Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Abd-Allah Hyder"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 19771-19785 (2024)
In this study, a specific identity was derived for functions that possess two continuous derivatives. Through the utilization of this identity and Riemann-Liouville fractional integrals, several fractional Milne-type inequalities were established for
Externí odkaz:
https://doaj.org/article/eb7ca40fe37244df8a13a2dbe1ee9994
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18417-18439 (2024)
This research paper investigated weighted Milne-type inequalities utilizing Riemann-Liouville fractional integrals across diverse function classes. A key contribution lies in the establishment of a fundamental integral equality, facilitated by the us
Externí odkaz:
https://doaj.org/article/58f71c575ac549069ed261f7b501f6e8
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11228-11246 (2024)
This study focused on deriving Milne-type inequalities using expanded fractional integral operators. We began by establishing a key equality associated with these operators. Using this equality, we explored Milne-type inequalities for functions with
Externí odkaz:
https://doaj.org/article/9767787403c94e10bcf3e0afb3d46d34
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 534 (2024)
In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for
Externí odkaz:
https://doaj.org/article/b7cf97e57d50421697077e72493f61ea
Autor:
Hüseyin Budak, Abd-Allah Hyder
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30760-30776 (2023)
In this research article, we present novel extensions of Milne type inequalities to the realm of Riemann-Liouville fractional integrals. Our approach involves exploring significant functional classes, including convex functions, bounded functions, Li
Externí odkaz:
https://doaj.org/article/d4888a942fe344a88c4873b5315aeb44
Autor:
Abdelraheem M. Aly, Abd-Allah Hyder
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 31050-31069 (2023)
A novel treatment of fractional-time derivative using the incompressible smoothed particle hydrodynamics (ISPH) method is introduced to simulate the bioconvection flow of nano-enhanced phase change materials (NEPCM) in a porous hexagonal cavity. The
Externí odkaz:
https://doaj.org/article/6b793caa84724231961635733b402e81
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 29411-29423 (2023)
The latest iterations of Simpson-type inequalities (STIs) are the topic of this paper. These inequalities were generated via convex functions and tempered fractional integral operators (TFIOs). To get these sorts of inequalities, we employ the well-k
Externí odkaz:
https://doaj.org/article/a8386af2dfb647699e1f35a28b26ab46
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-12 (2023)
Abstract Fractional inequalities play a crucial role in building mathematical mechanisms and their related solution functions across the majority of practical science domains. A variety of mathematical disciplines are significantly impacted by convex
Externí odkaz:
https://doaj.org/article/f1eb8e9e16b94c34908fe580879f3caa
Publikováno v:
Journal of Function Spaces, Vol 2024 (2024)
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Externí odkaz:
https://doaj.org/article/80fc2f1d16eb4f34b370c5fb920855b7
Publikováno v:
Scientific Reports, Vol 13, Iss 1, Pp 1-11 (2023)
Abstract This article presents a novel mathematical fractional model to examine the transmission of HIV. The new HIV model is built using recently fractional enlarged differential and integral operators. The existence and uniqueness findings for the
Externí odkaz:
https://doaj.org/article/67c0b43f622a4632bfbb6d5440760121