Analytical investigation of fractional differential inclusion with a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions [PDF]
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
Quadratic integrals of geodesic flow, webs, and integrable billiards [PDF]
We present a geometric interpretation of integrability of geodesic flow by quadratic integrals in terms of the web theory and construct integrable billiards on surfaces admitting such integrals.
arxiv +1 more source
A Unified Approach to Some Classes of Nonlinear Integral Equations
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+2 more
doaj +1 more source
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+3 more
semanticscholar +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
doaj
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
doaj +1 more source
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
doaj +1 more source