Results 91 to 100 of about 295 (201)
On Caputo modification of the Hadamard fractional derivatives [PDF]
Advances in Difference Equations, 2014 Abstract This paper is devoted to the study of Caputo modification of the Hadamard fractional derivatives. From here and after, by Caputo-Hadamard derivative, we refer to this modified fractional derivative (Jarad et al. in Adv. Differ. Equ. 2012:142, 2012, p.7). We present the generalization of the fundamental theorem of fractional calculus (
Yusuf Y. Gambo +3 more
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Unexpected behavior of Caputo fractional derivative [PDF]
Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuroda, Lucas Kenjy Bazaglia +5 more
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, 2022 <abstract><p>In this paper, we consider an initial-boundary value problem for a non-linear fractional diffusion equation on a bounded domain.
Mustafa Yıldız +2 more
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Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley +1 more source
Solvability of Some Fractional Boundary Value Problems with a Convection Term
Discrete Dynamics in Nature and Society, 2019 This paper is devoted to the research of some Caputo’s fractional derivative boundary value problems with a convection term. By the use of some fixed-point theorems and the properties of Green function, the existence results of at least one or triple ...
Yongfang Wei, Zhanbing Bai
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Implicit finite difference solution for time-fractional diffusion equations using AOR method [PDF]
, 2014 In this paper, we derive an implicit finite difference approximation equation of the one-dimensional linear time fractional diffusion equations, based on the Caputo's time fractional derivative.
Sulaiman J., Azali Saudi, A. Sunarto
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Exploration of Various Fractional Order Derivatives in Parkinson's Disease Dysgraphia Analysis
, 2023 Parkinson's disease (PD) is a common neurodegenerative disorder with a prevalence rate estimated to 2.0% for people aged over 65 years. Cardinal motor symptoms of PD such as rigidity and bradykinesia affect the muscles involved in the handwriting process
Faundez-Zanuy, Marcos +7 more
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Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model
, 2022 The positive definiteness of discrete time-fractional derivatives is fundamental to the numerical stability (in the energy sense) for time-fractional phase-field models.
Ji, Bingquan +2 more
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Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay
Journal of Applied Mathematics, 2013 This paper is concerned with the reachability and controllability of fractional singular dynamical systems with control delay. The factors of such systems including the Caputo’s fractional derivative, control delay, and singular coefficient matrix are ...
Hai Zhang, Jinde Cao, Wei Jiang
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