Results 11 to 20 of about 924,447 (216)

Fractional variational problems with the Riesz–Caputo derivative [PDF]

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Almeida, R., Ricardo Almeida
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Caputo-type modification of the Hadamard fractional derivatives [PDF]

Advances in Difference Equations, 2012
Abstract Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this article, a Caputo-type modification of Hadamard fractional derivatives is introduced. The properties of the modified
Fahd Jarad, Thabet Abdeljawad, Dumitru Băleanu   +2 more
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Wirtinger-type inequalities for Caputo fractional derivatives via Taylor’s formula [PDF]

Journal of Inequalities and Applications
In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional ...
Samet Erden, Mehmet Zeki Sarıkaya, Burçin Gokkurt Ozdemir, Neslihan Uyanık   +3 more
doaj   +4 more sources

Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives [PDF]

Journal of Nigerian Society of Physical Sciences, 2023
Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts.
Dalal Khalid Almutairi, Mohamed A. Abdoon, Salih Yousuf Mohamed Salih, Shahinaz A.Elsamani, Fathelrhman EL Guma, Mohammed Berir   +5 more
doaj   +2 more sources

Caputo derivatives of fractional variable order: Numerical approximations [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2016
This is a preprint of a paper whose final and definite form is in Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704.
Dina Tavares, Ricardo Almeida 0001, Delfim F. M. Torres   +2 more
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Dynamics and simulations of discretized Caputo-conformable fractional-order Lotka–Volterra models [PDF]

Nonlinear Engineering, 2022
In this article, a prey–predator system is considered in Caputo-conformable fractional-order derivatives. First, a discretization process, making use of the piecewise-constant approximation, is performed to secure discrete-time versions of the two ...
Yousef Feras, Semmar Billel, Al Nasr Kamal   +2 more
doaj   +3 more sources

Variational Problems Involving a Caputo-Type Fractional Derivative [PDF]

Journal of Optimization Theory and Applications, 2016
The aim of this paper is to study certain problems of calculus of variations, that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo--Hadamard fractional derivatives, that are dependent on a real parameter ro.
Almeida, Ricardo
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A delayed plant disease model with Caputo fractional derivatives. [PDF]

Adv Contin Discret Model, 2022
AbstractWe analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington–DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the unique global solution existence for the given delay mathematical model by using fixed point results. We use the Adams–Bashforth–Moulton
Kumar P, Baleanu D, Erturk VS, Inc M, Govindaraj V.   +4 more
europepmc   +5 more sources

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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Fractional Telegraph Equation with the Caputo Derivative

Fractal and Fractional, 2023
The Cauchy problem for the telegraph equation (Dtρ)2u(t)+2αDtρu(t)+Au(t)=f(t) (0<t≤T,0<ρ<1, α>0), with the Caputo derivative is considered. Here, A is a selfadjoint positive operator, acting in a Hilbert space, H; Dt is the Caputo fractional derivative.
Ravshan Ashurov, Rajapboy Saparbayev
openaire   +3 more sources