Keywords: مشتق شده Caputo; Hybrid functions; Distributed order; Fractional differential equations; Bernoulli polynomials; Caputo derivative; Numerical solution;
مقالات ISI مشتق شده Caputo (ترجمه نشده)
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Keywords: مشتق شده Caputo; Fractional-order Bernoulli wavelet; Bernoulli wavelet; Fractional differential equations; Caputo derivative; Operational matrix; Numerical solution;
Keywords: مشتق شده Caputo; Fractional diffusion-wave equation (FDWE); Legendre wavelets (LWs); Hat functions (HFs); Fractional operational matrix (FOM); Caputo derivative; Riemann–Liouville integral
Keywords: مشتق شده Caputo; Terminal value problem; Numerical solution; Shooting method; Caputo derivative
Keywords: مشتق شده Caputo; Asymptotic behavior; Positive solution; Caputo derivative; Fractional differential equations
Keywords: مشتق شده Caputo; Asymptotic behavior; Oscillation; Caputo derivative; Fractional differential equations34E10; 34A34
Keywords: مشتق شده Caputo; Hybrid functions; Nonlinear fractional integro-differential equations; Bernoulli polynomials; Caputo derivative; Numerical solution
Keywords: مشتق شده Caputo; Fractional differential equation; Caputo derivative; Predictor–corrector method; Relative error
Keywords: مشتق شده Caputo; 65L05; 34A08; 26A33Fractional calculus; Caputo derivative; Boundary value problem; Nonpolynomial collocation method
Keywords: مشتق شده Caputo; Fractional diffusion equation; Shifted Legendre polynomials; Rational Legendre functions; Caputo derivative
Keywords: مشتق شده Caputo; 35R11; 65M06; 65M12Fractional differential equation; Caputo derivative; Diffusion equation; Implicit finite difference method; Distributed order equation
Keywords: مشتق شده Caputo; System of fractional differential equations; Caputo derivative; Chebyshev approximation; Convergence analysis; Grünwald–Letnikov’s approach; Fractional FDM
Keywords: مشتق شده Caputo; Fractional integro-differential equation; Caputo derivative; Legendre collocation method; Regularization
Keywords: مشتق شده Caputo; Modified Fornberg–Whitham equation; Hermite wavelet method; Optimal Homotopy asymptotic method; Caputo derivative
Keywords: مشتق شده Caputo; Fractional diffusion-wave equations; Tau method; Shifted Jacobi polynomials; Operational matrix; Caputo derivative
Keywords: مشتق شده Caputo; Analytic semigroup; Banach fixed point theorem; Caputo derivative; Faedo–Galerkin approximations; Nonlocal conditions; Neutral fractional differential equation
Keywords: مشتق شده Caputo; Fractional variational problem; Caputo derivative; Adaptive pseudospectral method; Shifted Legendre–Gauss points; Nonlinear programming
Keywords: مشتق شده Caputo; Fractional differential equations; Caputo derivative; Impulse; Existence;
Keywords: مشتق شده Caputo; Bernstein polynomials; Fractional-order differential equations; Collocation method; Operational matrix; Caputo derivative
Keywords: مشتق شده Caputo; Finite difference method; Caputo derivative; Fractional integral; Fractional delay differential equations
Keywords: مشتق شده Caputo; Fractional differential equations; Caputo derivative; Stable manifold theorem;
Keywords: مشتق شده Caputo; Convergence; Orthogonal spline collocation method; Caputo derivative; Stability; Super-convergence; Two-dimensional fractional cable equation
Keywords: مشتق شده Caputo; Bernoulli wavelet; Fractional-order differential equations; Caputo derivative; Operational matrix; Numerical solution
Keywords: مشتق شده Caputo; 26A33; 65L60; 33C45; 44A45; 46C99Nonlinear fractional integro-differential equation; Collocation method; Caputo derivative; Jacobi polynomial; Operational matrix; Stability and convergence
Keywords: مشتق شده Caputo; New iterative method (NIM); Adams–Bashforth predictor corrector method; Fractional differential equation; Caputo derivative
Keywords: مشتق شده Caputo; primary, 35R11, 35C15; secondary, 35B65, 35R35Elliptic equations; Fractional dynamic boundary condition; Caputo derivative; Coercive estimates
Keywords: مشتق شده Caputo; Caputo derivative; Fractional instantaneous frequency; Anomalous frequency spikes; Variation of sandstone thickness
Keywords: مشتق شده Caputo; Fractional differential equations; Caputo derivative; Mittag Leffler function; Duhamel principle
Keywords: مشتق شده Caputo; Multi-term fractional differential; equations; Artificial neural network; Optimization; Caputo derivative
On fractional-Legendre spectral Galerkin method for fractional Sturm-Liouville problems
