Numerical investigation of ordinary and partial differential equations with variable fractional order by Bernstein operational matrix
DOI10.1007/s40819-022-01475-2OpenAlexW4307028169WikidataQ115371831 ScholiaQ115371831MaRDI QIDQ2101367
Amir Hosein Taleshian, Mohsen Alipour, Dumitru Baleanu, Azizollah Babakhani
Publication date: 5 December 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-022-01475-2
Bernstein polynomialsoperational matrixRiemann-Liouville fractional derivative and integralvariable order fractional differential equationspartial differential equation problemssystem of nonlinear differential equations problems
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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Cites Work
- Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
- Fractional integration and differentiation of variable order: an overview
- Numerical solution of multiterm fractional differential equations using the matrix Mittag-Leffler functions
- Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks
- Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order
- Solving differential equations of fractional order using an optimization technique based on training artificial neural network
- Approximate analytical solution for nonlinear system of fractional differential equations by BPS operational matrices
- Piecewise Picard iteration method for solving nonlinear fractional differential equation with proportional delays
- The Bernstein operational matrices for solving the fractional quadratic Riccati differential equations with the Riemann-Liouville derivative
- Some further results of the Laplace transform for variable-order fractional difference equations
- Collocation methods for terminal value problems of tempered fractional differential equations
- Collocation methods for fractional differential equations involving non-singular kernel
- On an accurate discretization of a variable-order fractional reaction-diffusion equation
- Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods
- Conformable Laplace transform of fractional differential equations
- Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
- An efficient cubic spline approximation for variable-order fractional differential equations with time delay
- Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
- Computational method based on Bernstein operational matrices for multi-order fractional differential equations
- Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
- New numerical approach for fractional differential equations
- Electro-spunorganic Nanofibers Elaboration Process Investigations Using BPs Operational Matrices
- Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives
- On solutions of variable-order fractional differential equations