An operational matrix based on the independence polynomial of a complete bipartite graph for the Caputo fractional derivative
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Publication:2101700
DOI10.1007/s40324-021-00268-9OpenAlexW3200175819MaRDI QIDQ2101700
Publication date: 6 December 2022
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-021-00268-9
complete bipartite graphoperational matrixCaputo fractional derivativeindependence polynomialfractional multi-order equation
Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Cites Work
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- An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
- Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
- Fractional variational iteration method for fractional initial-boundary value problems arising in the application of nonlinear science
- Application of Fibonacci collocation method for solving Volterra-Fredholm integral equations
- Numerical studies for a multi-order fractional differential equation
- Homotopy analysis method for fractional IVPs
- A new approach for the numerical solution for nonlinear Klein-Gordon equation
- Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
- Decomposition method for solving fractional Riccati differential equations
- The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
- A new operational matrix for solving fractional-order differential equations
- Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation
- Fractional-order Legendre functions for solving fractional-order differential equations
- A new Fibonacci type collocation procedure for boundary value problems
- A new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel
- Numerical solution for a class of multi-order fractional differential equations with error correction and convergence analysis
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Long memory processes and fractional integration in econometrics
- Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order
- Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel
- Existence theory and numerical analysis of three species prey-predator model under Mittag-Leffler power law
- Solution for fractional forced KdV equation using fractional natural decomposition method
- On the convergence of a new reliable algorithm for solving multi-order fractional differential equations
- Numerical solutions of systems of high-order Fredholm integro-differential equations using Euler polynomials
- Explicit representation of orthonormal Bernoulli polynomials and its application for solving Volterra-Fredholm-Hammerstein integral equations
- Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations
- Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions
- Convergence of 2D-orthonormal Bernstein collocation method for solving 2D-mixed Volterra-Fredholm integral equations
- Cubic B-spline approximation for linear stochastic integro-differential equation of fractional order
- Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions
- Modified fractional reduced differential transform method for the solution of multiterm time-fractional diffusion equations
- Numerical solution of fractional integro-differential equations by collocation method
- On Solving Linear and Nonlinear Sixth-Order Two PointBoundary Value Problems Via an Elegant HarmonicNumbers Operational Matrix of Derivatives
- SOLUTIONS OF THE CONNECTION PROBLEMS BETWEEN FERMAT AND GENERALIZED FIBONACCI POLYNOMIALS
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Parameters estimation of HIV infection model of CD4+T-cells by applying orthonormal Bernstein collocation method
- Dynamics of a fractional epidemiological model with disease infection in both the populations
- Dynamics of Fractional Holling Type-II Predator-Prey Model with Prey Refuge and Additional Food to Predator
- Analysis of fractional Swift‐Hohenberg equation using a novel computational technique
- An efficient analytical approach for fractional Lakshmanan‐Porsezian‐Daniel model
- Fractional‐order orthogonal Bernstein polynomials for numerical solution of nonlinear fractional partial Volterra integro‐differential equations
- Variational formulation for the stationary fractional advection dispersion equation
- Analysis of fractional differential equations
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