Abstract
In this work, the Kudryashov method is handled to find exact solutions of nonlinear fractional partial differential equations in the sense of the modified Riemann–Liouville derivative as given by Guy Jumarie. Firstly, these fractional equations can be turned into another nonlinear ordinary differential equations by fractional complex transformation. Then, the method is applied to solve the space-time fractional Symmetric Regularized Long Wave equation and the space-time fractional generalized Hirota–Satsuma coupled KdV equation. The obtained solutions include generalized hyperbolic functions solutions.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Study on Fractional Differential Equations with Modified Riemann–Liouville Derivative via Kudryashov Method
- Marangoni Convection Flow Along a Wavy Surface with Non-Linear Radiation
- An Efficient Algorithm Based on Extrapolation for the Solution of Nonlinear Parabolic Equations
- A Highly Accurate Collocation Method for Linear and Nonlinear Vibration Problems of Multi-Degree-Of-Freedom Systems Based on Barycentric Interpolation
- General Decay Synchronization for Fuzzy Cellular Neural Networks with Time-Varying Delays
- An Input Shaping Control Scheme with Application on Overhead Cranes
- Global Stability of Nonlinear Feedback Systems with Positive Linear Parts
- Amplitude Incremental Method: A Novel Approach to Capture Stable and Unstable Solutions of Harmonically Excited Vibration Response of Functionally Graded Beams under Large Amplitude Motion
- Monotone Iterative Technique for Periodic Boundary Value Problem of Fractional Differential Equation in Banach Spaces
- Non-linear Frequency Response and Stability Analysis of Piezoelectric Nanoresonator Subjected to Electrostatic Excitation
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Study on Fractional Differential Equations with Modified Riemann–Liouville Derivative via Kudryashov Method
- Marangoni Convection Flow Along a Wavy Surface with Non-Linear Radiation
- An Efficient Algorithm Based on Extrapolation for the Solution of Nonlinear Parabolic Equations
- A Highly Accurate Collocation Method for Linear and Nonlinear Vibration Problems of Multi-Degree-Of-Freedom Systems Based on Barycentric Interpolation
- General Decay Synchronization for Fuzzy Cellular Neural Networks with Time-Varying Delays
- An Input Shaping Control Scheme with Application on Overhead Cranes
- Global Stability of Nonlinear Feedback Systems with Positive Linear Parts
- Amplitude Incremental Method: A Novel Approach to Capture Stable and Unstable Solutions of Harmonically Excited Vibration Response of Functionally Graded Beams under Large Amplitude Motion
- Monotone Iterative Technique for Periodic Boundary Value Problem of Fractional Differential Equation in Banach Spaces
- Non-linear Frequency Response and Stability Analysis of Piezoelectric Nanoresonator Subjected to Electrostatic Excitation