Results 41 to 50 of about 1,287,523 (215)
A Modified Derivative-BasedScheme for the Riemann-Stieltjes Integral
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+3 more
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HERONIAN MEAN DERIVATIVE-BASED SIMPSON’S-TYPE SCHEME FOR RIEMANN-STIELTJES INTEGRAL
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
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On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
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 results for a functional integro-differential inclusions with Riemann-Stieltjes integral or infinite-point boundary conditions [PDF]
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+2 more
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Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations
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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In this paper, we study a coupled system of Hilfer type sequential fractional differential equations supplemented with Riemann–Stieltjes integral multistrip boundary conditions.
Ayub Samadi+3 more
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Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions [PDF]
We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the
Qingkai Kong, Thomas E. St. George
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Integrable hydrodynamic chains [PDF]
A new approach for derivation of Benney-like momentum chains and integrable hydrodynamic type systems is presented. New integrable hydrodynamic chains are constructed, all their reductions are described and integrated. New (2+1) integrable hydrodynamic type systems are found.
arxiv +1 more source
Fractional Calculus for Non-Discrete Signed Measures
In this paper, we suggest a first-ever construction of fractional integral and differential operators based on signed measures including a vector-valued case. The study focuses on constructing the fractional power of the Riemann–Stieltjes integral with a
Vassili N. Kolokoltsov+1 more
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Riemann-Stieltjes integration in Riesz spaces [PDF]
After introducing an integral for Riesz-space valued integral functions, this concept is used to represent the variation of a continuous function, to define integrals along a curve and Riemann-Stieltjes integrals, and to deduce from them, as particular
D. CANDELORO
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