Results 31 to 40 of about 1,119,897 (215)

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

Boundary value problems for Hilfer type sequential fractional differential equations and inclusions involving Riemann–Stieltjes integral multi-strip boundary conditions

, 2021
In this paper, we study boundary value problems for sequential fractional differential equations and inclusions involving Hilfer fractional derivatives, supplemented with Riemann–Stieltjes integral multi-strip boundary conditions.
Cholticha Nuchpong, S. Ntouyas, A. Samadi, J. Tariboon   +3 more
semanticscholar   +1 more source

The Perturbed Median Principle for Integral Inequalities with Applications [PDF]

, 2009
In this paper a perturbed version of the Median Principle introduced by the author in 'The median principle for inequalities and applications' is developed.
Dragomir, Sever S
core   +1 more source

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

Mathematical methods in the applied sciences, 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   +1 more source

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

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

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

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

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

Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials [PDF]

, 2009
We investigate the asymptotic zero distribution of Heine-Stieltjes polynomials - polynomial solutions of a second order differential equations with complex polynomial coefficients.
Martinez-Finkelshtein, A., Rakhmanov, E. A.   +1 more
core   +4 more sources