Results 71 to 80 of about 5,231 (286)

On Solution Representation of Generalized Abel Integral Equation

open access: yesJournal of Mathematics, 2013
An explicit representation for solution of the generalized Abel integral equation , where is the Riemann-Liouville fractional integral, in terms of the Wright function, is constructed.
Arsen Pskhu
doaj   +1 more source

A Probabilistic Proof for Representations of the Riemann Zeta Function

open access: yesMathematics, 2019
In this paper, we present a different proof of the well known recurrence formula for the Riemann zeta function at positive even integers, the integral representations of the Riemann zeta function at positive integers and at fractional points by means of ...
Jiamei Liu, Yuxia Huang, Chuancun Yin
doaj   +1 more source

The Essential Gronwall Inequality Demands the $\left(\rho,\varphi \right) -$Fractional Operator with Applications in Economic Studies

open access: yesUniversal Journal of Mathematics and Applications
Gronwall's inequalities are important in the study of differential equations and integral inequalities. Gronwall inequalities are a valuable mathematical technique with several applications.
Rabha Ibrahim   +2 more
doaj   +1 more source

On New Inequalities via Riemann-Liouville Fractional Integration

open access: yesAbstract and Applied Analysis, 2012
We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities.
Mehmet Zeki Sarikaya, Hasan Ogunmez
doaj   +1 more source

On Henstock-Dunford and Henstock-Pettis integrals

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We give the Riemann-type extensions of Dunford integral and Pettis integral, Henstock-Dunford integral and Henstock-Pettis integral. We discuss the relationships between the Henstock-Dunford integral and Dunford integral, Henstock-Pettis integral and ...
Ye Guoju, An Tianqing
doaj   +1 more source

Modeling General Asymptotic Calabi–Yau Periods

open access: yesFortschritte der Physik, EarlyView.
Abstract In the quest to uncovering the fundamental structures that underlie some of the asymptotic Swampland conjectures the authors initiate the general study of asymptotic period vectors of Calabi–Yau manifolds. The strategy is to exploit the constraints imposed by completeness, symmetry, and positivity, which are formalized in asymptotic Hodge ...
Brice Bastian   +2 more
wiley   +1 more source

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

open access: yesFortschritte der Physik, EarlyView.
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis   +3 more
wiley   +1 more source

The Existence of Positive Solutions for a p-Laplacian Tempered Fractional Diffusion Equation Using the Riemann–Stieltjes Integral Boundary Condition

open access: yesMathematics
In this paper, we focus on the existence of positive solutions for a class of p-Laplacian tempered fractional diffusion equations involving a lower tempered integral operator and a Riemann–Stieltjes integral boundary condition. By introducing certain new
Lishuang Li   +3 more
doaj   +1 more source

Some generalized Riemann-Liouville k-fractional integral inequalities

open access: yesJournal of Inequalities and Applications, 2016
The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal   +2 more
doaj   +1 more source

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