Keywords: 26A33; 34K37; 34K40; 34K45; 35R60; 45J05; 46C15; 60H15; 60H20; Analytic semigroup; Banach fixed point theorem; Caputo derivative; Faedo-Galerkin approximation; Stochastic differential equation;
مقالات ISI (ترجمه نشده)
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Keywords: Neutral and high-order Volterra-Fredholm integro-differential equation; Legendre-spectral method; Guass quadrature formula; Convergence analysis; 45J05; 65R20; 34K06; 34K28;
Keywords: 65R20; 45J05; 65N12; Multidimensional nonlinear Volterra integral equation; Chebyshev collocation discretization; Multidimensional Gauss quadrature formula; Convergence analysis;
Keywords: primary; 37L45; 92D30; secondary; 45J05; Integro-differential equations; Nonlocal structures; Nonlinear semi-groups; Principal spectral conditions; Global stability; Lyapunov functions;
Keywords: Singular partial integro-differential equation; 2D shifted Legendre polynomial; Operational matrix of differentiation; Almost operational matrix of integration; Product operational matrix; 45J05; 60J60; 42C40;
Keywords: 45J05; 45L10; 65R05; Fixed point theorem; Schauder basis; Systems of nonlinear mixed Fredholm-Volterra integro-differential equations;
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: 47H30; 47N60; 47G10; 45L05; 45J05; 92B20Nonlinear integral equations; Sigmoid type nonlinearities; Neural field model; FitzHugh–Nagumo model; Bumps
Keywords: Fuzzy integro-differential equation; Upper, lower solution method; Extremal solution34A07; 45J05; 34A12
Keywords: 45J05; 34B40; 65L20Numerical solution of boundary value problems; Non-linear non-standard integro-differential equations; Half-line; Order of convergence; Uniqueness
Keywords: Fractional order differential equations; Impulsive conditions; State-dependent delay; Fixed point theorems; Semigroup theory34K05; 26A33; 34A12; 35R12; 45J05
Keywords: 34G20; 34K37; 34K45; 35R12; 45J05; 60H15; 60H20Resolvent operator; Impulsive differential equation; Fixed point theorem; Neutral integro-differential equation; Stochastic differential equation
Keywords: Non-linear; Volterra integro-differential equation; Stability; Boundedness; Lyapunov functional34D05; 34K20; 45J05
An efficient algorithm for solving Volterra integro-differential equations based on Alpert's multi-wavelets Galerkin method
Keywords: 65R20; 45J05; 65T60; Volterra integro-differential equations; Multi-wavelets; Operational matrix of integration;
The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation
Keywords: Integro-differential-algebraic equations; Differentiability index; Piecewise polynomial collocation methods; Numerical treatment; 65R20; 45F15; 45J05;
Error analysis of a spectrally accurate Volterra-transformation method for solving 1-D Fredholm integro-differential equations
Keywords: Integro-ordinary differential equations; Error bounds; Spectral Collocation and related methods; 45J05; 65L70; 65M70;
New general solutions to linear Fredholm integro-differential equations and their applications on solving the boundary value problems
Keywords: 45J05; 45J99; 34K10; Integro-differential equation; ÎN general solution; Solvability criteria; Construction of solution;
Piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind in L2
Keywords: 45E05; 45J05; Cauchy kernel; Projection method; Piecewise constant functions;
A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations
Keywords: Nonlinear; Volterra integro-differential equations; First order; Asymptotic stability; Boundedness; Lyapunov functional; 34D05; 34K20; 45J05;
Legendre spectral collocation method for volterra-hammerstein integral equation of the second kind
Keywords: Volterra-Hammerstein integral equation; Legendre collocation discretization; Gauss quadrature formula; 65R20; 45J05; 65N12;
A new collocation approach for solving systems of high-order linear Volterra integro-differential equations with variable coefficients
Keywords: Systems of mixed linear Volterra integro-differential equations; Numerical approximation; Fibonacci polynomials; Collocation points; 41A58; 34K28; 45J05; 41A10;
System of linear second order Volterra integro-differential equations using Single Term Walsh Series technique
Keywords: Volterra equations; Second order integro-differential equations of second kind; Single Term Walsh Series (STWS); Numerical methods34K28; 47G20; 45J05
A fast numerical algorithm based on the second kind Chebyshev polynomials for fractional integro-differential equations with weakly singular kernels
Keywords: 26A33; 45J05; 45E10; 65N35Fractional integro-differential equation; Second kind Chebyshev polynomials; Operational matrix; Volterra integral equation
On one approach to solve the linear boundary value problems for Fredholm integro-differential equations
Keywords: 45J05; 45L05; 47G20; 65Q99Fredholm integro-differential equation; Parameterization method; Algorithm; Well-posedness
A simple finite element method for boundary value problems with a Riemann–Liouville derivative
Keywords: 34B24; 45J05; 47G20Finite element method; Riemann–Liouville derivative; Fractional boundary value problem; Sturm–Liouville problem; Singularity reconstruction
Fractional p-Laplacian evolution equations
