Keywords: Fractional calculus operators; Special functions; Generalized hypergeometric functions; Integral transforms of special functions; 26A33; 33C60; 33E12; 44A20;
مقالات ISI (ترجمه نشده)
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Keywords: 92D25; 26A33; 34A34; 45G05; Fractional order differential switched systems; Nonlocal impulsive conditions; Solutions; Existence; Stability;
Keywords: Approximate controllability; Multi-valued fractional impulsive stochastic partial integro-differential equations; Infinite delay; Analytic α-resolvent operator; Fixed point theorem34A37; 60H10; 34G25; 26A33; 93B05
Keywords: controllability; continuous dependence; fractional neutral integro-differential equations; state-dependent delay; resolvent operator; 34K05; 34K30; 26A33; 93B05;
Keywords: 26A33; 65N10; 45J05; 60J60; 34K37; 42C40; FPDEs; Riemann-Liouville fractional derivative; Collocation method; Legendre wavelet; Chebyshev wavelet; Operational matrix of differentiation and integration;
Keywords: 26A33; 65Kxx; 33F05; Multi-term time-fractional Bloch equations; MRI; Anomalous relaxation; Fractional predictor–corrector method; Parameter estimation; Hybrid simplex search and particle swarm optimisation;
Keywords: 37N05; 26A33; 49S05; Nonlocal-in-time kinetic energy; Fractional actionlike variational approach; Nonlocal fractional Newton's law; Oscillatory motions of particles in a rotating tube;
Keywords: Fractional calculus; Singular functions; Pseudodifferential operators; Iteration function systems; Fractals; Primary 26A27: Secondary 26A15; 26A33; 26A16; 47A52; 4102;
Keywords: 26A33; 33C45; 33C60; 33C70; k-Pochhammer symbol; k-gamma function; k-Bessel function; Generalized hypergeometric function; Fractional kinetic equations;
Keywords: Carathéodory conditions; Coincidence degree theory; Functional conditions; Resonance; Riemann-Liouville fractional derivative; 26A33; 34B15; 70K30;
Keywords: Grüss inequality; ÄebyÅ¡ev inequality; Local fractional integrals; 26D07; 26D10; 26D15; 26A33;
Keywords: Fractional dynamics; Riemann-Liouville derivative; Liouville-Caputo derivative; Caputo-Fabrizio derivative; Atangana-Baleanu derivative; Adams-Bashforth-Moulton method; Lagrangian dynamics; Hamilton equations; 26A33; 65R10; 70Hxx;
Keywords: The particle swarm optimization; Fractional calculus; Fractional model; Simulation; Stability; Control; 90C27; 90C35; 90C59; 90C30; 28B20; 26A33; 33C20; 30C45; 26A33;
Keywords: primary; 44A12; secondary; 26A33; 44A15; Gegenbauer-Chebyshev fractional integrals; Radon transforms; Null spaces;
Keywords: Fractional calculus; Electrical circuits; Riemann-Liouville fractional derivative; Liouville-Caputo fractional derivative; Caputo-Fabrizio fractional derivative; Mittag-Leffler function; 94C05; 26A33; 33E12; 44A10;
Keywords: 26A33; 35K65; 76S05Nonlinear fractional diffusion; Fractional Laplacian; Riesz potential; Existence of solutions; Finite/infinite speed of propagation
Keywords: 26A33; 65R10; 37N25; Toxic-phytoplankton; Zooplankton; Stability conditions; Numerical simulation; Fractional order;
Keywords: 26A33; 35K65; 76S05; 35C06Nonlinear fractional diffusion; Fractional derivatives; Self similar solution; Very singular solutions
Keywords: Fractional differential equations; Caputo derivatives; Adams methods; Initial value problems; Fractional partial differential equations; 26A33; 65L06; 65L20;
Keywords: Fractional order differential equations; Impulsive conditions; State-dependent delay; Fixed point theorems; Semigroup theory34K05; 26A33; 34A12; 35R12; 45J05
Keywords: 15B57; 26A33; 60B20; 62E15; 33C60; 40C05Fractional derivatives; Complex matrix-variate case; Fractional integrals; Kober fractional derivative operators
Keywords: 26A33; 34K37; 34A08; 45E10; 47H10Nonlinear fractional problem; Riemann–Liouville fractional derivative; Weighted Cauchy problem; Nonlocal condition; Schauder fixed point theorem
Keywords: 26A33; 34A07; 34A08; 91G80; Caputo-type fuzzy fractional derivative; Euler-Lagrange equations; Isoperimetric problem;
Keywords: 46F12; 26A33; 46A05; 47A30; 47G05; Fractional Fourier transform; Generalized continuous wavelet transform; Generalized wave equation; Fourier transform; Mother wavelet;
Keywords: 15B57; 26A33; 60B20; 62E15; 33C60; 40C05Fractional integrals; Matrix-variate case; Several matrices; Products and ratios; Kober fractional operators
Keywords: 26A33; 65L60; 33C45; 44A45; 46C99Nonlinear fractional integro-differential equation; Collocation method; Caputo derivative; Jacobi polynomial; Operational matrix; Stability and convergence
Keywords: 26A33; 35A05; 35K55; 35S10; 76S05Nonlinear fractional diffusion; Nonlocal diffusion operators; Logarithmic diffusion; Viscous transport equations
Keywords: 26A33; 34A08Fractional differential equations; Lyapunov’s inequality; Boundary value problem; Positive solutions; Guo–Krasnoselskii fixed point theorem
