Keywords: Volterra equation; Nonlinearity; Power-type; Numerical method; 45D05; 65R20; 45G10;
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Keywords: 26A33; 37C25; 45D05; 45E10; 65D30; 65R20; Fractional integral equations; Abel integral equations; Fixed-point theory; Picard iteration; Numerical approximation; Product integration;
Keywords: Abel's integral equation; Collocation method; Error estimation; Shifted Jacobi polynomials; 45D05; 45E10; 45F15; 47B36; 65D15;
Keywords: 65R20; 45D05; 34K06; Delay integral equations; Multistep collocation methods; Hermite collocation methods; Convergence analysis;
Keywords: 65R20; 47H10; 45D05; 45G10Attractive solutions; Fixed points theorems; Nonlinear functional integral equations; Measure of noncompactness
Keywords: 54A40; 45D05; 03E72Double fuzzy topology; Slightly double fuzzy continuous function; Generalized double fuzzy semicontinuous function
Keywords: 39A30; 45D05; 45M05; 65R20Volterra integral equations; Hammerstein nonlinearity; Direct quadrature methods; Numerical stability
Keywords: Heroin epidemic model; Treat-age; Drug-free equilibrium; Drug spread equilibrium; Basic reproduction number; Lyapunov functional37C75; 45D05
Keywords: 35B65; 60H15; 35R60; 45D05; 34A08Volterra equation; Stochastic partial differential equation; Fractional differential equation; Wiener process; Gaussian noise; Multiplicative noise
Keywords: 35F16; 45D05; 46E27Measure-valued equations; Flux boundary condition; Mild solutions; Boundary layer asymptotics; Singular limit; Convergence rate
Keywords: 45D05; 45F05; 65D30System of Volterra integral equations; Collocation method; Euler polynomials and series; Euler polynomial solutions
Keywords: 35A05; 35L72; 45D05; 45G10Nonlinear viscoelastic equations; Memory kernel; Existence of solutions; Uniqueness; Continuous dependence
Keywords: Volterra integro-differential equation; Riemann integrable; Bounded derivatives; Lyapunov functional34K20; 45D05; 45M05
Keywords: Double fuzzy topology; (r, s)-generalized fuzzy b-closed sets; (r, s)-generalized ⋆-fuzzy b-closed sets54A40; 45D05; 03E72
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;
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;
Integral equations for Rost's reversed barriers: Existence and uniqueness results
Keywords: 60G40; 60J65; 60J55; 35R35; 45D05; Skorokhod embedding; Rost's reversed barriers; Optimal stopping; Free-boundary problems; Volterra integral equations;
Convergence analysis of the multistep Legendre pseudo-spectral method for Volterra integral equations with vanishing delays
Keywords: 45D05; 45G10; 41A10; 65L60; 65L70; Volterra integral equation; Multistep method; Convergence;
An Lq(Lp)-theory for the time fractional evolution equations with variable coefficients
Keywords: 45D05; 45K05; 45N05; 35B65; 26A33Fractional diffusion-wave equation; Lq(Lp)Lq(Lp)-theory; LpLp-theory; Caputo fractional derivative; Variable coefficients
Meshless method and convergence analysis for 2-dimensional Fredholm integral equation with complex factors
Keywords: 65D30; 45D05; 45G102-dimensional Fredholm integral equation; Radial basis function interpolation; Meshless method; Convergence analysis; Complex factors
Qualitative analysis of nonlinear Volterra integral equations on time scales using resolvent and Lyapunov functionals
Keywords: Lyapunov Functionals; Non-negative solution; Resolvent; Time scales; Volterra integral equation34A34; 34N05; 45D05; 39A12
Haar wavelet method for some nonlinear Volterra integral equations of the first kind
Keywords: 65R20; 45G10; 45D05; 41A30Nonlinear Volterra integral equation; Haar wavelet; Operational matrix
Numerical solution of Volterra–Fredholm integral equations via modification of hat functions
Keywords: 45D05; 45B05; 45G10; 65D30Volterra–Fredholm integral equations; Modified hat functions; Vector forms; Operational matrices; Error analysis
A multistep Legendre pseudo-spectral method for Volterra integral equations
Keywords: Volterra integral equation; Multistep method; Convergence; 45D05; 45G10; 41A10; 65L60; 65L70;
The Moore–Gibson–Thompson equation with memory in the critical case
Keywords: 35B35; 35G05; 45D05; 47D06Moore–Gibson–Thompson equation with memory; Memory kernel; Exponential decay; Semiuniform stability
Numerical solution of Volterra integral-algebraic equations using block pulse functions
Keywords: Approximate solutions; Block pulse functions; Numerical method; Integral-algebraic equations65R20; 33D45; 45D05; 45F05
An iterative numerical method for Fredholm–Volterra integral equations of the second kind
Keywords: Fredholm–Volterra integral equations; Fixed-point theory; Picard iteration; Numerical approximation45B05; 45D05; 45P05; 47H09; 65D32
Applying the modified block-pulse functions to solve the three-dimensional Volterra–Fredholm integral equations
Keywords: Three-dimensional; Volterra–Fredholm; Modification; Block-pulse functions; Error analysis45B05; 45D05; 65D30; 65R20
