Keywords: 65M20; 65L06; 65R10; 26A33; Multi-term time-fractional diffusion equation; Numerical method; Stability; Convergence; Method of separation of variables; Energy method;
مقالات ISI (ترجمه نشده)
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Keywords: 26A33; 34K37; 34K40; 34K45; 35R60; 45J05; 46C15; 60H15; 60H20; Analytic semigroup; Banach fixed point theorem; Caputo derivative; Faedo-Galerkin approximation; Stochastic differential equation;
Keywords: Fractional optimal control; Direct numerical solution; Fractional integration matrix; Grünwald-Letnikov; Trapezoidal and Simpson fractional integral formulas; 26A33; 49M25,;
Keywords: 26A33; 34A08; Fractional derivatives and integrals; Fractional differential equations; Variable order;
Keywords: Fractional power series; Caputo derivative; Fractional integro-differential equations; 26A33; 45J99; 35F25; 35C10;
Keywords: 26A33; 26E70; 35B09; 45M20; Fractional Riemann-Liouville derivatives; Nonlocal thermistor problem on time scales; Fixed point theorem; Dynamic equations; Positive solutions;
Keywords: Stefan problem; Fractional diffusion equation; Riemann-Liouville derivative; Caputo derivative; Memory flux; Equivalent integral relation; Primary; 35R35; 26A33; 35C05; Secondary; 33E20; 80A22;
Keywords: Hilfer fractional derivative; Stochastic integro-differential equations; Mild solutions; Sadovskii fixed point theorem; 26A33; 60H10; 34K30; 34K40;
Keywords: Hopf bifurcation; Bogdanov-Takens bifurcation; Cusp bifurcation; Dynamical behavior; Limit cycle; 93D05; 34A08; 26A33;
Keywords: 23A33; 26A33; 34A99; Fractional differential equation; Solving method; Counter-example;
Keywords: Distributed-order fractional derivative; Euler-Lagrange equation; Legendre condition; Numerical methods; 26A33; 49K05; 49M05;
Keywords: Crank-Nicolson method; variable order fractional cable equation; stability analysis; 26A33; 35R11; 65M06;
Keywords: Katugampola fractional calculus; Bounded variation; Unbounded variation point; Hausdorff dimension; Box dimension; 28A80; 28A78; 26A33; 26A45;
Keywords: Fractional calculus; Chaos; Lyapunov exponents; Stability; Brusselator system; System of partial differential equations; Optimal homotopy asymptotic method; 26A33; 35R11; 74H10; 34H10;
Keywords: Time fractional nonlinear Sine-Gordon equation; Legendre spectral method; Stability and convergence; Caputo derivative; Smooth and non-smooth solutions; 26A33; 65M70; 65M12;
Keywords: Evolution equations; Mild solutions; Hilfer fractional derivative; Noncompact measure; 26A33; 34K30; 34K45; 35B10; 47D06;
Keywords: Fractional derivative; Nonlocality; Memory; Conformable fractional derivative; Local fractional derivative; Caputo-Fabrizio fractional derivative; 26A33; Fractional derivatives and integrals; 34A08; Fractional differential equations;
Keywords: 45G10; 26A33; 40C05; 97N20; Hat functions; Nonlinear quadratic integral equation; Fractional calculus; Operational matrix; Error analysis;
Keywords: 11B68; 78A70; 26A33; Euler's numbers; Biological application; Fractional logistic equation;
Keywords: 26A33; 37C25; 45D05; 45E10; 65D30; 65R20; Fractional integral equations; Abel integral equations; Fixed-point theory; Picard iteration; Numerical approximation; Product integration;
Keywords: Generalized fractional derivatives; Caputo derivatives; Taylor formula; Fractional calculus; 26A24; 26A33; 34A08; 41A58;
Keywords: Fractional integro-differential equations; Weakly singular kernels; Modification of hat functions; Operational matrix; 26A33; 45G05; 65N35;
Keywords: Residual power series method; Space-time fractional partial differential equations; Caputo derivative; 35K35; 26A33; 35F25;
Keywords: 26A33; 34A08; 49K05; Fractional calculus of variations; Variable fractional order; High-order derivatives; Time delay; Computational approximation;
Keywords: 26A33; 34A08; 34K37; 65T60; Fractional-order Legendre wavelets; Caputo derivative; Operational matrix; Tau method; Fractional differential equations;
Keywords: 49N25; 26A33; 34A60; 93C10; Optimal control; Hilfer fractional derivative; Delay evolution inclusion; Clarke subdifferential; Impulsive condition;