Keywords: 26A33; 34A12Existence of solutions; Fractional differential equations; Local fractional derivatives; Conformable fractional derivatives; Initial value problems
Keywords: 26A33; 65C30; 47H10; 93B05Stochastic differential equations of Sobolev-type; Existence and uniqueness; Fractional derivatives; Non-Lipschitz coefficients
Keywords: 26A33; 65M06; 65M12; 65M55; 65T50High-order finite difference method; Fractional substantial derivative; Weighted average operator; Stability analysis; Nonsmooth solution
Keywords: primary; 46E35; secondary; 26D10; 26A33; Fractional Gagliardo-Nirenberg; Sobolev inequalities;
Numerical solution based on hybrid of block-pulse and parabolic functions for solving a system of nonlinear stochastic Itô-Volterra integral equations of fractional order
Keywords: 60H20; 65R20; 45D05; 26A33; 40C05; Parabolic functions; Block-pulse functions; Stochastic integral equations; Brownian motion process; Fractional calculus; Operational matrix;
Comment on “Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs”, [Commun Nonlinear Sci Numer Simulat 47 (2017) 253-266]
Keywords: Counterexample; Fractional calculus; Caputo fractional derivative; Product rule; 26A33;
On the solution of time-fractional KdV-Burgers equation using Petrov-Galerkin method for propagation of long wave in shallow water
Keywords: Fractional KdV-Burgers equation; Petrov-Galerkin method; B-spline; Grünwald-Letnikov fractional derivative; 26A33; 35G25; 35R11; 35Q35; 42C40;
Some new Hermite-Hadamard type inequalities for MT-convex functions on differentiable coordinates
Keywords: Hermite-Hadamard type inequality; Differentiable co-ordinated convex functions; 26D15; 26A51; 26A33; 26A42;
Fractional Langevin equation with anti-periodic boundary conditions
Keywords: Langevin equation; Fractional order; Anti-periodic boundary value problem; Coupled fixed point; Mixed monotone operator; Existence; Uniqueness; 26A33; 34A08; 34A12;
A peculiar application of Atangana-Baleanu fractional derivative in neuroscience: Chaotic burst dynamics
Keywords: Atangana-Baleanu fractional derivative In caputo sense; Neuron of Hindmarsh-Rose; Bursting; Chaotic bifurcations; 65P20; 74G25; 65J15; 26A33;
The conservation laws with Lie symmetry analysis for time fractional integrable coupled KdV-mKdV system
Keywords: 26A33; 34A08; 76M60; Time fractional integrable coupled Kdv-mKdv system; Fractional Lie symmetry analysis; Erdélyi-Kober operator; New conservation law;
On the quasi-normal modes of a Schwarzschild white hole for the lower angular momentum and perturbation by non-local fractional operators
Keywords: Schwarzschild white hole; Quasi-normal mode; Fractional model with non-local operator; Atangana-Baleanu fractional derivative in Caputo sense; Numerical scheme; 26A33; 35Q85; 65C20; 97M50;
Nonnegativity of solutions of nonlinear fractional differential-algebraic equations
Keywords: Fractional differential-algebraic equations; nonnegativity of solutions; waveform; relaxation; monotone convergence; 26A33; 33E12;
The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae
Keywords: 41A80; 65D30; 65D32; 42A38; 46E15; 26A16; 46E35; 26A33; Harmonic analysis; Non-bandlimited functions; Fractional order Riesz derivatives; Lipschitz spaces; Numerical integration; Formulae with remainders; Derivative-free error estimates; Shift-invariant s
Optimal variable-order fractional PID controllers for dynamical systems
Keywords: 26A33; 49J25; 37M05; 97N50; 34H05; Variable-order fractional calculus; Variable-order PID controller; Robust control; Optimal control; Particle swarm optimization;
Unsteady MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid with Cattaneo heat flux and different particle shapes
Keywords: Maxwell viscoelastic nanofluid; Fractional Cattaneo model; Nanoparticle shape; Magnetic field; 26A33; 65N06;
Lie symmetry approach for The Vlasov-Maxwell system of equations
Keywords: 34A08; 35R11; 26A33; 58D19; 70S10; Fractional integro-differential equation; Fractional derivative; Lie symmetry; Invariant solution;
Novel algorithms to estimate nonlinear FDEs: Applied to fractional order nutrient-phytoplankton-zooplankton system
Keywords: 26A33; 65R10; 37N25; Nutrient; Plankton; Numerical algorithm; Fractional order system; Stability;
The Prabhakar or three parameter Mittag-Leffler function: Theory and application
Keywords: Prabhakar function; Mittag-Leffler function; Asymptotic expansion; Fractional calculus; Prabhakar derivative; Havriliak-Negami model; Nonlinear heat equation; 33E12; 26A33; 34E05; 35K05;
Fractional Herglotz variational principles with generalized Caputo derivatives
Keywords: Fractional variational principles; Herglotz problem; Euler-Lagrange equations; Generalized fractional operators; 26A33; 49K05; 49S05;
A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus
Keywords: Linear viscoelasticity; Creep; Relaxation; Hadamard fractional derivative; Fractional calculus; Volterra integral equations; Ultra slow kinetics; 26A33; 45D05; 74D05; 74L10; 76A10;