Approximate analytical solution for nonlinear system of fractional differential equations by BPS operational matrices
DOI10.1155/2013/954015zbMath1273.34004OpenAlexW2105277762WikidataQ58918909 ScholiaQ58918909MaRDI QIDQ1953190
Mohsen Alipour, Dumitru Baleanu
Publication date: 7 June 2013
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/954015
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)
Related Items (10)
Cites Work
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- Transient chaos in fractional Bloch equations
- Homotopy perturbation method for nonlinear partial differential equations of fractional order
- Adomian decomposition: a tool for solving a system of fractional differential equations
- A note on the fractional-order Chen system
- An iterative method for solving nonlinear functional equations
- The decomposition method for initial value problems
- The homotopy analysis method for handling systems of fractional differential equations
- An existence result for a superlinear fractional differential equation
- Numerical approach to differential equations of fractional order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical solutions for systems of fractional differential equations by the decomposition method
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- On the fractional Hamilton and Lagrange mechanics
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- Bernstein polynomials for solving fractional heat- and wave-like equations
- Numerical comparison of methods for solving linear differential equations of fractional order
- Solving systems of fractional differential equations using differential transform method
- Chaotic dynamics and synchronization of fractional-order Arneodo's systems
- Synchronization of two coupled fractional-order chaotic oscillators
- The decomposition method for Cauchy advection-diffusion problems
- Solving a system of nonlinear fractional differential equations using Adomian decomposition
- Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
- Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
- On the solution set for a class of sequential fractional differential equations
- A NONSTANDARD FINITE DIFFERENCE SCHEME FOR TWO-SIDED SPACE-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
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