Results 81 to 90 of about 7,667 (234)

A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications

Journal of Inequalities and Applications, 2008
A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.
Dragomir SS
doaj  

Existence Results for the System of Fractional‐Order Sequential Integrodifferential Equations via Liouville–Caputo Sense

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We investigate the conditions for the existence and uniqueness of solutions in a nonlinear system of sequential fractional differential equations using the Liouville–Caputo type with varying orders. This system is enriched by nonlocal coupled integral boundary conditions.
Muath Awadalla, Manigandan Murugesan, Subramanian Muthaiah, Jihan Alahmadi, Dimitri Mugnai   +4 more
wiley   +1 more source

Fractional-order multivalued problems with non-separated integral-flux boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper, we study the existence of solutions for a new kind of boundary value problem of Caputo type fractional differential inclusions with non-separated local and nonlocal integral-flux boundary conditions.
Bashir Ahmad, Sotiris Ntouyas
doaj   +1 more source

Unified Approach to the Existence of Solutions for a Coupled System of Fractional Differential‐Integral Equations with Infinite Points and Riemann–Stieltjes Integral Boundary Conditions [PDF]

, 2022
Ying Chen, Lishan Liu, Fang Wang
openalex   +1 more source

Nontrivial solutions for a Hadamard fractional integral boundary value problem

Electronic Research Archive
In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have ...
Keyu Zhang, Qian Sun, Jiafa Xu
doaj   +1 more source

A note on some constants related to the zeta-function and their relationship with the Gregory coefficients

, 2017
In this paper new series for the first and second Stieltjes constants (also known as generalized Euler's constant), as well as for some closely related constants are obtained.
Blagouchine, Iaroslav V., Coppo, Marc-Antoine   +1 more
core  

Positive Solutions for a Class of Nonlinear Singular Fractional Differential Systems with Riemann–Stieltjes Coupled Integral Boundary Value Conditions [PDF]

, 2021
Daliang Zhao, Juan Mao
openalex   +1 more source

Quasi Grüss Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary Operators in Hilbert Spaces

Extracta Mathematicae, 2016
Some quasi Grüss type inequalities for the Riemann-Stieltjes integral of continuous complex valued integrands defined on the complex unit circle C(0, 1) and various subclasses of integrators are given.
S.S. Dragomir
doaj  

Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions

Journal of Function Spaces, 2018
This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

Positive solutions of Riemann-Stieltjes integral boundary problems for the nonlinear coupling system involving fractional-order differential [PDF]

, 2014
Kaihong Zhao, Ping Gong
openalex   +1 more source