Results 121 to 130 of about 360,754 (261)

Notes on Riemann geometry and integrable systems. Part IV [PDF]

open access: yesarXiv, 2000
The connection between multidimensional soliton equations and three-dimensional Riemann space is discussed.
arxiv  

On the Fractional Inequalities of the Milne Type

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, Hölder inequality, and power‐mean inequality, novel inequalities are derived.
Hüseyin Budak   +2 more
wiley   +1 more source

The rate of convergence of some Riemann-Stieltjes sums [PDF]

open access: yesAutomat. Comput. Appl. Math., 22(1), 2013, 137-145, 2014
We give the rate of convergence of some optimal lower Riemann-Stieltjes sums toward the integral.
arxiv  

A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley   +1 more source

On new inequalities via Riemann-Liouville fractional integration [PDF]

open access: yesarXiv, 2010
In this paper, we extend the Montogomery identities for the Riemann-Liouville fractional integrals. We also use this Montogomery identities to establish some new integral inequalities for convex functions.
arxiv  

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

From integral manifolds and metrics to potential maps

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2004
Our paper contains two main results: (1) the integral manifolds of a distribution together with two Riemann metrics produce potential maps which are in fact least squares approximations of the starting integral manifolds; (2) the least squares energy ...
Udriste, C
doaj   +1 more source

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