Results 31 to 40 of about 1,072,173 (190)

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
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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

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
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A Modified Derivative-BasedScheme for the Riemann-Stieltjes Integral

, 2020
In this research paper, a new efficient midpoint derivative-based quadrature scheme of trapezoid-type is developed for the approximation of the Riemann-Stieltjes integral. The proposed quadrature scheme is an efficient modification of Zhao etal. midpoint
K. A. Memon, M. M. Shaikh, M. S. Chandio, A. W. Shaikh   +3 more
semanticscholar   +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 results for a functional integro-differential inclusions with Riemann-Stieltjes integral or infinite-point boundary conditions [PDF]

Surveys in Mathematics and its Applications, 2021
In this article, we establish the existence of solutions for initial value problem of fractional-order differential inclusion with nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution on the
A. M. A. EL-Sayed, Sh. M Al-Issa, M. H. Hijazi   +2 more
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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

HERONIAN MEAN DERIVATIVE-BASED SIMPSON’S-TYPE SCHEME FOR RIEMANN-STIELTJES INTEGRAL

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2021
In this paper, a new heronian mean derivative-based quadrature scheme of Simpson’s 1/3-type is proposed for the approximation of the Riemann-Stieltjes integral (RS-integral). Theorems are proved related to the basic form, composite form, local and global
K. Memon
semanticscholar   +1 more source

On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation

Journal of Function Spaces, 2014
We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
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Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2020
By virtue of a recent existing fixed point theorem of increasing φ−h,e-concave operator by Zhai and Wang, we consider the existence and uniqueness of positive solutions for a new system of Caputo-type fractional differential equations with Riemann ...
Hongyu Li, Yang Chen
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