Found 251 Documents (Results 1–100)
A fast finite difference method for 2D time variable fractional mobile/immobile equation. (English) Zbl 07886670
Dynamics of Caputo fractional-order SIRV model: the effects of imperfect vaccination on disease transmission. (English) Zbl 1537.92102
Inverting mechanical and variable-order parameters of the Euler-Bernoulli beam on viscoelastic foundation. (English) Zbl 07829444
Quasi-synchronization for variable-order fractional complex dynamical networks with hybrid delay-dependent impulses. (English) Zbl 1533.93750
Collocation method with Lagrange polynomials for variable-order time-fractional advection-diffusion problems. (English) Zbl 1536.65117
Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods. (English) Zbl 1534.65213
Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations. (English) Zbl 1535.65142
Reviewer: Gianluca Frasca-Caccia (Fisciano)
Stable computational techniques for the advection-dispersion variable order model. (English) Zbl 07873504
A high order numerical method for the variable order time-fractional reaction-subdiffusion equation. (English) Zbl 07846792
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order. (English) Zbl 1537.35388
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations. (English) Zbl 1536.65079
Variable-order implicit fractional differential equations based on the Kuratowski MNC technique. (English) Zbl 1537.34022
Solution of variable-order partial integro-differential equation using Legendre wavelet approximation and operational matrices. (English) Zbl 1535.65217
A collocation method for solving proportional delay Riccati differential equations of fractional order. (English) Zbl 1532.65036
Som, Tanmoy (ed.) et al., Applied analysis, optimization and soft computing. ICNAAO-2021, Varanasi, India, December 21–23, 2021. Singapore: Springer. Springer Proc. Math. Stat. 419, 203-217 (2023).
On the formulation of a predictor-corrector method to model IVPs with variable-order Liouville-Caputo-type derivatives. (English) Zbl 1537.34019
A new hybrid approach for nonlinear stochastic differential equations driven by multifractional Gaussian noise. (English) Zbl 1528.60057
A variable-order fractional neural network: dynamical properties, data security application, and synchronization using a novel control algorithm with a finite-time estimator. (English) Zbl 1533.93272
A mathematical model for precise predicting microbial propagation based on solving variable-order fractional diffusion equation. (English) Zbl 1531.35348
An approximate solution for variable-order fractional optimal control problem via Müntz-Legendre wavelets with an application in epidemiology. (English) Zbl 1532.49003
A theoretical investigation of Caputo variable order fractional differential equations: existence, uniqueness, and stability analysis. (English) Zbl 07784418
MSC:
34K37
On the boundary value problems of Hadamard fractional differential equations of variable order. (English) Zbl 1532.34009
On the qualitative evaluation of the variable-order coupled boundary value problems with a fractional delay. (English) Zbl 1532.34079
Existence theory and numerical simulations of variable order model of infectious disease. (English) Zbl 1528.34043
Chebyshev spectral method for the variable-order fractional mobile-immobile advection-dispersion equation arising from solute transport in heterogeneous media. (English) Zbl 07761676
Study on the performance of variable-order fractional viscoelastic models to the order function parameters. (English) Zbl 1525.74202
MSC:
74S40
On the variable order fractional calculus of fractal interpolation functions. (English) Zbl 1522.26008
Mixed Poisson-Gaussian noise reduction using a time-space fractional differential equations. (English) Zbl 1521.94007
Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution. (English) Zbl 1521.35194
A computational approach to exponential-type variable-order fractional differential equations. (English) Zbl 1521.34009
On qualitative analysis of boundary value problem of variable order fractional delay differential equations. (English) Zbl 1527.34109
Reviewer: Xiping Liu (Shanghai)
Numerical simulation of variable-order fractional differential equation of nonlinear Lane-Emden type appearing in astrophysics. (English) Zbl 07715011
Numerical scheme with convergence analysis and error estimate for variable order weakly singular integro-differential equation. (English) Zbl 07714950
Du Fort-Frankel scheme for the variable order time fractional diffusion equation. (English) Zbl 1524.65311
A finite element approximation to a viscoelastic Euler-Bernoulli beam with internal damping. (English) Zbl 1540.74140
On the convergence of piecewise polynomial collocation methods for variable-order space-fractional diffusion equations. (English) Zbl 1540.65440
The convergence of Euler-Maruyama method of nonlinear variable-order fractional stochastic differential equations. (English) Zbl 1538.65014
Step-variable-order fractional viscoelastic-viscoinertial constitutive model and experimental verification of cemented backfill. (English) Zbl 1519.74010
Solution of time-fractional equations via Sumudu-Adomian decomposition method. (English) Zbl 1538.35450
Numerical schemes for variable exponent fractional-type integral equations. (English) Zbl 1534.65272
Fractional-order Chebyshev wavelet method for variable-order fractional optimal control problems. (English) Zbl 1531.49028
Exponential synchronization for variable-order fractional discontinuous complex dynamical networks with short memory via impulsive control. (English) Zbl 1525.93348
Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena. (English) Zbl 1510.65259
Analysis and implementation of numerical scheme for the variable-order fractional modified sub-diffusion equation. (English) Zbl 1509.65068
Algorithm for the solution of nonlinear variable-order pantograph fractional integro-differential equations using Haar method. (English) Zbl 1520.65048
