Results 91 to 100 of about 17,453 (199)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas +1 more
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Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
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Modeling and analysis of fractional order Buck converter using Caputo–Fabrizio derivative
Energy Reports, 2020 The capacitors and inductors in actual circuits often fail to exhibit the ideal integer-order characteristics, so as the circuits containing these types of electronic components.
Ruocen Yang +3 more
doaj +1 more source
US Consumer Appetite for Climate Claims on Beef Products: Does Country‐of‐Origin Matter?
Australian Journal of Agricultural and Resource Economics, EarlyView.ABSTRACT Beef cattle producers have been receiving pressure to reduce methane emissions from production. Beef products with varying climate claims have recently been introduced to the retail sector, stemming from various countries‐of‐origin. Using data from a US consumer survey, we find a subset of US consumers is willing to pay a premium for Lower ...
Jaime R. Luke, Glynn T. Tonsor
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Results in Applied MathematicsIn this work, the ψ-Caputo fractional derivative, as a generalization of the classical Caputo fractional derivative in which the fractional derivative of a sufficiently differentiable function is defined with respect to another strictly increasing ...
M.H. Heydari, M. Razzaghi
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Business Ethics, the Environment &Responsibility, EarlyView.ABSTRACT This paper examines the current state of the art regarding the contribution of Higher Education Institutions (HEIs) to the achievement of the Sustainable Development Goals (SDGs). We conducted a Systematic Literature Review Analysis (SLRA), which integrates a traditional Systematic Literature Review (SLR) with Bibliographic Analysis (BA), on a
Pasquale Latella, Stefania Veltri
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Dynamics of the Caputo fractional derivative
Fractional Calculus and Applied AnalysisAbstract In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space. We will also show that a tuple of different iterates of a Caputo derivative multiple is disjoint hypercyclic.
Marina Murillo-Arcila +2 more
openaire +3 more sources
Consensus of Multiagent Systems Described by Various Noninteger Derivatives
Complexity, 2019 In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
G. Nava-Antonio +4 more
doaj +1 more source