Results 101 to 110 of about 127,882 (296)

On post-quantum multiparameter Riemann–Liouville fractional integral inequalities with application

Journal of Inequalities and Applications
Post-quantum integral inequalities involving the Riemann–Liouville fractional integral have a significant role in understanding and modeling systems with nonlocal interactions; anomalous diffusion and memory effects make them indispensable for addressing
Sobia Rafeeq, Sabir Hussain, Drakhshan Mansab, Hijaz Ahmad, Taha Radwan   +4 more
doaj   +1 more source

A Random Riemann–Liouville Integral Operator

Mathematics
In this work, we propose a definition of the random fractional Riemann–Liouville integral operator, where the order of integration is given by a random variable.
Jorge Sanchez-Ortiz, Omar U. Lopez-Cresencio, Martin P. Arciga-Alejandre, Francisco J. Ariza-Hernandez   +3 more
doaj   +1 more source

On the Riesz-Riemann-Liouville Integral [PDF]

, 1947
E. T. Copson
openalex   +1 more source

Fractional Calculus for Non-Discrete Signed Measures

Mathematics
In this paper, we suggest a first-ever construction of fractional integral and differential operators based on signed measures including a vector-valued case. The study focuses on constructing the fractional power of the Riemann–Stieltjes integral with a
Vassili N. Kolokoltsov, Elina L. Shishkina   +1 more
doaj   +1 more source

On Henstock-Dunford and Henstock-Pettis integrals

International 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

A Probabilistic Proof for Representations of the Riemann Zeta Function

Mathematics, 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

A note on the generalized Riemann integral [PDF]

Proceedings of the American Mathematical Society, 1988
We show that the generalized Riemann integral can be defined by means of gage functions which are upper semicontinuous when restricted to a suitable subset whose complement has measure zero.
openaire   +2 more sources

Remaining Useful Life Modelling With an Escalator Health Condition Analytic System

Quality and Reliability Engineering International, EarlyView.
ABSTRACT An escalator's refurbishment is usually linked with its design life as recommended by the manufacturer. However, the actual useful life of an escalator should be determined by its operating condition, which is affected by the runtime, workload, maintenance quality and vibration, rather than age only. The objective of this project is to develop
Inez M. Zwetsloot, Yu Lin, Jiaqi Qiu, Lishuai Li, William Ka Fai Lee, Edmond Yin San Yeung, Colman Yiu Wah Yeung, Chris Chun Long Wong   +7 more
wiley   +1 more source

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

Universal 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, Zoubir Dahmani, Mohamed Bezzıou   +2 more
doaj   +1 more source

On Solution Representation of Generalized Abel Integral Equation

Journal 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