Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Integral boundary conditions; Positive solution; Green function; Superlinear (sublinear) condition
مقالات ISI معادلات دیفرانسیل جزئی (ترجمه نشده)
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Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Mellin transform; Self-similarity of inverse Mellin transform
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Fractional Burgers-Poisson equation; Fractional integration; Fractional Lie group method;
Keywords: معادلات دیفرانسیل جزئی; Impulsive; Fractional differential equations; Solutions; Stability
Keywords: معادلات دیفرانسیل جزئی; 65M60; 65M12; 65M06; 35S10; 65R20; Finite element methods; Fractional differential equations; Convergence analysis;
Keywords: معادلات دیفرانسیل جزئی; Approximate controllability; Fractional differential equations; Compact operators; Semigroup theory
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Integral boundary value problems; Multiplicity of solutions; Upper and lower solutions; Leray–Schauder degree theory
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Approximate controllability; Nonlocal conditions; Fixed point theorems; Compact semigroup;
Keywords: معادلات دیفرانسیل جزئی; Fractional Caputo derivatives; Fractional differential equations; Mild solution; Approximate controllability; Optimal controls; Regularization of Tikhonov type
Keywords: معادلات دیفرانسیل جزئی; Haar wavelet; Operational matrix; Fractional differential equations; Variable coefficients; Numerical solution
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Caputo derivative; Stable manifold theorem;
Keywords: معادلات دیفرانسیل جزئی; Volterra equations; Euler scheme; Stochastic partial differential equations; Finite element method; Weak convergence; Convolution quadrature; Fractional differential equations;
Keywords: معادلات دیفرانسیل جزئی; Higher order methods; Fractional differential equations; Finite differences; Advection diffusion equations;
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Solution operator; Mild solutions; S-Asymptotically ω-periodic functions
Keywords: معادلات دیفرانسیل جزئی; Bihari inequality; Fractional differential equations; Riemann-Liouville integral; Cauchy-type problem; singular differential equations;
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Attractivity; Riemann-Liouville derivative; Measure of noncompactness;
Keywords: معادلات دیفرانسیل جزئی; 26A33; 34A12Existence of solutions; Fractional differential equations; Local fractional derivatives; Conformable fractional derivatives; Initial value problems
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Caputo derivative; Mittag Leffler function; Duhamel principle
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Constant coefficient; Particular solution; Eigenfunction; Transfer function
Keywords: معادلات دیفرانسیل جزئی; Phase transitions; Subdiffusion; Fractional differential equations; Front dynamics; Curvature flow
Keywords: معادلات دیفرانسیل جزئی; Operational calculus; Fractional differential equations; Weyl fractional calculus
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Boundary value problems; Positive solution; Monotone iterative method
Solving PDEs of fractional order using the unified transform method
Keywords: معادلات دیفرانسیل جزئی; Fractional calculus; Partial differential equations; Fractional differential equations; Fokas method;
A new finite-difference predictor-corrector method for fractional differential equations
Keywords: معادلات دیفرانسیل جزئی; Fractional derivatives; Fractional differential equations; Numerical methods; Error analysis;
Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions
Keywords: معادلات دیفرانسیل جزئی; Fermi-Pasta-Ulam (FPU) model; Long-Range Interactions (LRI); Fractional differential equations;
Spike solutions in Gierer#x2013;Meinhardt model with a time dependent anomaly exponent
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Matched asymptotic expansions; Variable order differential equations; Numerical estimates of memory integrals;
On the new properties of Caputo-Fabrizio operator and its application in deriving shifted Legendre operational matrix
Keywords: معادلات دیفرانسیل جزئی; Caputo-Fabrizio operator; Caputo fractional derivative; Fractional differential equations; Shifted Legendre operational matrix;
Lie symmetries, symmetry reductions and conservation laws of time fractional modified Korteweg-de Vries (mkdv) equation
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Fractional lie group method; Lie symmetries; 35R11; 70S10; 76M60;
