Abstract
In this article, we develop an effective numerical method to achieve the numerical solutions of nonlinear fractional Riccati differential equations. We found the operational matrix within the linear B-spline functions. By this technique, the given problem converts to a system of algebraic equations. This technique is used to solve fractional Riccati differential equation. The obtained results are illustrated both applicability and validity of the suggested approach.
References
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© 2015 Diogenes Co., Sofia
Artikel in diesem Heft
- Contents
- Fcaa Related News, Events and Books (Fcaa–Volume 18–2–2015)
- New Results from Old Investigation: A Note on Fractional M-Dimensional Differential Operators. The Fractional Laplacian
- Pollutant Reduction of a Turbocharged Diesel Engine Using a Decentralized Mimo Crone Controller
- Experimental Implications of Bochner-Levy-Riesz Diffusion
- Fractional Diffusion on Bounded Domains
- On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
- A Numerical Approach for Fractional Order Riccati Differential Equation Using B-Spline Operational Matrix
- Solving Fractional Delay Differential Equations: A New Approach
- Formal Consistency Versus Actual Convergence Rates of Difference Schemes for Fractional-Derivative Boundary Value Problems
- Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case
- Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus
- Fractional Approach for Estimating Sap Velocity in Trees
- Fractional Calculus: Quo Vadimus? (Where are we Going?)
Artikel in diesem Heft
- Contents
- Fcaa Related News, Events and Books (Fcaa–Volume 18–2–2015)
- New Results from Old Investigation: A Note on Fractional M-Dimensional Differential Operators. The Fractional Laplacian
- Pollutant Reduction of a Turbocharged Diesel Engine Using a Decentralized Mimo Crone Controller
- Experimental Implications of Bochner-Levy-Riesz Diffusion
- Fractional Diffusion on Bounded Domains
- On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
- A Numerical Approach for Fractional Order Riccati Differential Equation Using B-Spline Operational Matrix
- Solving Fractional Delay Differential Equations: A New Approach
- Formal Consistency Versus Actual Convergence Rates of Difference Schemes for Fractional-Derivative Boundary Value Problems
- Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case
- Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus
- Fractional Approach for Estimating Sap Velocity in Trees
- Fractional Calculus: Quo Vadimus? (Where are we Going?)