Results 11 to 20 of about 1,369,996 (356)
Approximation of the Riesz–Caputo Derivative by Cubic Splines [PDF]
Algorithms, 2022 Differential problems with the Riesz derivative in space are widely used to model anomalous diffusion. Although the Riesz–Caputo derivative is more suitable for modeling real phenomena, there are few examples in literature where numerical methods are ...
Francesca Pitolli +2 more
doaj +3 more sources
Fractional Telegraph Equation with the Caputo Derivative [PDF]
Fractal and Fractional, 2023 The Cauchy problem for the telegraph equation (Dtρ)2u(t)+2αDtρu(t)+Au(t)=f(t) (00), 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. Conditions are
R. Ashurov, R. Saparbayev
semanticscholar +4 more sources
Predictive modeling of hepatitis B viral dynamics: a caputo derivative-based approach using artificial neural networks. [PDF]
Sci RepA fractional model for the kinetics of hepatitis B transmission was developed. The hepatitis B virus significantly affects the world’s economic and health systems.
Turab A +5 more
europepmc +2 more sources
SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order. [PDF]
Adv Differ Equ, 2020 We provide a SEIR epidemic model for the spread of COVID-19 using the Caputo fractional derivative. The feasibility region of the system and equilibrium points are calculated and the stability of the equilibrium points is investigated.
Rezapour S, Mohammadi H, Samei ME.
europepmc +2 more sources
Analysis of fractal-fractional Alzheimer's disease mathematical model in sense of Caputo derivative. [PDF]
AIMS Public HealthAlzheimer's disease stands as one of the most widespread neurodegenerative conditions associated with aging, giving rise to dementia and posing significant public health challenges.
Yadav P, Jahan S, Nisar KS.
europepmc +2 more sources
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
doaj +3 more sources
Monotonicity of functions and sign changes of their Caputo derivatives [PDF]
Fractional Calculus and Applied Analysis, 2015 It is well known that a continuously differentiable function is monotone in an interval $[a,b]$ if and only if its first derivative does not change its sign there.
Diethelm, Kai
core +4 more sources
Analysis and applications of the proportional Caputo derivative [PDF]
Advances in Difference Equations, 2021 In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative.
Ali Akgül, D. Baleanu
semanticscholar +5 more sources
Caputo derivatives of fractional variable order: Numerical approximations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2015 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 +2 more
openalex +7 more sources
AIMS Mathematics, 2019 The fractional input stability of the electrical circuit equations described by the fractional derivative operators has been investigated. The Riemann-Liouville and the Caputo fractional derivative operators have been used.
Ndolane Sene
doaj +2 more sources