Zobrazeno 1 - 10
of 1 047
pro vyhledávání: '"riemann-liouville fractional integral"'
Publikováno v:
Mathematica Bohemica, Vol 149, Iss 4, Pp 471-490 (2024)
This work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order $n\geq1$. These kinds of equations are a generalization of
Externí odkaz:
https://doaj.org/article/26797ae5ae124541ac4a78740543f107
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-28 (2024)
Abstract In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fracti
Externí odkaz:
https://doaj.org/article/4fba27a38f2b43ee9b08a19b4035dc95
Autor:
Muhammad Latif, Ammara Nosheen, Khuram Ali Khan, Hafiza Bisma Ammara, Ndolane Sene, Y. S. Hamed
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
In this paper, an identity involving Riemann–Liouville fractional integrals is newly produced. Some new extensions of integral inequalities are proved with the help of Hölder, power-mean integral inequalities and newly established identity. Wherea
Externí odkaz:
https://doaj.org/article/b17a6fd66aa24452b265e374c450a9e6
Autor:
H. M. Ahmed
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract We provide here a novel approach for solving IVPs in ODEs and MTFDEs numerically by means of a class of MSJPs. Using the SCM, we build OMs for RIs and RLFI for MSJPs as part of our process. These architectures guarantee accurate and efficien
Externí odkaz:
https://doaj.org/article/158eca88df9f441e942b506ae693a7d8
Autor:
Muhammad Tariq, Sotiris K. Ntouyas, Hijaz Ahmad, Asif Ali Shaikh, Bandar Almohsen, Evren Hincal
Publikováno v:
AIMS Mathematics, Vol 9, Iss 1, Pp 2244-2281 (2024)
A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouvil
Externí odkaz:
https://doaj.org/article/2367407a259d4bb49018208cec2a98a3
Publikováno v:
Fractal and Fractional, Vol 8, Iss 11, p 656 (2024)
This work presents an improved modelling approach for wind turbine power curves (WTPCs) using fractional differential equations (FDE). Nine novel FDE-based models are presented for mathematically modelling commercial wind turbine modules’ power–v
Externí odkaz:
https://doaj.org/article/086b78fdd0de40fba3a87787accc03ff
Publikováno v:
Axioms, Vol 13, Iss 10, p 684 (2024)
Integral inequalities with generalized convexity play a vital role in both theoretical and applied mathematics. The theory of integral inequalities is one of the branches of mathematics that is now developing at the quickest rate due to its wide rang
Externí odkaz:
https://doaj.org/article/af9e91b5934f492b904b1f246443a4c7
Publikováno v:
Foundations, Vol 3, Iss 4, Pp 660-723 (2023)
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals. We have taken into account the classical convex functions,
Externí odkaz:
https://doaj.org/article/9861845a62bd46dfacd30352f0450d31
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:
Alina Alb Lupaş
Publikováno v:
Mathematics, Vol 12, Iss 18, p 2830 (2024)
In this research, we obtained several strong differential subordinations and strong differential superordinations, which gave sandwich-type results for the fractional integral of the extended q-analogue of multiplier transformation.
Externí odkaz:
https://doaj.org/article/a1e8e4a9f06842ddb10bb80f98e4cafe