Results 91 to 100 of about 498,408 (222)
Dynamics of the Caputo fractional derivative [PDF]
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.
Murillo-Arcila, Marina +5 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
New predictor-corrector scheme for solving nonlinear differential equations with Caputo-Fabrizio operator [PDF]
, 2018 In this paper, we develop a new, simple, and accurate scheme to obtain approximate solution for nonlinear differential equation in the sense of Caputo-Fabrizio operator.
Phang, Chang +2 more
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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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Advances in Mechanical Engineering, 2019 The aim of this article is to analyze the dynamics of the new chaotic system in the sense of two fractional operators, that is, the Caputo–Fabrizio and the Atangana–Baleanu derivatives.
Muhammad Altaf Khan
doaj +1 more source
Sustainability in Business Process Management: Research Landscape and Theoretical Implications
Sustainable Development, EarlyView.ABSTRACT Sustainability in Business Process Management (BPM) is a growing priority for organisations seeking to balance operational efficiency with environmental and social responsibility. Although research highlights the benefits of integrating sustainability into BPM—such as regulatory compliance, cost reduction and corporate reputation enhancement ...
Silvia Dallavalle +5 more
wiley +1 more source
A New Approach to Hermite-Hadamard-Type Inequality with Proportional Caputo-Hybrid Operator
Fractional calculus plays a crucial role in mathematics and applied sciences as it extends classical analysis, overcoming many of its constraints.
Sarıkaya, Mehmet Zeki +2 more
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Enabling Sustainability in Local Food Supply Chains: A Life Cycle Assessment‐Based Approach
Sustainable Development, EarlyView.ABSTRACT In response to escalating environmental and food security challenges, this study explores how Local Food Systems (LFS) and Short Food Supply Chains (SFSCs) can be redesigned to support sustainability goals. Drawing on a case study of a microalgae‐based food producer, the research applies a Resource Nexus Approach combined with Life Cycle ...
Ravi Shankar Audichya +3 more
wiley +1 more source