Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis

DOI10.3233/FI-2019-1796zbMath1435.65182OpenAlexW2934529063WikidataQ128165904 ScholiaQ128165904MaRDI QIDQ5379879

Publication date: 14 June 2019

Published in: Fundamenta Informaticae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/fi-2019-1796

zbMATH Keywords

boundary value problems numerical algorithm comparative analysis fractional order system reproducing kernel theory Dirichlet function types

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Related Items

Semi-analytical study of pine wilt disease model with convex rate under Caputo-Febrizio fractional order derivative, Monotonically decreasing behavior of measles epidemic well captured by Atangana-Baleanu-Caputo fractional operator under real measles data of Pakistan, A general stability criterion for multidimensional fractional-order network systems based on whole oscillation principle for small fractional-order operators, A generalized isospectral-nonisospectral heat equation hierarchy and its expanding integrable model, The two variable \((\phi^\prime/\phi, 1/\phi)\)-expansion method for solving the time-fractional partial differential equations, Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems, Periodic boundary value problem involving sequential fractional derivatives in Banach space, New extensions of Chebyshev-Pólya-Szegö type inequalities via conformable integrals, Approximate solutions of Atangana-Baleanu variable order fractional problems, Nehari type solutions for fractional Hamiltonian systems, A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations, A numerical solution for fractional linear quadratic optimal control problems via shifted Legendre polynomials, Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions, Toward an efficient approximate analytical solution for 4-compartment COVID-19 fractional mathematical model, An efficient numerical approach for solving two-point fractional order nonlinear boundary value problems with Robin boundary conditions, Solving nonlinear elliptic equations in arbitrary plane domains by using a new splitting and linearization technique, Almost periodic dynamics of memristive inertial neural networks with mixed delays, A new kernel functions based approach for solving 1-D interface problems, Approximate solutions for some reaction-diffusion systems with non integer order, Mixed reproducing kernel-based iterative approach for nonlinear boundary value problems with nonlocal conditions, Mathematical analysis for an autonomous financial dynamical system via classical and modern fractional operators, A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs' free energy for a nonlinear combustion equation, A new multiscale algorithm for solving second order boundary value problems, Meshfree methods for nonlinear equilibrium radiation diffusion equation, A Laplace substitution method of space‐time fractional order including jumbled partial derivatives, Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations, Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator, Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense, Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu, Fundamental results on weighted Caputo-Fabrizio fractional derivative, Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations, A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem, Coupling the BEM and analytical solutions for the numerical simulation of transient heat conduction in a heterogeneous solid medium, An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative, The influence of flexible fluid structure interactions on sway induced tank sloshing dynamics, A novel technique for \((2 + 1)\)-dimensional time-fractional coupled Burgers equations, Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions, On semilocal convergence of three-step Kurchatov method under weak condition, Nonlinear system identification using fractional Hammerstein-Wiener models, Explicit solutions and numerical simulations for an asymptotic water waves model with surface tension, Dynamical study of quadrating harvesting of a predator-prey model with Monod-Haldane functional response, Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point flow over a stretching/shrinking sheet, Application of Adomian decomposition method to nonlinear systems, An adaptive numerical approach for the solutions of fractional advection-diffusion and dispersion equations in singular case under Riesz's derivative operator, Jacobi elliptic function expansion method for solving KdV equation with conformable derivative and dual-power law nonlinearity, New contributions for new class of Hamiltonian systems, A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator, Design of intelligent computing networks for nonlinear chaotic fractional Rossler system, Analysis and control of complex variable hyper-chaotic Robinovich system with fractional derivative, Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types in hilbert space with error analysis, PIECEWISE OPTIMAL FRACTIONAL REPRODUCING KERNEL SOLUTION AND CONVERGENCE ANALYSIS FOR THE ATANGANA–BALEANU–CAPUTO MODEL OF THE LIENARD’S EQUATION, THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH, Optimal Control and Stability Analysis of Malaria disease: A model Based Approach