Results 21 to 30 of about 2,266 (56)

Existence and Stability of Implicit Fractional Differential Equations with Stieltjes Boundary Conditions Involving Hadamard Derivatives

Complexity, Volume 2021, Issue 1, 2021., 2021
In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence and uniqueness results for the given problems by applying the Banach contraction principle ...
Danfeng Luo, Mehboob Alam, Akbar Zada, Usman Riaz, Zhiguo Luo, Peter Giesl   +5 more
wiley   +1 more source

Pure point measures with sparse support and sparse Fourier–Bohr support

Transactions of the London Mathematical Society, Volume 7, Issue 1, Page 1-32, December 2020., 2020
Abstract Fourier‐transformable Radon measures are called doubly sparse when both the measure and its transform are pure point measures with sparse support. Their structure is reasonably well understood in Euclidean space, based on the use of tempered distributions. Here, we extend the theory to second countable, locally compact Abelian groups, where we
Michael Baake, Nicolae Strungaru, Venta Terauds   +2 more
wiley   +1 more source

Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium

Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
In this paper, we are concerned with the existence of the maximum and minimum iterative solutions for a tempered fractional turbulent flow model in a porous medium with nonlocal boundary conditions. By introducing a new growth condition and developing an iterative technique, we establish new results on the existence of the maximum and minimum solutions
Xinguang Zhang, Jiqiang Jiang, Lishan Liu, Yonghong Wu, Chris Goodrich   +4 more
wiley   +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

Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials [PDF]

, 2009
We investigate the asymptotic zero distribution of Heine-Stieltjes polynomials - polynomial solutions of a second order differential equations with complex polynomial coefficients.
Martinez-Finkelshtein, A., Rakhmanov, E. A.   +1 more
core   +4 more sources

An Analytical Construction of the SRB Measures for Baker-type Maps [PDF]

, 1998
For a class of dynamical systems, called the axiom-A systems, Sinai, Ruelle and Bowen showed the existence of an invariant measure (SRB measure) weakly attracting the temporal average of any initial distribution that is absolutely continuous with respect
Besicovitch A. S., de Rham G., de Rham G., Hata M., Hunt B. R., J. R. Dorfman, S. Tasaki, Takagi T., Thomas Gilbert, Weierstrass K.   +9 more
core   +2 more sources

Option pricing in a stochastic delay volatility model

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 1927-1951, 30 January 2025.
This work introduces a new stochastic volatility model with delay parameters in the volatility process, extending the Barndorff–Nielsen and Shephard model. It establishes an analytical expression for the log price characteristic function, which can be applied to price European options.
Álvaro Guinea Juliá, Raquel Caro‐Carretero   +1 more
wiley   +1 more source

An Analysis of Controllability Criteria for Higher‐Order Caputo Fractional Differential Systems With State and Control Delays

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The present study investigates the controllability problems for higher‐order semilinear fractional differential systems (HOSLFDSs) with state and control delays in the context of the Caputo fractional derivative. Exploiting the invertibility of the Gramian matrix of fractional order, the necessary and sufficient conditions for the controllability ...
Anjapuli Panneer Selvam, Venkatesan Govindaraj, Raaid Alubady, Sina Etemad, Deepali   +4 more
wiley   +1 more source

On a lack of stability of parametrized BV solutions to rate‐independent systems with nonconvex energies and discontinuous loads

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 7, July 2024.
Abstract We consider a rate‐independent system with nonconvex energy under discontinuous external loading. The underlying space is finite‐dimensional and the loads are functions in BV([0,T];Rd)$BV([0,T];\mathbb {R}^d)$. We investigate the stability of various solution concepts w.r.t.
Merlin Andreia, Christian Meyer
wiley   +1 more source

Integral Inequalities Involving Strongly Convex Functions

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
We study the notions of strongly convex function as well as F‐strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions. A refinement of companion inequality to Jensen’s inequality established by Matić and Pečarić is shown to be recaptured as a particular instance.
Ying-Qing Song, Muhammad Adil Khan, Syed Zaheer Ullah, Yu-Ming Chu, Alberto Fiorenza   +4 more
wiley   +1 more source