Exact solutions to the fractional differential equations with mixed partial derivatives
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Publication:2305829
DOI10.3390/axioms7010010zbMath1432.35222OpenAlexW2789493608MaRDI QIDQ2305829
Yuqiang Feng, Shougui Li, Jun Jiang
Publication date: 20 March 2020
Published in: Axioms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/axioms7010010
Laplace transform methodCaputo fractional derivativeinvariant subspace methodthe fractional partial differential equation
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Cites Work
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- Construction of exact solutions for fractional order differential equations by the invariant subspace method
- Operational solution for some types of second order differential equations and for relevant physical problems
- Exact solution of certain time fractional nonlinear partial differential equations
- Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
- Adomian decomposition: a tool for solving a system of fractional differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- On fractional calculus of \(\mathcal A_{2n+1}(x)\) function
- Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
- Approximate analytical solution of two coupled time fractional nonlinear Schrödinger equations
- Invariant subspace method: a tool for solving fractional partial differential equations
- Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method
- New Exact Solutions of Time Fractional Gardner Equation by Using New Version of F -Expansion Method
- On M-Wright transforms and time-fractional diffusion equations
- Nonlinear time-fractional dispersive equations
- Analytic solutions for singular integral equations and non-homogeneous fractional PDE
- Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
- Invariant Linear Spaces and Exact Solutions of Nonlinear Evolution Equations
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