Results 11 to 20 of about 2,266 (56)
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This article introduces a generalized approach for analyzing stability and establishing the existence of positive solutions in a specific type of differential equations known as p‐Laplacian ψ‐Caputo fractional differential equations with fractional integral boundary conditions.
Yahia Awad, Yusuf Pandir
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this article, we study the existence of the solution for the fractional differential equations of sequential type with nonlocal integral boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem and Hausdorff’s measure of noncompactness method.
Muath Awadalla +5 more
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Transactions of the London Mathematical Society, Volume 9, Issue 1, Page 237-269, December 2022., 2022 Abstract We construct a new topology on the space of stopped paths and introduce a calculus for causal functionals on generic domains of this space. We propose a generic approach to pathwise integration without any assumption on the variation index of a path and obtain functional change of variable formulae which extend the results of Föllmer ...
Henry Chiu, Rama Cont
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Fractional Brownian Motion for a System of Fuzzy Fractional Stochastic Differential Equation
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We study fractional Brownian motion– (FBM–) driven fuzzy stochastic fractional evolution equations. These equations can be used to model fuzziness, long‐range dependence, and unpredictability in hybrid real‐world systems. Under various assumptions regarding the coefficients, we investigate the existence‐uniqueness of the solution using an approximation
Kinda Abuasbeh, Ramsha Shafqat, Heng Liu
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. In this respect, we use a familiar Schauder’s fixed‐point theorem (SFPT) related to the method of measure of noncompactness (MNC ...
Xiangling Li +5 more
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this article, by using the Schauder fixed point theorem, we first study the existence of solutions for a new coupled system of Caputo fractional differential equations with multipoint boundary value conditions under the assumption that the nonlinear term satisfies two types of the Carathéodory conditions.
Ying Chen +3 more
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Bilateral teleoperation of stochastic port‐Hamiltonian systems using energy tanks
International Journal of Robust and Nonlinear Control, Volume 31, Issue 18, Page 9332-9357, December 2021., 2021 Abstract In this article we consider the general problem of how to properly endow a stochastic port‐Hamiltonian system (SPHS) with an energy tank, that is an energy reservoir that allows to guarantee the passivity property. We show that a stochastic bilateral teleoperation system, composed by a master robot and a slave robot modeled as SPHS, can be ...
Francesco Cordoni +2 more
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Option pricing models without probability: a rough paths approach
Mathematical Finance, Volume 31, Issue 4, Page 1494-1521, October 2021., 2021 Abstract We describe the pricing and hedging of financial options without the use of probability using rough paths. By encoding the volatility of assets in an enhancement of the price trajectory, we give a pathwise presentation of the replication of European options.
John Armstrong +3 more
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Extreme Points and Majorization: Economic Applications
Econometrica, Volume 89, Issue 4, Page 1557-1593, July 2021., 2021 We characterize the set of extreme points of monotonic functions that are either majorized by a given function f or themselves majorize f and show that these extreme points play a crucial role in many economic design problems. Our main results show that each extreme point is uniquely characterized by a countable collection of intervals.
Andreas Kleiner +2 more
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Solving Poisson Equation by Distributional HK‐Integral: Prospects and Limitations
International Journal of Mathematics and Mathematical Sciences, Volume 2021, Issue 1, 2021., 2021 In this paper, we present some properties of integrable distributions which are continuous linear functional on the space of test function Dℝ2. Here, it uses two‐dimensional Henstock–Kurzweil integral. We discuss integrable distributional solution for Poisson’s equation in the upper half space ℝ+3 with Dirichlet boundary condition.
Amila J. Maldeniya +4 more
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