Results 21 to 30 of about 204,887 (266)
On a Linear Differential Game of Pursuit with Integral Constraints in ℓ2
MathematicsIn this paper, we study the stability, controllability, and differential game of pursuit for an infinite system of linear ODEs in ℓ2. The system we consider has a special right-hand side, which is not diagonal and serves as a toy model for controllable ...
Ibroximjon Zaynabiddinov +3 more
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Advances in Difference Equations, 2017 In this paper, we get a new form equivalent integral equation for a class of evolution equations of fractional order with nonlocal conditions on the half-line.
Zhanmei Lv, Yanping Gong, Yi Chen
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Fractal and Fractional, 2023 The knowledge of fractional calculus can be useful in developing models that allow us to better understand and manage some phenomena. In the present paper, we study the topological structure of the mild solution set for a semi-linear differential ...
Zainab Alsheekhhussain +2 more
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On the Positivity of Local Mild Solutions to Stochastic Evolution Equations [PDF]
, 2021 We provide sufficient conditions on the coefficients of a stochastic evolution equation on a Hilbert space of functions driven by a cylindrical Wiener process ensuring that its mild solution is positive if the initial datum is positive. As an application, we discuss the positivity of forward rates in the Heath-Jarrow-Morton model via Musiela's ...
Marinelli C., Scarpa L.
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Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)
Mathematics, 2019 This paper studies the existence of mild solutions and the compactness of a set of mild solutions to a nonlocal problem of fractional evolution inclusions of order α ∈ ( 1 , 2 ) .
Jia Wei He +3 more
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Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang Li +1 more
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On the Mild Solutions of Second-Order Θ-Caputo Fractional Boundary Value Problems
MathematicsIn this paper, we study a class of second-order fractional boundary value problems involving Θ-Caputo derivatives of different orders. By reformulating the problem to an integral equation, we introduce an appropriate notion of a mild solution in the Θ ...
Mouataz Billah Mesmouli +3 more
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Existence of positive mild solutions for a class of fractional evolution equations on the half line
Advances in Difference Equations, 2017 The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature.
Yi Chen, Zhanmei Lv, Liang Zhang
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Optimal Controls for a Class of Conformable Fractional Evolution Systems
Fractal and Fractional, 2023 In the scale of abstract Banach spaces, the existence as well as the controllability are considered for a class of evolution systems involving conformable fractional derivatives.
Yue Liang
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Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions
Set-Valued and Variational AnalysisAbstractExistence results for a Cauchy problem driven by a semilinear differential Sturm-Liouville inclusion are achived by proving, in a preliminary way, an existence theorem for a suitable integral inclusion. In order to obtain this proposition we use a recent fixed point theorem that allows us to work with the weak topology and the De Blasi measure ...
Tiziana Cardinali, Giulia Duricchi
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