Keywords: 45G10; 45J05; 47H06Fractional Sobolev spaces; p-Laplacian; Dirichlet problem; Cauchy problem; Neumann problem
A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation
Keywords: 45J05; 65R20Multiscale Galerkin method; Multiscale othonormal bases; Boundary value problems; Fredholm integro-differential equation
Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations
Keywords: 35K20; 35K57; 45C05; 45J05; 92D25Nonlocal dispersal; Random dispersal; KPP equation; Principal eigenvalue; Principal spectrum point; Positive time periodic solution
On the numerical solution of a class of nonstandard Sturm–Liouville boundary value problems
Keywords: 65L12; 65H10; 34B15; 45J05; 47H10; 15B48Numerical iterative methods; Integro-differential boundary value problems; Nonlinear problems; Fixed point theory; MM-matrices
A unification theory of Krasnoselskii for differential equations
Keywords: 34A08; 34D20; 34K40; 45J05; 47G05; 47H10; Fixed points; Fractional differential equations; Integral equations; Neutral equations;
Fixed point techniques and Schauder bases to approximate the solution of the first order nonlinear mixed Fredholm–Volterra integro-differential equation
Keywords: 65R05; 45J05; 45L05; 45N05Schauder bases; Fredholm–Volterra integro-differential equation; Fixed point; Numerical methods
Fully discretized collocation methods for nonlinear singular Volterra integral equations
Keywords: 65R20; 45J05; Nonlinear Volterra integral equation; Cordial equation; Fully discretized collocation methods; Graded meshes;
On a nonlocal diffusion model with Neumann boundary conditions
Keywords: 45A05; 45J05; 35K05Nonlocal diffusion; Neumann boundary conditions; Asymptotic behavior
Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem
Keywords: 45J05; 34k30Nontrivial periodic solutions; Spectral radius; Topological degree; Fixed point
The profile of blowing-up solutions to a nonlinear system of fractional differential equations
Keywords: 26A33; 45J05; 34K37Nonlinear system; Fractional derivative; Integral equations; Blow-up time; Laplace transform
New algorithm for second-order boundary value problems of integro-differential equation
Keywords: 45J05; 47J20; 47B32; 34K28Integro-differential equation; Reproducing kernel space; Iterative method
On spectral methods for Volterra-type integro-differential equations
Keywords: 45J05; 65R20; 65M12; 65M70Legendre-spectral method; Gauss quadrature formulas; Volterra-type integro-differential equations
Nontrivial solutions of m-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear term
Keywords: 45J05; 34k30Singular second-order differential equations; mm-point BVP; Sign-changing; Eigenvalue; Topological degree
Multiple solutions of singular three-point boundary value problems on [0,∞)[0,∞)
Keywords: 45J05; 34k30Three point; Multiple solutions; Lower and upper solutions; Topological degree; Half-line
Numerical performance of stability enhancing and speed increasing steps in radiative transfer solution methods
Keywords: 45J05; 65R20; 65Y20; 85A25Radiative transfer; Solution method; Numerical performance; Stability; Speed; Accuracy
Integration matrix based on arbitrary grids with a preconditioner for pseudospectral method
Keywords: 45J05; 65N35; 65L60; 41A30Pseudospectral; Preconditioner; Arbitrary grids; Random grids; Integro-differential equations
Positive solutions of two-point boundary value problems for systems of nonlinear second-order singular and impulsive differential equations
Keywords: 45J05; 34k30Singular two-point boundary value problem with impulsive terms; Multiple and single positive solutions; Ordered Banach space; Fixed-point index
Positive solutions for singular second order three-point boundary value problems
Keywords: 45J05; 34k30Three point; Singular; Positive solution; Theory of fixed point index
Global exponential stability in DCNNs with distributed delays and unbounded activations
Keywords: 34K20; 45J05; 92B20; 93D30Cellular neural networks; Distributed delays; Equilibria; Lyapunov functionals; Exponential stability
Global solutions of nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces
Keywords: 45J05; 34K30Global solution; Impulsive integro-differential equation; Initial value problem; Ordered Banach space
Function bounds for solutions of Volterra equations and exponential asymptotic stability
Keywords: 26D10; 45J05; 45M10Exponential asymptotic stability; Function bounds; Gronwall’s inequality; Variation of parameters formula; Volterra integro-differential equations
Dynamics and stability of impulsive hybrid setvalued integro-differential equations with delay
Keywords: 34K45; 45J05; 34K20; 34D20Impulsive hybrid set integro-differential equations with delay; Existence; Stability
Approximations to the solution of linear Fredholm integrodifferential-difference equation of high order
Keywords: 45A05; 45B05; 45J05; Taylor polynomials and series; Differential-difference and fredholm integrodifferential equations;
Global solutions of initial value problems for nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces
Keywords: 45J05; 34k30; Global solution; Second-order impulsive integro-differential equation; Initial value problem; Ordered Banach space;