Results 41 to 50 of about 1,119,897 (215)

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
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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
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
doaj  

EFFICIENT DERIVATIVE-BASED SIMPSON’S 1/3-TYPE SCHEME USING CENTROIDAL MEAN FOR RIEMANN-STIELTJES INTEGRAL

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

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   +1 more source

Existence and Uniqueness for Coupled Systems of Hilfer Type Sequential Fractional Differential Equations Involving Riemann–Stieltjes Integral Multistrip Boundary Conditions

Journal of Mathematics, 2022
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, Sotiris K. Ntouyas, Suphawat Asawasamrit, Jessada Tariboon   +3 more
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Extension of rate of change concept: From local to nonlocal operators with applications

Results in Physics, 2020
The concept of rate of change gave birth to numerous important theories and applications in mathematics, applied mathematics and other related academic disciplines.
Abdon Atangana
doaj   +1 more source

Existence of Solutions to a System of Riemann-Liouville Fractional Differential Equations with Coupled Riemann-Stieltjes Integrals Boundary Conditions

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
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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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Fractional Calculus for Non-Discrete Signed Measures

Mathematics
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, Elina L. Shishkina   +1 more
doaj   +1 more source