Results 1 to 10 of about 1,072,173 (190)

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
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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
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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
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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
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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

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
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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
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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

A New Class of ψ-Caputo Fractional Differential Equations and Inclusion

Journal of Mathematics, 2021
In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ-Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and
Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani   +2 more
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On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions

Fractal and Fractional, 2023
We obtain existence and uniqueness results for the solutions of a system of Caputo fractional differential equations which contain sequential derivatives, integral terms, and two positive parameters, supplemented with general coupled Riemann–Stieltjes ...
Alexandru Tudorache, Rodica Luca
doaj   +1 more source