Results 1 to 10 of about 58,917 (294)
Differential equations with tempered Ψ-Caputo fractional derivative
Mathematical Modelling and Analysis, 2021 In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative.
Milan Medveď, Eva Brestovanská
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Incomplete Caputo fractional derivative operators [PDF]
Advances in Difference Equations, 2018 The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu
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A study on the dynamics of alkali–silica chemical reaction by using Caputo fractional derivative [PDF]
Pramana, 2022 In this paper, we propose a mathematical study to simulate the dynamics of alkali–silica reaction (ASR) by using the Caputo fractional derivative. We solve a non-linear fractional-order system containing six differential equations to understand the ASR ...
Kumar P +3 more
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On applications of Caputo k-fractional derivatives [PDF]
Advances in Difference Equations, 2019 This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid +5 more
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Soret Effect on MHD Casson Fluid over an Accelerated Plate with the Help of Constant Proportional Caputo Fractional Derivative. [PDF]
ACS OmegaNon-Newtonian fluid flow is significant in engineering and biomedical applications such as thermal exchangers, electrical cooling mechanisms, nuclear reactor cooling, drug delivery, blood flow analysis, and tissue engineering.
Abbas S +6 more
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Caputo Fractional Derivative and Quantum-Like Coherence. [PDF]
Entropy (Basel), 2021 We study two forms of anomalous diffusion, one equivalent to replacing the ordinary time derivative of the standard diffusion equation with the Caputo fractional derivative, and the other equivalent to replacing the time independent diffusion coefficient of the standard diffusion equation with a monotonic time dependence.
Culbreth G +3 more
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Applied Mathematics Letters, 2021 In this paper, the Riesz-Caputo fractional derivative of variable order with fixed memory is considered. The studied non-integer differential operator is approximated by means of modified basic rules of numerical integration.
T. Blaszczyk +3 more
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Analytical Solutions of a Class of Fluids Models with the Caputo Fractional Derivative
Fractal and Fractional, 2022 This paper studies the analytical solutions of the fractional fluid models described by the Caputo derivative. We combine the Fourier sine and the Laplace transforms.
Ndolane Sene
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Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations [PDF]
Numerical Mathematics: Theory, Methods and Applications, 2022 In this paper, we propose a fast second-order approximation to the variable-order (VO) Caputo fractional derivative, which is developed based on L2-1σ formula and the exponentialsum-approximation technique.
Jiali Zhang, Zhi-Wei Fang, Hai‐Wei Sun
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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
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