Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense
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Publication:2120464
DOI10.1016/j.chaos.2020.109684zbMath1483.35319arXiv1903.07946OpenAlexW2921381679MaRDI QIDQ2120464
Gulistan Iskenderoglu, Doǧan Kaya
Publication date: 31 March 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07946
Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
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- Lie symmetry analysis of the time fractional KdV-type equation
- Fractional variational iteration method and its application
- Lie symmetries of nonlinear boundary value problems
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- On Riemann-Liouville and Caputo derivatives
- Exact solutions of the \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
- Gravitational field of fractal distribution of particles
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A review of the decomposition method in applied mathematics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Symmetry and integration methods for differential equations
- An application for the higher order modified KdV equation by decomposition method
- Modeling attractors of chaotic dynamical systems with fractal-fractional operators
- Derivation and implicit solution of the Harry Dym equation and its connections with the Korteweg-de Vries equation
- Lie group analysis for initial and boundary value problem of time-fractional nonlinear generalized KdV partial differential equation
- Symmetries and differential equations