Results 11 to 20 of about 66,211 (282)
On Discrete Delta Caputo–Fabrizio Fractional Operators and Monotonicity Analysis
Fractal and Fractional, 2021 The discrete delta Caputo-Fabrizio fractional differences and sums are proposed to distinguish their monotonicity analysis from the sense of Riemann and Caputo operators on the time scale Z.
Pshtiwan Othman Mohammed +2 more
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Fractional advection differential equation within Caputo and Caputo–Fabrizio derivatives [PDF]
Advances in Mechanical Engineering, 2016 In this research, we applied the variational homotopic perturbation method and q-homotopic analysis method to find a solution of the advection partial differential equation featuring time-fractional Caputo derivative and time-fractional Caputo–Fabrizio derivative. A detailed comparison of the obtained results was reported.
Dumitru Băleanu +2 more
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On the Inverse of the Caputo Matrix Exponential [PDF]
Mathematics, 2019 Matrix exponentials are widely used to efficiently tackle systems of linear differential equations. To be able to solve systems of fractional differential equations, the Caputo matrix exponential of the index α > 0 was introduced.
Emilio Defez +3 more
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A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives [PDF]
The European Physical Journal Plus, 2021 Recently, it is important to try to understand diseases with large mortality rates worldwide, such as infectious disease and cancer. For this reason, mathematical modeling can be used to comment on diseases that adversely affect all people. So, this paper discuss mathematical model presented for the first time that examines the interaction between ...
Uçar, Esmehan, Özdemir, Necati
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, 2016 Viene recensito Verità, il volume di Stefano Caputo uscito nel 2015 da Laterza.
VOLPE, GIORGIO
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On Riemann‐Liouville and Caputo Derivatives [PDF]
Discrete Dynamics in Nature and Society, 2011 Recently, many models are formulated in terms of fractional derivatives, such as in control processing, viscoelasticity, signal processing, and anomalous diffusion. In the present paper, we further study the important properties of the Riemann‐Liouville (RL) derivative, one of mostly used fractional derivatives.
Changpin Li, Deliang Qian, YangQuan Chen
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Stochastic applications of Caputo-type convolution operators with nonsingular kernels
, 2021 We consider here convolution operators, in the Caputo sense, with nonsingular kernels. We prove that the solutions to some integro-differential equations with such operators (acting on the space variable) coincide with the transition densities of a ...
Caputo M. +3 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Ricardo Almeida
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, 2022 Guacchio, E. Del, Caputo, P. (2022): Towards a rational nomenclature of cultivated plants: proposal of taxonomic reassessment of Cicer reticulatum (Fabaceae) and Spinacia turkestanica (Chenopodiaceae).
Caputo, P. +3 more
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Chaos on the Vallis Model for El Niño with Fractional Operators
Entropy, 2016 The Vallis model for El Niño is an important model describing a very interesting physical problem. The aim of this paper is to investigate and compare the models using both integer and non-integer order derivatives.
Badr Saad T. Alkahtani, Abdon Atangana
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