Results 31 to 40 of about 1,287,523 (215)

A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016
A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral ∫ab f(t)du(t), where f is assumed to be of r-H-Hölder type on [a,b] and u is of bounded variation on [a,b], is proved.
Mohammad W. Alomari
doaj   +1 more source

A new Simpson’s 1/3-type quadrature scheme with geometric mean derivative for the Riemann-Stieltjes integral

SINDH UNIVERSITY RESEARCH JOURNAL -SCIENCE SERIES, 2021
The main purpose of this research is to develop and improve the Simpson’s 1/3-type quadrature scheme numerically utilizing the geometric mean derivative for the Riemann- Stieltjes integral.
K. Memon, M. M. Shaikh, K. Malik, M. S. Chandio, A. W. Shaikh   +4 more
semanticscholar   +1 more source

Existence of solutions for a higher order Riemann–Liouville fractional differential equation by Mawhin's coincidence degree theory

Mathematical Methods in the Applied Sciences, Volume 46, Issue 11, Page 12018-12034, 30 July 2023., 2023
In this paper, we investigate the existence of at least one solution to the following higher order Riemann–Liouville fractional differential equation with Riemann–Stieltjes integral boundary condition at resonance: −(D0+αx)(t)=f(t,x(t),D0+α−1x(t)),n−1<α≤n,t∈[0,1],x(0)=x′(0)=…=x(n−2)(0)=0,x(k)(1)=∫01x(k)(t)dA(t),$$ {\displaystyle \begin{array}{cc}\hfill
Alexander Domoshnitsky, Satyam Narayan Srivastava, Seshadev Padhi   +2 more
wiley   +1 more source

On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation

Mathematics, 2021
In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral
Ahmed El-Sayed, Eman Hamdallah, Hanaa Ebead   +2 more
doaj   +1 more source

Refinable Trapezoidal Method on Riemann–Stieltjes Integral and Caputo Fractional Derivatives for Non-Smooth Functions

Fractal and Fractional, 2023
The Caputo fractional α-derivative ...
Gopalakrishnan Karnan, C. Yen
semanticscholar   +1 more source

Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model

Abstract and Applied Analysis, 2013
We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and ...
Rui Li, Haoqian Zhang, Hao Tao
doaj   +1 more source

Analytical investigation of fractional differential inclusion with a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions [PDF]

Journal of Mahani Mathematical Research, 2023
Here, we investigate the existence of solutions for the initial value problem of fractional-order differential inclusion containing a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions.
I.H. Kaddoura, Sh.M. Al-Issa, H. Hamzae
doaj   +1 more source

Quadratic integrals of geodesic flow, webs, and integrable billiards [PDF]

, 2020
We present a geometric interpretation of integrability of geodesic flow by quadratic integrals in terms of the web theory and construct integrable billiards on surfaces admitting such integrals.
arxiv   +1 more source

A Unified Approach to Some Classes of Nonlinear Integral Equations

Journal of Function Spaces, 2014
We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and ...
Nurgali K. Ashirbayev, Józef Banaś, Raina Bekmoldayeva   +2 more
doaj   +1 more source

Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition

Advances in Differential Equations, 2018
In this article, we first establish an existence and uniqueness result for a class of systems of nonlinear operator equations under more general conditions by means of the cone theory and monotone iterative technique.
Xinqiu Zhang, Lishan Liu, Yonghong Wu, Y. Zou   +3 more
semanticscholar   +1 more source