Keywords: C02; C65; D40; Macroeconomics; Intersectoral model; Fading memory; Power-law memory; Fractional derivative; Leontief model; Input-output model; 26A33; 34A08;
Keywords: 26A33; 34A08; 35B40; Fractional differential equations; Logistic equation; Asymptotic expansions; Mittag-Leffler functions;
Keywords: 49K99; 26A33; 39A99; 90C25; Multi-agent systems; Emergent behavior; Consensus; Fractional-order systems; Optimal control;
Keywords: 60G52; 34A08; 33E12; 26A33; Fractional exponential operator; Fractional logarithmic operator; Riesz-Feller derivative; Gamma process with drift; Yule-Furry process;
Keywords: 65L20; 33F05; 76F06; 37D45; 26A33; Transition to turbulent flows; Fractional dynamics; Attractors; Numerical approximations; Stability; Convergence;
Keywords: 26A33; 34H10; 37D45; Fractional calculus; Chaotification; Lorenz system; Coexisting attractors;
Keywords: 65PXX; 26A33; 65M32; 65M06; Inverse problem; Multi-term time fractional partial differential equation; Modified fractional predictor-corrector method; MH-NMSS-PSO algorithm; Experimental data; Numerical method;
Keywords: 26A33; 26E50; 34A07; 34A08; 49J15; 49J45; 93B05; 93C25; Fuzzy fractional differential equations; Fractional evolution equations; Numerical solutions; Controllability; Optimal control; Nonlocal conditions;
Keywords: 15A18; 15A60; 26A33; Fractional differential equations; Pseudospectra; Fractional pseudospectra; Localization; Diagonal dominance; Distance to instability; Ecosystems modeling; Robust stability;
Keywords: Economics; Dynamic memory; Power-law memory; Fading memory; Multiplier; Accelerator; Fractional derivative; Fractional integral; Fractional dynamics; Fractional calculus; 91B02; 91B55; 34A08; 26A33;
Keywords: 26A33; 65L70; 65L05; Fractional differential equation; Caputo fractional derivative; Riemann-Liouville fractional derivative; Error estimates; Hadamard finite-part integral;
Keywords: 26A33; 35A05; 35A08; Time-space fractional diffusion equation; Mild solution; Existence and uniqueness; Nonnegativity; Mass conservation; Finite time blow up;
Keywords: Fractal calculus; Triadic Cantor set; Fractal Picard iteration; Fractal metric space; Fractal Cauchy sequence; 26A33; 28A80; 34A08;
Keywords: Time- and space-fractional multidimensional diffusion-wave equation; Fundamental solution; Mellin integral transform; Mellin-Barnes integral representation; Probability density function; 26A33; 35C05; 35E05; 35L05; 45K05; 60E99;
Keywords: Model of logistic growth; Logistic map; Chaos; Discrete map with memory; Hereditarity; Memory effects; Power-law memory; Derivatives of non-integer order; C02; C65; D40; 26A33; 34A08;
Keywords: Singular functions; Hölder classes; Pseudodifferential operators; Approximation; Primary 26a27; Secondary 26A15; 26A33; 26A16; 4102;
Keywords: Fractional system; Haar wavelet numerical; Strange attractors; Chaotic multi-wing attractor; Convergence; 26A33; 65C20; 65L20; 26A36; 33F05;
Keywords: Fractional systems; Caputo fractional derivative; Fractional elements; Linear circuits; Laplace transform; Grünwald-Letnikov definition; 94C05; 26A33; 44A10;
Keywords: umplicit fractional integral equation; measure of noncompactness; Darbo's theorem; 45G05; 26A33; 74H20;
Keywords: Fractional integrals; Fractional derivatives; Gauss-Jacobi quadrature rule; Fractional differential equations; Fractional variational calculus; 26A33; 49K05;
Keywords: Fractional differential equation; Operator calculus; Analytical solution; Closed-form solution; Soliton solution; 34A08; 34A25; 26A33; 35C05;
Keywords: 34K34; 26A33; 93B52; 35R12; 93C55; Hybrid control systems; Impulsive differential equations; Discrete time systems; Fractional calculus; Caputo derivative;
Keywords: nonexistence; global solution; fractional differential equation; Riemann-Liouville fractional integral and fractional derivative; 26A33;
Keywords: Time fractional systems of partial differential equations; Riemann-Liouville fractional derivative; Conservation laws; Nonlinear self-adjointness; 26A33; 34A08; 35R11; 76M60; 70S10;