Riemann–Stieltjes integral ≈ Riemann–Stieltjes integral
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Theory and applications of first-order systems of Stieltjes differential equations Open
We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives. This type of equations contains as particular cases dynamic equations on ti…
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Quadratic Vector Equations On Complex Upper Half-Plane Open
We consider the nonlinear equation $-\frac{1}{m}=z+Sm$ with a parameter $z$ in the complex upper half plane $\mathbb{H} $, where $S$ is a positivity preserving symmetric linear operator acting on bounded functions. The solution with values…
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Existence Theory for a Fractional q-Integro-Difference Equation with q-Integral Boundary Conditions of Different Orders Open
In this paper, we study the existence of solutions for a new class of fractional q-integro-difference equations involving Riemann-Liouville q-derivatives and a q-integral of different orders, supplemented with boundary conditions containin…
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Positive solutions of fractional differential equations involving the Riemann–Stieltjes integral boundary condition Open
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))=0,00 $\lambda>0$, D0+α $D_{0+}^{\alpha}$ is the Riemann–Liouville fracti…
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Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition Open
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. Furthermore, the iter…
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On some integral inequalities for (k,h)-Riemann-Liouville fractional integral Open
In this study, giving the de?nition of fractional integral, which are with the help of synchronous and monotonic function, some fractional integral inequalities have established.
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A Class of Nonlinear Boundary Value Problems for an Arbitrary Fractional-Order Differential Equation with the Riemann-Stieltjes Functional Integral and Infinite-Point Boundary Conditions Open
In this paper, we investigate the existence of an absolute continuous solution to a class of first-order nonlinear differential equation with integral boundary conditions (BCs) or with infinite-point BCs. The Liouville-Caputo fractional de…
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Concept and solution of digital twin based on a Stieltjes differential equation Open
We introduce the concept of a digital twin by using Stieltjes differential equations. A precise mathematical definition of solution to the problem is presented. We also analyze the existence and uniqueness of solutions, introduce the conce…
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Interval oscillation criteria for second-order nonlinear forced differential equations involving variable exponent Open
In this paper, we establish some interval oscillation criteria for a class of second-order nonlinear forced differential equations with variable exponent growth conditions. Our results not only give the sufficient conditions for the oscill…
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Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions Open
Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expe…
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Triple positive solutions for two classes of delayed nonlinear fractional FDEs with nonlinear integral boundary value conditions Open
This paper is concerned with two classes of delayed nonlinear fractional functional differential equations (FDEs) with nonlinear Riemann-Stieltjes integral boundary value conditions. By employing the well-known Leggett-Williams fixed point…
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Nonlocal q-fractional boundary value problem with Stieltjes integral conditions Open
In this paper, we are dedicated to investigating a new class of one-dimensional lower-order fractional q-differential equations involving integral boundary conditions supplemented with Stieltjes integral. This condition is more general as …
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Existence Results for Coupled Nonlinear Sequential Fractional Differential Equations with Coupled Riemann–Stieltjes Integro-Multipoint Boundary Conditions Open
This paper is concerned with the existence of solutions for a fully coupled Riemann–Stieltjes, integro-multipoint, boundary value problem of Caputo-type sequential fractional differential equations. The given system is studied with the aid…
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Positive solutions of second-order problem with dependence on derivative in nonlinearity under Stieltjes integral boundary condition Open
In this paper, we investigate the second-order problem with dependence on derivative in nonlinearity and Stieltjes integral boundary condition \begin{equation*} \begin{cases}-u''(t)=f(t,u(t),u'(t)),\quad t\in[0,1],\\ u(0)=\alpha[u],\quad u…
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Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation Open
In this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution will b…
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Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions Open
We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain. Modern tools of fun…
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Stieltjes and Hamburger Reduced Moment Problem When MaxEnt Solution Does Not Exist Open
For a given set of moments whose predetermined values represent the available information, we consider the case where the Maximum Entropy (MaxEnt) solutions for Stieltjes and Hamburger reduced moment problems do not exist. Genuinely relyin…
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A Modified Derivative-BasedScheme for the Riemann-Stieltjes Integral Open
The Sindh University Research Journal (Science Series) is an international, peer reviewed, open access multidisciplinary science journal, regularly published by faculty of Natural Sciences, University of Sindh, Jamshoro, Sindh, Pakistan si…
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Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions Open
By employing Shauder fixed-point theorem, this work tries to obtain the existence results for the solution of a nonlinear Langevin coupled system of fractional order whose nonlinear terms depend on Caputo fractional derivatives. We study t…
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Cauchy–Stieltjes families with polynomial variance functions and generalized orthogonality Open
This paper studies variance functions of Cauchy–Stieltjes Kernel CSK families generated by compactly supported centered probability measures. We describe several operations that allow us to construct additional variance functions from know…
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Extremal solutions of systems of measure differential equations and applications in the study of Stieltjes differential problems Open
We use lower and upper solutions to investigate the existence of the greatest and the least solutions for quasimonotone systems of measure differential equations. The established results are then used to study the solvability of Stieltjes …
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Existence of Positive Solutions for a System of Singular Fractional Boundary Value Problems with p-Laplacian Operators Open
We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with singular nonnegative nonlinearities and p-Laplacian operators, subject to nonlocal boundary condit…
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Functions of the infinitesimal generator of a strongly continuous quaternionic group Open
The quaternionic analogue of the Riesz–Dunford functional calculus and the theory of semigroups and groups of linear quaternionic operators have recently been introduced and studied. In this paper, we suppose that [Formula: see text] is th…
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Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed-type boundary value conditions Open
In this paper, we consider a new class of singular nonlinear higher order fractional boundary value problems supplemented with sum of Riemann–Stieltjes integral type and nonlocal infinite-point discrete type boundary conditions. The fracti…
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Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions Open
In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemen…
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Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials Open
Spectral and factorization properties of oscillatory matrices lead to a spectral Favard theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in terms of sequences of mixed multiple orthogonal polynomials wit…
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On Total Positivity of Catalan-Stieltjes Matrices Open
Recently Chen-Liang-Wang (Linear Algerbra Appl. 471 (2015) 383—393) proved some sufficient conditions for the total positivity of Catalan-Stieltjes matrices. Our aim is to provide a combinatorial interpretation of their sufficiant conditio…
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Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions Open
In this paper, we investigate a new class of boundary value problems involving fractional differential equations with mixed nonlinearities, and nonlocal multi-point and Riemann–Stieltjes integral-multi-strip boundary conditions. Based on t…
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Bounds for the decay of the entries in inverses and Cauchy–Stieltjes functions of certain sparse, normal matrices Open
Summary It is known that in many functions of banded and, more generally, sparse Hermitian positive definite matrices, the entries exhibit a rapid decay away from the sparsity pattern. This is particularly true for the inverse, and based o…
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Positive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters Open
Through the application of the upper-lower solutions method and the fixed point theorem on cone, under certain conditions, we obtain that there exist appropriate regions of parameters in which the fractional differential equation has at le…