Keywords: مشتق شده Caputo; Caputo derivative; Fractional Sturm-Liouville problems; Eigenvalues and eigenfunctions; Spectral methods; Fractional Legendre functions;
A fractional model for the dynamics of TB virus
Keywords: مشتق شده Caputo; Tuberculosis model (TB); Lyapunov function; Caputo derivative; Generalized mean value theorem; Numerical results;
Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations
Keywords: مشتق شده Caputo; Caputo derivative; Difference methods; Fractional subdiffusion-reaction systems; Pattern formation; 34A34; 35A05; 35K57; 65L05; 65M06; 93C10;
A note on one-dimensional time fractional ODEs
Keywords: مشتق شده Caputo; Fractional ODE; Caputo derivative; Comparison principle; Asymptotic behavior; Stability;
Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises
Keywords: مشتق شده Caputo; Caputo derivative; Stochastic Navier-Stokes equations; Fractional Brownian motion; Mild solutions;
Natural convection with damped thermal flux in a vertical circular cylinder
Keywords: مشتق شده Caputo; Natural convection; Damped thermal flux; Caputo derivative; Analytical solutions;
L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusion equations
Keywords: مشتق شده Caputo; Two-dimensional time-fractional nonlinear equations; Caputo derivative; L1 Fourier spectral methods; Stability and convergence; FFT2;
A hybridizable discontinuous Galerkin method for a class of fractional boundary value problems
Keywords: مشتق شده Caputo; Hybridizable discontinuous Galerkinmethods; Fractional boundary value problems; Caputo derivative;
The Green's function and a maximum principle for a Caputo two-point boundary value problem with a convection term
Keywords: مشتق شده Caputo; Caputo derivative; Mittag-Leffler function; Green's function; Maximum principle;
Fractional differential equations of Caputo-Katugampola type and numerical solutions
Keywords: مشتق شده Caputo; Numerical method; Fractional Caputo-Katugampola differential equations; Caputo derivative; Caputo-Hadamard derivative;
The finite difference method for Caputo-type parabolic equation with fractional Laplacian: One-dimension case
Keywords: مشتق شده Caputo; Fractional Laplacian; Caputo derivative; Caffarelli-Silvestre extension; Finite difference method; Convergence;
The discontinuous Galerkin finite element method for fractional cable equation
Keywords: مشتق شده Caputo; Fractional cable equation; Caputo derivative; Discontinuous Galerkin finite method; Finite element method;
Numerical solution of time fractional nonlinear Klein-Gordon equation using Sinc-Chebyshev collocation method
Keywords: مشتق شده Caputo; Fractional Klein-Gordon equation; Sinc functions; Shifted Chebyshev polynomials of second kind; Collocation method; Caputo derivative;
On Hopf bifurcation in fractional dynamical systems
Keywords: مشتق شده Caputo; Fractional dynamics; Caputo derivative; Hopf bifurcation; Chaos;
New study of weakly singular kernel fractional fourth-order partial integro-differential equations based on the optimum q-homotopic analysis method
Keywords: مشتق شده Caputo; 14F35; 26A33; 35R09; Caputo derivative; Nonlinear fractional partial integro-differential equation; Optimal q-homotopic analysis method;
Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation
Keywords: مشتق شده Caputo; Seventh order KdV equation; Legendre wavelet method; Homotopy analysis method; Caputo derivative;
Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative
Keywords: مشتق شده Caputo; Fractional diffusion equation; Caputo derivative; Riesz derivative; Trapezoidal rule;
Fractional-order gradient descent learning of BP neural networks with Caputo derivative
Keywords: مشتق شده Caputo; Fractional calculus; Backpropagation; Caputo derivative; Monotonicity; Convergence;
An improved PC scheme for nonlinear fractional differential equations: Error and stability analysis
Keywords: مشتق شده Caputo; 26A33; 65D05; 65D25; 65D30; Predictor-corrector scheme; Fractional differential equation; Caputo derivative; Volterra integral equation;
Numerical simulation for solution of space-time fractional telegraphs equations with local fractional derivatives via HAFSTM
Keywords: مشتق شده Caputo; Caputo derivative; Fractional partial differential equation; Homotopy analysis fractional sumudu transform method; 26A33; 34A08; 60G22; 65Gxx;
Meshless analyses for time-fractional heat diffusion in functionally graded materials
Keywords: مشتق شده Caputo; Fractional diffusion; Transient heat conduction problem; Functionally graded material; Caputo derivative; Local radial basis function