Results 21 to 30 of about 1,888,805 (268)
Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models [PDF]
SIAM Journal on Scientific Computing, 2019 Adaptive second-order Crank-Nicolson time-stepping methods using the recent scalar auxiliary variable (SAV) approach are developed for the time-fractional Molecular Beam Epitaxial models with Caputo's derivative.
Bingquan Ji +3 more
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ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR
, 2022 The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus.
Jamal Salah
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Abstract and Applied Analysis, 2010 The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
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Deflection of Beams Modeled by Fractional Differential Equations
Fractal and Fractional, 2022 Using the concept of a fractional derivative, in Caputo’s sense, we derive and solve a fractional differential equation that models the deflection of beams.
José Villa-Morales +2 more
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An efficient fractional polynomial method for space fractional diffusion equations
Ain Shams Engineering Journal, 2018 In this paper, we develop a new approximation technique for solving space fractional diffusion equation. The method of solution is based on fractional order Legendre function with the concept of Caputo’s definition of fractional derivatives.
K. Krishnaveni +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. +2 more
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High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions [PDF]
Journal of Computational and Nonlinear Dynamics, 2023 In this paper, a high-order approximation to Caputo-type time-fractional diffusion equations involving an initial-time singularity of the solution is proposed.
S. Kumari +3 more
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Existence of positive solutions to a coupled system of fractional hybrid differential equations [PDF]
Matrix Science Mathematic, 2018 where Dα is the Caputo’s fractional derivative of order α ,1 0 and the functions f : j × R × R → R , f (0,0) = 0 and g : j × R× R → R satisfy certain conditions.
Ghulam Hussain +2 more
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Fractional critical slowing down in some biological models
Frontiers in Physics, 2023 The critical slowing down (CSD) phenomenon of the switching time in response to perturbation β (0 < β < 1) of the control parameters at the critical points of the steady state bistable curves, associated with two biological models (the spruce ...
R. A. Alharbey, S. S. Hassan
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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
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