Results 31 to 40 of about 7,667 (234)
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
doaj +1 more source
Fractional Calculus for Non-Discrete Signed Measures
MathematicsIn 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
doaj +1 more source
Advances in Difference Equations, 2018 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 ...
Qilin Song, Zhanbing Bai
doaj +1 more source
Neural Controlled Differential Equation and Its Application in Pharmacokinetics and Pharmacodynamics
CPT: Pharmacometrics &Systems Pharmacology, Volume 15, Issue 1, January 2026.Neural controlled differential equations (NCDE), driven by control variables, are capable to learn the discontinuous dynamics in the PK and PD datasets. ABSTRACT With the recent advances in machine learning (ML) and artificial intelligence (AI), data‐driven modeling approaches for pharmacokinetics (PK) and pharmacodynamics (PD) have gained popularity ...
Zhisong Wu +5 more
wiley +1 more source
Inequalities and majorisations for the Riemann-Stieltjes integral on time scales
, 2010 We prove dynamic inequalities of majorisation type for functions on time scales. The results are obtained using the notion of Riemann-Stieltjes delta integral and give a generalization of [App. Math. Let. 22 (2009), no.
Mozyrska, Dorota +2 more
core +1 more source
MathematicsIn this paper, we investigate the existence of positive solutions of the eigenvalue problem for a singular tempered fractional equation with a Riemann–Stieltjes integral boundary condition and signed measures.
Xinguang Zhang +4 more
doaj +1 more source
Abstract and Applied Analysis, 2012 The existence of at least one positive solution is established for a class of semipositone fractional differential equations with Riemann-Stieltjes integral boundary condition. The technical approach is mainly based on the fixed-point theory in a cone.
Wei Wang, Li Huang
doaj +1 more source
Fractional L\'{e}vy-driven Ornstein--Uhlenbeck processes and stochastic differential equations
, 2011 Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic differential equations (SDEs) we introduce an Ornstein-
Fink, Holger, Klüppelberg, Claudia
core +1 more source
One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley +1 more source
Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion
, 2008 We prove an existence and uniqueness theorem for solutions of multidimensional, time dependent, stochastic differential equations driven simultaneously by a multidimensional fractional Brownian motion with Hurst parameter H>1/2 and a multidimensional ...
David Nualart +9 more
core +2 more sources