Integrablization of time fractional PDEs
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Integrablization;
Galerkin spectral method for the fractional nonlocal thermistor problem
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Finite difference method; Galerkin spectral method; Stability; Error analysis;
CAS Picard method for fractional nonlinear differential equation
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; CAS wavelet; Operational matrices; Picard technique;
Comments on “Lyapunov stability theorem about fractional system without and with delay”
Keywords: معادلات دیفرانسیل جزئی; Lyapunov stability; fractional differential equations; Delay;
On the Perturbation–Iteration Algorithm for fractional differential equations
Keywords: معادلات دیفرانسیل جزئی; Caputo fractional derivative; Fractional differential equations; Initial value problems; Perturbation–Iteration method
Research ArticleBoundedness of the solutions for certain classes of fractional differential equations with application to adaptive systems
Keywords: معادلات دیفرانسیل جزئی; Fractional calculus; Fractional differential equations; Error models; Adaptive systems;
The Müntz-Legendre Tau method for fractional differential equations
Keywords: معادلات دیفرانسیل جزئی; Caputo derivative; Fractional differential equations; Müntz-Legendre polynomials; Tau method
On Caputo–Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Caputo–Hadamard fractional calculus; Multi-orders; Impulse; Existence; Fixed point theorems
Caputo derivatives of fractional variable order: Numerical approximations
Keywords: معادلات دیفرانسیل جزئی; Fractional calculus; Fractional variable order; Fractional differential equations; Approximation methods33F05; 35R1102.30.Gp; 02.60.Lj
Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms
Keywords: معادلات دیفرانسیل جزئی; Fast convolution method; Fractional differential equations; Fluid-structure interaction; Spectral element method; Patient-specific vasculature; Brain aneurysm;
Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions
Keywords: معادلات دیفرانسیل جزئی; Extremal solutions; Monotone sequence; Fractional differential equations; Nonlinear integral boundary conditions; Iterative algorithm
DMLPG solution of the fractional advection–diffusion problem
Keywords: معادلات دیفرانسیل جزئی; Meshless methods; Generalized moving least squares (GMLS) approximation; DMLPG method; Fractional differential equations
Controllability of fractional damped dynamical systems
Keywords: معادلات دیفرانسیل جزئی; Controllability; Fractional differential equations; Mittag-Leffler function; Gramian matrix; Iterative technique;
Multipoint BVPs for generalized impulsive fractional differential equations
Keywords: معادلات دیفرانسیل جزئی; Multipoint BVPs; Impulsive; Fractional differential equations
Stable regions in the parameter space of delays for LTI fractional-order systems with two delays
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Memory; Time-delay systems; Stability; Two delays; Scalar systems;
Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods
Keywords: معادلات دیفرانسیل جزئی; Three solutions; Fractional differential equations; Variational methods; Critical point;
Numerical solutions for fractional differential equations by Tau-Collocation method
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Tau-Collocation method; Caputo derivative; Orthogonal polynomial; Matrix representation
Haar wavelet Picard method for fractional nonlinear partial differential equations
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Haar wavelet; Operational matrices; Picard iteration
On the concept of general solution for impulsive differential equations of fractional-order q∈(1, 2)
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Impulsive fractional differential equations; Impulse; General solution
An efficient computational intelligence approach for solving fractional order Riccati equations using ANN and SQP
Keywords: معادلات دیفرانسیل جزئی; Riccati equations; Nonlinear systems; Fractional differential equations; Artificial neural networks; Sequential quadratic programming;
Fuzzy fractional functional differential equations under Caputo gH-differentiability
Keywords: معادلات دیفرانسیل جزئی; Fractional differential equations; Fuzzy functional differential equations; Lipschitz generalized condition; Adams-Bashforth-Moulton method;
A Schauder-type fixed point theorem
Keywords: معادلات دیفرانسیل جزئی; Schauder's theorem; Fixed points; Fractional differential equations; Nonlinear integral equations