کلیدواژه‌ها | ||
| $k$-fractional conformable integrals؛ Fractional integral inequalities؛ Gr$\ddot{u}$ss inequality | ||
| مراجع | ||
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