Nonlinear perturbations of a class of holomorphic semigroups of growth order αα by comparison theorems for Volterra equations
Keywords: 35K90; 45D05; 47J35Almost sectorial operator; Holomorphic semigroup of growth order αα; Integral equation of Volterra type; Comparison theorem; Drift–diffusion system
The reproducing kernel method for solving the system of the linear Volterra integral equations with variable coefficients
Keywords: 45D05; 65D30Variable coefficients; Volterra integral equations; The reproducing kernel method; Exact solution
The numerical solution of the non-linear integro-differential equations based on the meshless method
Keywords: 65R20; 45D05; 45G10; 47G20Moving least square method; Fredholm integro-differential equation; Volterra integro-differential equation; Error analysis
A numerical method for solving Fredholm–Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix
Keywords: 45B05; 45D05; 45A05Two-dimensional Fredholm–Volterra integral equations; Block pulse functions; Operational matrix
Biorthogonal systems for solving Volterra integral equation systems of the second kind
Keywords: 65R20; 45D05; 46B15; 47H09Systems of nonlinear Volterra integral equations of the second kind; Biorthogonal systems in a Banach space; Fixed point; Numerical methods
Functional differential inclusions generated by functional differential equations with discontinuities
Keywords: 34K09; 45D05; 46N60Multivalued operators; Filippov’s theory; Delay; Gene regulatory networks
Numerical method for solving diffusion-wave phenomena
Keywords: 26A33; 33E12; 45K05; 45D05; 46F10; 26A33Convolution equations; Fractional equations of distributed order; Diffusion-wave phenomena; Tempered distributions; Approximation of tempered convolution; Laguerre polynomials
On the asymptotic regime of a model for friction mediated by transient elastic linkages
Keywords: 35Q92; 35B40; 45D05; Friction coefficient; Protein linkages; Cell adhesion; Renewal equation; Effect of chemical bonds; Lyapunov functional; Comparison principle; Integral equation; Volterra kernel;
Blowing up behavior for a class of nonlinear VIEs connected with parabolic PDEs
Keywords: 65R20; 35B40; 45D05; 45E10; 45G05Volterra integral equations; Blow-up; Numerical approximations; Collocation methods
Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions
Keywords: 65R20; 45A05; 45D05; 41A30Volterra integral equation of the first kind; Direct method; Vector forms; Block-pulse functions; Operational matrix
A parallel algorithm for large systems of Volterra integral equations of Abel type
Keywords: 45D05; 45E10; 45F15; 65R20; 65T50; 65Y05Volterra–Abel integral equations; Waveform relaxation methods; Fractional linear methods; Fast Fourier transform; Parallel algorithm
Conditions for blow-up of solutions of some nonlinear Volterra integral equations
Keywords: 45M99; 45D05; 45G10Volterra; Nonlinear integral equations; Blow-up
Recent results on blow-up and quenching for nonlinear Volterra equations
Keywords: 45D05; 45G05; 35K55; 34A12Nonlinear integral equations; Volterra; Blow-up; Explosion; Quenching; Reaction-diffusion; Difference kernels; Volterra integral equations of the second kind; Literature review
System of nonlinear Volterra’s integral equations with polar kernel and singularities
Keywords: 46F30; 45D05; 46F05System of nonlinear Volterra’s integral equations with polar kernel; Regularization with delta sequences; Existence-uniqueness theorems; Colombeau algebras
Optimization in a vintage capital model with piecewise linear cost function
Keywords: primary; 45D05; secondary; 49K22; 93C95; Optimal control; Nonlinear Volterra integral equations; Vintage capital models; Capital lifetime;
Fast collocation methods for Volterra integral equations of convolution type
Keywords: 65R20; 45D05; 44A35; 44A10Volterra integral equations of Hammerstein type; Collocation methods; Convolution; Fast numerical methods
An efficient and fast parallel method for Volterra integral equations of Abel type
Keywords: 45D05; 45E10; 65R20; 65Y05Abel equations; Parallel methods; Waveform relaxation methods; Chebyshev polynomial; Talbot contours
Computational modelling of thermoforming processes in the case of finite viscoelastic materials
Keywords: 73F15; 45D05; 65M60Thermoforming; Membranes; Finite strain; Viscoelasticity; Adaptivity
Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities
Keywords: 45D05; 45G10; 45M20; Nonlinear Abel integral equations; Convolution kernel; Non-convolution kernel; Non-unique solution; Power-law non-linearity; Cones in Banach spaces;
Power-type estimates for a nonlinear fractional differential equation
Keywords: 26A33 (primary); 34C11; 34D05; 45D05; 45E10; Asymptotic behavior; Fractional derivative; Riemann-Liouville integral; Singular kernel; Weighted Cauchy-type problem;
On deconvolution problems: numerical aspects
Keywords: 45D05; 45L05; 45P05; 65R20; 65R30; Linear ill-posed problems; Volterra equations; Deconvolution;