Zobrazeno 1 - 10
of 97
pro vyhledávání: '"fractional inequalities"'
Autor:
Saleh S. Redhwan, Tariq A. Aljaaidi, Ali Hasan Ali, Maryam Ahmed Alyami, Mona Alsulami, Najla Alghamdi
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100836- (2024)
Careful study of applied sciences and their development requires us to expand the scope of analytical studies. We aim during introducing the current manuscript to rediscover and present Grüss inequality in a new framework. In order to do that, we us
Externí odkaz:
https://doaj.org/article/03f97e8aa7c84b209a09590bb2f32321
Autor:
Redhwan, Saleh S. a, Aljaaidi, Tariq A. b, Ali, Ali Hasan c, d, e, f, ⁎, Alyami, Maryam Ahmed g, Alsulami, Mona g, Alghamdi, Najla g
Publikováno v:
In Partial Differential Equations in Applied Mathematics September 2024 11
Publikováno v:
Axioms, Vol 13, Iss 10, p 666 (2024)
The correct derivation of integral inequalities on fuzzy-number-valued mappings depends on applying fractional calculus to fuzzy number analysis. The purpose of this article is to introduce a new class of convex mappings and generalize various previo
Externí odkaz:
https://doaj.org/article/1237099b44af40f6add06ee4455ce5e7
Autor:
Sabila Ali, Rana Safdar Ali, Miguel Vivas-Cortez, Shahid Mubeen, Gauhar Rahman, Kottakkaran Sooppy Nisar
Publikováno v:
AIMS Mathematics, Vol 7, Iss 8, Pp 13832-13844 (2022)
In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and differen
Externí odkaz:
https://doaj.org/article/bbf63037671b4a1dbf4c169d582d7592
Autor:
Sabila Ali, Shahid Mubeen, Rana Safdar Ali, Gauhar Rahman, Ahmed Morsy, Kottakkaran Sooppy Nisar, Sunil Dutt Purohit, M. Zakarya
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 9705-9730 (2021)
The main goal of this paper is to develop the significance of generalized fractional integral inequalities via convex functions. We obtain the new version of fractional integral inequalities with the extended Wright generalized Bessel function acting
Externí odkaz:
https://doaj.org/article/ddeaa637a97d4e93ac72d602de334a34
Autor:
Anastassiou George A.
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 8, Iss 1, Pp 128-147 (2022)
Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms
Externí odkaz:
https://doaj.org/article/7ec8a0eb8f1d450184c0a53818a3598a
Autor:
Tariq A. Aljaaidi, Deepak B. Pachpatte, Thabet Abdeljawad, Mohammed S. Abdo, Mohammed A. Almalahi, Saleh S. Redhwan
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-19 (2021)
Abstract The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations. Fractional calculus has been found
Externí odkaz:
https://doaj.org/article/83fdc9dddacc4c329eb3642433d6ac7e
Publikováno v:
Axioms, Vol 12, Iss 9, p 886 (2023)
The primary intent of this study is to establish some important inequalities of the Hermite–Hadamard, trapezoid, and midpoint types under fractional extended Riemann–Liouville integrals (FERLIs). The proofs are constructed using the renowned Jens
Externí odkaz:
https://doaj.org/article/e5f3c1db3651404aac340b05db96ebd6
Autor:
Tariq A. Aljaaidi, Deepak B. Pachpatte, Wasfi Shatanawi, Mohammed S. Abdo, Kamaleldin Abodayeh
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-17 (2021)
Abstract In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ. The functions used
Externí odkaz:
https://doaj.org/article/b4d95fca825e43a9ba8cd818f3ee2c35
Autor:
Majid K. Neamah, Alawiah Ibrahim
Publikováno v:
AIMS Mathematics, Vol 6, Iss 10, Pp 10765-10777 (2021)
In this paper, we establish some inequalities for convex functions by applying the generalized proportional fractional integral. Some new results by using the linkage between the proportional fractional integral and the Riemann-Liouville fractional i
Externí odkaz:
https://doaj.org/article/e6acb60d47ef450c99805eca5987d260