Mild Solutions of Quantum Stochastic Differential Equations [PDF]
Electronic Communications in Probability, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FAGNOLA, FRANCO, WILLS S. J.
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Conformable functional evolution equations with nonlocal conditions in Banach spaces [PDF]
Surveys in Mathematics and its Applications, 2023 In this paper, we study semilinear conformable fractional evolution equations with finite delay subjected to nonlocal initial conditions in an arbitrary Banach space.
Abderrahmane Boukenkoul , Mohamed Ziane
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Estimates of Mild Solutions of Navier–Stokes Equations in Weak Herz-Type Besov–Morrey Spaces
Mathematics, 2022 The main goal of this article is to provide estimates of mild solutions of Navier–Stokes equations with arbitrary external forces in Rn for n≥2 on proposed weak Herz-type Besov–Morrey spaces.
Ruslan Abdulkadirov, Pavel Lyakhov
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Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators
Fractal and Fractional, 2021 In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder’s fixed point technique.
Kulandhaivel Karthikeyan +2 more
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On a second-order differential problem with fractional derivatives of order greater than one
Mathematical Modelling and Analysis, 2013 A second-order abstract problem with derivatives of non-integer order is investigated. The nonlinearity involves fractional derivatives between 1 and 2. Existence and uniqueness of mild and classical solutions are established in appropriate spaces.
Nasser-eddine Tatar
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On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces [PDF]
Opuscula Mathematica, 2011 In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial ...
YanLong Yang, JinRong Wang
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Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions
Mathematics, 2021 This paper is mainly concerned with the exact controllability for a class of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next,
Longfei Lin, Yansheng Liu, Daliang Zhao
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n0-Order Weighted Pseudo Δ-Almost Automorphic Functions and Abstract Dynamic Equations
Mathematics, 2019 In this paper, we introduce the concept of a n 0 -order weighted pseudo Δ n 0 δ -almost automorphic function under the matched space for time scales and we present some properties.
Chao Wang +3 more
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Mild to Classical Solutions for XVA Equations Under Stochastic Volatility [PDF]
SSRN Electronic Journal, 2021 We extend the valuation of contingent claims in presence of default, collateral and funding to a random functional setting and characterise pre-default value processes by martingales. Pre-default value semimartingales can also be described by BSDEs with random path-dependent coefficients and martingales as drivers.
Damiano Brigo +2 more
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Fractal and Fractional, 2018 The objective of this paper is to analyze the approximate controllability of a semilinear stochastic integrodifferential system with nonlocal conditions in Hilbert spaces.
Annamalai Anguraj, K. Ramkumar
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