Results 51 to 60 of about 545,475 (201)
Finite time stability for Hadamard fractional-order systems
Ain Shams Engineering JournalThis paper examines the properties of finite-time stability (FTS) in the sense of Hadamard fractional-order systems. The investigation utilizes the Hadamard fractional derivative to formulate and analyze these systems, establishing FTS criteria based on ...
Omar Naifar +3 more
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Continuous dependence of a solution for fractional order Cauchy-type problem
Partial Differential Equations in Applied Mathematics, 2021 In this paper, we consider the generalized Cauchy-type problem involving Hilfer–Hadamard-type fractional derivative for the nonlinear fractional differential equations to study the continuous dependence of a solution on the general order under the ...
Ahmad Y.A. Salamooni, D.D. Pawar
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High Voltage, EarlyView.ABSTRACT The complex diffusion of characteristic gases within oil‐immersed transformers significantly influences the timeliness between the fault occurrence and gas detection. So far, the gas transport processes and spatio‐temporal distributions remain inadequately understood.
Chunpeng Li +7 more
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AIMS Mathematics, 2022 <abstract><p>Hadamard fractional calculus is one of the most important fractional calculus theories. Compared with a single Hadamard fractional order equation, Hadamard fractional differential equations have a more complex structure and a wide range of applications.
Hui Huang, Kaihong Zhao, Xiuduo Liu
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ON HADAMARD FRACTIONAL CALCULUS
, 2017 This paper is devoted to the investigation of the Hadamard fractional calculus in three aspects. First, we study the semigroup and reciprocal properties of the Hadamard-type fractional operators.
LI MA, CHANGPIN LI
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Journal of Inequalities and ApplicationsThis article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran +3 more
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Optimal Portfolio Choice With Cross‐Impact Propagators
Mathematical Finance, EarlyView.ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber +2 more
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Electronic Journal of Differential Equations, 2016 Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj
An analogue of Leibniz’s rule for Hadamard derivatives and their application
Қарағанды университетінің хабаршысы. Математика сериясыThis paper explores new analogues of the Leibniz rule for Hadamard and Caputo–Hadamard fractional derivatives. Unlike classical derivatives, fractional ones have a strong nonlocal character, meaning that the value of the derivative at a given point ...
A.G. Smadiyeva
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Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.Abstract Modeling processes within Earth's and other planetary bodies' mantle requires constraints from phase equilibrium to infer how changes in phase abundance and composition affect physical properties and geochemical processes. When applying such thermodynamic models on a planetary scale, performance becomes especially crucial.
Philip Hartmeier, Pierre Lanari
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