A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
DOI10.1186/1687-1847-2013-104zbMath1380.34004OpenAlexW2169253851WikidataQ59292881 ScholiaQ59292881MaRDI QIDQ1693536
Dumitru Baleanu, Ali Ahmadian, Soheil Salahshour, Mohamed Bin Suleiman
Publication date: 31 January 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2013-104
Jacobi polynomialsoperational matrixfuzzy fractional differential equationCaputo-type fuzzy fractional derivativesingle-term Caputo fractional differential equation
Best approximation, Chebyshev systems (41A50) Stability and convergence of numerical methods for ordinary differential equations (65L20) Applications of hypergeometric functions (33C90) Fuzzy real analysis (26E50) Fractional ordinary differential equations (34A08) Fuzzy ordinary differential equations (34A07)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A mathematical model for simulation of a water table profile between two parallel subsurface drains using fractional derivatives
- Existence and uniqueness results for fractional differential equations with uncertainty
- An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
- A new numerical algorithm to solve fractional differential equations based on operational matrix of generalized hat functions
- Solving fuzzy fractional differential equations by fuzzy Laplace transforms
- An analytic algorithm for the space-time fractional advection-dispersion equation
- A fractional porous medium equation
- Fractional dynamics of populations
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
- A new Jacobi operational matrix: an application for solving fractional differential equations
- Modified fractional Euler method for solving fuzzy fractional initial value problem
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Solving fractional diffusion and wave equations by modified homotopy perturbation method
- Numerical studies for a multi-order fractional differential equation
- Recent history of fractional calculus
- On the concept of solution for fractional differential equations with uncertainty
- Numerical methods for fourth-order fractional integro-differential equations
- First order linear fuzzy differential equations under generalized differentiability
- On new solutions of fuzzy differential equations
- A new operational matrix for solving fractional-order differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Analytical solution of a fractional diffusion equation by variational iteration method
- On the fuzzy initial value problem
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractionally coupled solutions of the diffusion equation.
- Fractional-order Legendre functions for solving fractional-order differential equations
- The operational matrix of fractional integration for shifted Chebyshev polynomials
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- The improper fuzzy Riemann integral and its numerical integration
- A fuzzy Lagrange interpolation theorem
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Multi-order fractional differential equations and their numerical solution
- Almost periodic fuzzy-number-valued functions
- The nearest trapezoidal fuzzy number to a fuzzy quantity
- Error estimate in fractional differential equations using multiquadratic radial basis functions
- Fuzzy mathematics: approximation theory
- Solution of a fuzzy system of linear equation
- Solving a multi-order fractional differential equation using Adomian decomposition
- Numerical methods for nonlinear partial differential equations of fractional order
- Numerical approximation of fuzzy functions by fuzzy polynomials
- Solving a system of nonlinear fractional differential equations using Adomian decomposition
- Parameter identification via Laguerre polynomials
- Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis
- Fuzzy differential equations
- Fuzzy linear systems
This page was built for publication: A Jacobi operational matrix for solving a fuzzy linear fractional differential equation