Results 31 to 40 of about 1,369,996 (356)
Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
Advances in Difference Equations, 2021 In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative.
N. H. Sweilam +2 more
doaj +1 more source
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
Chaos, Solitons and Fractals, 2020 Hakimeh Mohammadi, Shahram Rezapour
exaly +2 more sources
Mathematical Methods in the Applied Sciences, 2018 Ricardo Almeida, Agnieszka B Malinowska
exaly +2 more sources
Mathematics, 2022 The generalized proportional Caputo fractional derivative is a comparatively new type of derivative that is a generalization of the classical Caputo fractional derivative, and it gives more opportunities to adequately model complex phenomena in physics ...
Ravi Agarwal +2 more
doaj +1 more source
Asymptotic expansions and approximations for the Caputo derivative [PDF]
Computational and Applied Mathematics, 2018 In this paper we use the asymptotic expansions of the binomial coefficients and the weights of the L1 approximation to obtain approximations of order $2- $ and second-order approximations of the Caputo derivative by modifying the weights of the shifted Gr nwald-Letnikov difference approximation and the L1 approximation of the Caputo derivative.
Yuri Dimitrov +2 more
openaire +3 more sources
Advances in Continuous and Discrete Models, 2022 Fractional differential equations have recently demonstrated their importance in a variety of fields, including medicine, applied sciences, and engineering.
Nur Amirah Zabidi +3 more
semanticscholar +1 more source
Journal of mathematics, 2022 This article studies a pharmacokinetics problem, which is the mathematical modeling of a drug concentration variation in human blood, starting from the injection time.
M. Awadalla +3 more
semanticscholar +1 more source
On a linear-quadratic problem with Caputo derivative [PDF]
Opuscula Mathematica, 2016 In this paper, we study a linear-quadratic optimal control problem with a fractional control system containing a Caputo derivative of unknown function. First, we derive the formulas for the differential and gradient of the cost functional under given constraints. Next, we prove an existence result and derive a maximum principle.
Dariusz Idczak, Stanislaw Walczak
openaire +1 more source
Journal of Function Spaces, 2022 In this paper, we study the existence and uniqueness of the mild solution of the fractional integro-differential with the nonlocal initial condition described by the Caputo fractional operator.
N. Sene
semanticscholar +1 more source
Laplace transform collocation method for telegraph equations defined by Caputo derivative
Mathematical Modelling and Numerical Simulation with Applications, 2022 The purpose of this paper is to find approximate solutions to the fractional telegraph differential equation (FTDE) using Laplace transform collocation method (LTCM). The equation is defined by Caputo fractional derivative.
Mahmut Modanlı, M. E. Koksal
semanticscholar +1 more source