Results 1 to 10 of about 1,287,523 (215)

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   +3 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   +3 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   +4 more sources

Lyapunov inequality for a Caputo fractional differential equation with Riemann–Stieltjes integral boundary conditions

Mathematical Methods in the Applied Sciences, Volume 46, Issue 12, Page 13110-13123, August 2023., 2023
In this a Lyapunov‐type inequality is obtained for the fractional differential equation with Caputo derivative  CDaγx(t)+q(t)x(t)=0 ...
S. Srivastava, S. Pati, S. Padhi, A. Domoshnitsky   +3 more
semanticscholar   +2 more sources

Riemann-Stieltjes Integral boundary value problems involving mixed Riemann-Liouville and Caputo fractional derivatives [PDF]

Journal of Nonlinear Functional Analysis, 2021
In this paper, we present the existence and uniqueness of solutions for a fractional integrodifferential equation involving both Riemann-Liouville and Caputo derivatives equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions.
Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, Sotiris K. Ntouyas   +3 more
openalex   +2 more sources

Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann–Stieltjes integral boundary value conditions

Advances in Difference Equations, 2020
In this work, the aim is to discuss a new class of singular nonlinear higher-order fractional boundary value problems involving multiple Riemann–Liouville fractional derivatives.
Lishan Liu, Dandan Min, Yonghong Wu
doaj   +2 more sources

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

Positive solutions of fractional differential equations involving the Riemann–Stieltjes integral boundary condition

Advances in Difference Equations, 2018
In this article, the following boundary value problem of fractional differential equation with Riemann–Stieltjes integral boundary condition {D0+αu(t)+λf(t,u(t),u(t))=0 ...
Qilin Song, Zhanbing Bai
doaj   +2 more sources

Existence and computation of Riemann-Stieltjes integrals through Riemann integrals [PDF]

arXiv, 2011
We study the existence of Riemann-Stieltjes integrals of bounded functions against a given integrator. We are also concerned with the possibility of computing the resulting integrals by means of related Riemann integrals. In particular, we present a new generalization to the well-known formula for continuous integrands and continuously differentiable ...
Rodrigo López Pouso
arxiv   +3 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