An efficient numerical approach for solving variable-order fractional partial integro-differential equations. (English) Zbl 1513.65426
Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems. (English) Zbl 1503.45015
The existence and uniqueness of solutions for variable-order fractional differential equations with antiperiodic fractional boundary conditions. (English) Zbl 1506.34022
A hybrid wavelet-meshless method for variable-order fractional regularized long-wave equation. (English) Zbl 1521.65098
Effective numerical technique for solving variable order integro-differential equations. (English) Zbl 1496.65177
Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation. (English) Zbl 1498.35577
MSC:
35R11
A new numerical approach for the analysis of variable fractal and fractional order differential equations. (English) Zbl 1507.65155
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. (English) Zbl 1496.65143
Time-fractional differential equations with variable order using RDTM and ADM: application to infectious-disease model. (English) Zbl 1494.35165
Leibniz-type rule of variable-order fractional derivative and application to build Lie symmetry framework. (English) Zbl 1510.26006
MSC:
26A33
On critical variable-order Kirchhoff type problems with variable singular exponent. (English) Zbl 1491.35226
Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations. (English) Zbl 1499.35697
Existence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanics. (English) Zbl 07534934
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations. (English) Zbl 07534930
The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. (English) Zbl 07533815
A fast collocation method for solving the weakly singular fractional integro-differential equation. (English) Zbl 1499.65355
On the fractional variable order thermostat model: existence theory on cones via piece-wise constant functions. (English) Zbl 1498.34040
An operational matrix technique based on Chebyshev polynomials for solving mixed Volterra-Fredholm delay integro-differential equations of variable-order. (English) Zbl 1490.65320
A class of \(p_1 (x, \cdot)\) & \(p_2 (x, \cdot)\)-fractional Kirchhoff-type problem with variable \(s(x, \cdot)\)-order and without the Ambrosetti-Rabinowitz condition in \(\mathbb{R}^N\). (English) Zbl 1490.35160
A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation. (English) Zbl 1513.65420
All-at-once method for variable-order time fractional diffusion equations. (English) Zbl 1493.65135
Reviewer: Bülent Karasözen (Ankara)
Optimal control problem of variable-order delay system of advertising procedure: numerical treatment. (English) Zbl 1487.49060
Numerical analysis of variable-order fractional KdV-Burgers-Kuramoto equation. (English) Zbl 07510633
MSC:
65Mxx
Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysis. (English) Zbl 1524.65971
Numerical analysis of axially non-linear viscoelastic string with the variable fractional order model by using Bernstein polynomials algorithm. (English) Zbl 1513.65431
Variable-order approach to nonlocal elasticity: theoretical formulation, order identification via deep learning, and applications. (English) Zbl 07492669
MSC:
74-XX
A support vector machine method for two time-scale variable-order time-fractional diffusion equations. (English) Zbl 1482.65156
Numerical approximation for a nonlinear variable-order fractional differential equation via a collocation method. (English) Zbl 1540.35459
MSC:
35R11
Generalized Lyapunov stability and designing pseudo-state/order estimator for incommensurate variable order systems. (English) Zbl 1482.93444
Temporal second-order finite difference schemes for variable-order time-fractional wave equations. (English) Zbl 1481.65128
An efficient numerical approach to solve a class of variable-order fractional integro-partial differential equations. (English) Zbl 1534.65122
Synchronization in finite time for variable-order fractional complex dynamic networks with multi-weights and discontinuous nodes based on sliding mode control strategy. (English) Zbl 1526.93228
Adaptive control for discontinuous variable-order fractional systems with disturbances. (English) Zbl 1517.93052
An original perspective on variable-order fractional operators for viscoelastic materials. (English) Zbl 1539.74085
Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations. (English) Zbl 1494.34034
Multiterm boundary value problem of Caputo fractional differential equations of variable order. (English) Zbl 1494.34092
Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique. (English) Zbl 1494.34019
Solving a class of variable-order differential equations via Ritz-approximation method and Genocchi polynomials. (English) Zbl 1513.65256
Computation of traveling wave solution for nonlinear variable-order fractional model of modified equal width equation. (English) Zbl 1525.35225
Unique existence of solution to initial value problem for fractional differential equation involving with fractional derivative of variable order. (English) Zbl 1485.34061
An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis. (English) Zbl 1498.35336
MSC:
35K57
On definition of solution of initial value problem for fractional differential equation of variable order. (English) Zbl 1484.34050
Strong convergence of a Euler-Maruyama scheme to a variable-order fractional stochastic differential equation driven by a multiplicative white noise. (English) Zbl 1496.65012
Numerical solution of variable-order differential equations via the Ritz-approximation method by shifted Legendre polynomials. (English) Zbl 1487.65104
An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates. (English) Zbl 1480.65193
An hp-version spectral collocation method for multi-term nonlinear fractional initial value problems with variable-order fractional derivatives. (English) Zbl 1480.65194
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation. (English) Zbl 1484.42032
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