Results 1 to 10 of about 7,475 (192)

Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
This paper deals with the existence and the attractivity of solutions of a class of fractional order functional Riemann-Liouville Volterra-Stieltjes partial integral equations. Our results are obtained by using Schauder's fixed point theorem.
Said Abbas, Mouffak Benchohra, Juan Nieto   +2 more
doaj   +2 more sources

Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions [PDF]

Fractal and Fractional, 2022
A general system of fractional differential equations with coupled fractional Stieltjes integrals and a Riemann–Liouville fractional integral in boundary conditions is studied in the context of pattern formation.
Yuan Ma, Dehong Ji
doaj   +2 more sources

SIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES

Barekeng, 2007
If is limited and []ℜ→baf,:[]ℜ→ba,:α Monotone increase in [, is Riemann-Stieltjes integral able to α on ] ba,[]ba, simply written by[]αRSf∈ if . With JI=()()xdxfIbaα∫= is called Riemann Stieltjes lower integral f to α and ()()xdxfJbaα∫
Francis Y. Rumlawang, Harimanus Batkunde
doaj   +3 more sources

Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem

AIMS Mathematics, 2023
In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an existence
Keyu Zhang , Yaohong Li , Jiafa Xu, Donal O'Regan   +3 more
doaj   +2 more sources

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.
S. S. Dragomir
doaj   +2 more sources

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

Mathematics
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, Xinguang Zhang, Peng Chen, Yonghong Wu   +3 more
doaj   +2 more sources

Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition [PDF]

Abstract and Applied Analysis, 2012
We study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle,
Ge-Feng Yang
doaj   +2 more sources

Positive solutions for a Caputo-type fractional differential equation with a Riemann-Stieltjes integral boundary condition

Electronic Research Archive
In this paper, we study the solvability of positive solutions for a Caputo-type fractional-order Riemann-Stieltjes integral boundary value problem. Under some monotonicity conditions for the nonlinearity, we use the upper-lower solution method to obtain ...
Haixia Li, Xin Liu
doaj   +2 more sources

Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem

Nonlinear Analysis
In this paper, we study a Riemann–Liouville-type fractional Riemann–Stieltjes integral boundary value problem under some conditions regarding the spectral radius of the relevant linear operator.
Yanfang Li, Donal O’Regan, Jiafa Xu
doaj   +3 more sources

On the Riemann-Stieltjes Integral [PDF]

Mathematics Interdisciplinary Research, 2022
This study contributes to the theory of Riemann-Stieltjes integral. We prove that if all continuous piecewise linear functions are Riemann-Stieltjes integrable with respect to a bounded integrator α : [a,b] → R, then α must be of bounded variation on [a ...
Ali Parsian
doaj   +1 more source