Fractional complex transform and exp-function methods for fractional differential equations
From MaRDI portal
Publication:2015534
DOI10.1155/2013/426462zbMath1298.34008OpenAlexW2004537050WikidataQ58916270 ScholiaQ58916270MaRDI QIDQ2015534
Ahmet Bekir, Adem C. Cevikel, Özkan Güner
Publication date: 23 June 2014
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/426462
Explicit solutions, first integrals of ordinary differential equations (34A05) Fractional ordinary differential equations (34A08)
Related Items (51)
New approach to find exact solutions of time-fractional Kuramoto-Sivashinsky equation ⋮ Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques \((G^{\prime} / G)\)-expansion method and improved \((G^{\prime} / G)\)-expansion method ⋮ New approach for exact solutions of time fractional Cahn-Allen equation and time fractional phi-4 equation ⋮ Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation ⋮ Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method ⋮ The first integral method for the time fractional Kaup-Boussinesq system with time dependent coefficient ⋮ Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis ⋮ On the concept of exact solution for nonlinear differential equations of fractional-order ⋮ New solitary wave solutions of time-fractional coupled Jaulent-Miodek equation by using two reliable methods ⋮ Auxiliary equation method for fractional differential equations with modified Riemann-Liouville derivative ⋮ Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods ⋮ Oscillatory Criteria for Some non Conformable Differential Equation with Damping ⋮ The modified extended tanh method with the Riccati equation for solving the space-time fractional EW and MEW equations ⋮ The modified exponential function method for beta time fractional Biswas-Arshed equation ⋮ A new method for exact solutions of variant types of time-fractional Korteweg-de Vries equations in shallow water waves ⋮ Improved fractional subequation method and exact solutions to fractional partial differential equations ⋮ Bright and singular soliton solutions of the conformable time-fractional Klein–Gordon equations with different nonlinearities ⋮ Compatible Energy Dissipation of the Variable-Step \({\boldsymbol{L1}}\) Scheme for the Space-Time Fractional Cahn-Hilliard Equation ⋮ New exact solutions of the space-time fractional cubic Schrodinger equation using the new type F-expansion method ⋮ Lie symmetry analysis, explicit solutions and conservation laws for the time fractional Kolmogorov–Petrovskii–Piskunov equation ⋮ Homotopy Analysis Method and Time-fractional NLSE with Double Cosine, Morse, and New Hyperbolic Potential Traps ⋮ A novel method for nonlinear fractional differential equations using symbolic computation ⋮ Exact Solution of Space-Time Fractional Coupled EW and Coupled MEW Equations Using Modified Kudryashov Method ⋮ Invariant analysis with conservation laws for the time fractional Drinfeld-Sokolov-Satsuma-Hirota equations ⋮ Collocation-based numerical simulation of fractional order Allen-Cahn equation ⋮ New double-periodic solutions of fractional Drinfeld-Sokolov-Wilson equation in shallow water waves ⋮ Using the decomposition method to solve the fractional order temperature distribution equation: A new approach ⋮ APPLICATIONS OF FRACTIONAL COMPLEX TRANSFORM AND (G'/G)-EXPANSION METHOD FOR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Invariance properties, conservation laws, and soliton solutions of the time-fractional \((2+1)\)-dimensional new coupled ZK system in magnetized dusty plasmas ⋮ Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \)-expansion method ⋮ A novel approach for stochastic solutions of wick-type stochastic time-fractional Benjamin–Bona–Mahony equation for modeling long surface gravity waves of small amplitude ⋮ Exact solutions of fractional Burgers and Cahn-Hilliard equations using extended fractional Riccati expansion method ⋮ Research on time-space fractional model for gravity waves in baroclinic atmosphere ⋮ Generalized Kudryashov method for time-fractional differential equations ⋮ Exact solutions of the space time fractional symmetric regularized long wave equation using different methods ⋮ CLOSED FORM SOLUTIONS FOR NONLINEAR BIOLOGICAL POPULATION MODEL ⋮ On the solitary wave solution of fractional Kudryashov-Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles ⋮ Exact Solutions for Fractional Differential-Difference Equations by (G'/G)-Expansion Method with Modified Riemann-Liouville Derivative ⋮ Mechanical solving a few fractional partial differential equations and discussing the effects of the fractional order ⋮ A table lookup method for exact analytical solutions of nonlinear fractional partial differential equations ⋮ Time fractional (2+1)-dimensional Wu-Zhang system: dispersion analysis, similarity reductions, conservation laws, and exact solutions ⋮ Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs ⋮ Exact solutions of some fractional differential equations arising in mathematical biology ⋮ Soliton solutions for the time fractional Hamiltonian system by various approaches ⋮ Exact solutions of some systems of fractional differential-difference equations ⋮ Study on fractional differential equations with modified Riemann-Liouville derivative via Kudryashov method ⋮ Numerical soliton solutions of fractional (2 + 1)-dimensional Nizhnik–Novikov–Veselov equations in nonlinear optics ⋮ Dispersion analysis and improved F-expansion method for space-time fractional differential equations ⋮ Exact solutions of the space-time fractional bidirectional wave equations using the \((G' / G)\)-expansion method ⋮ New soliton and periodic wave solutions to the fractional DGH equation describing water waves in a shallow regime ⋮ A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- The first integral method for some time fractional differential equations
- New analytic solutions of stochastic coupled KdV equations
- Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
- Fractional complex transform for fractional differential equations
- Application of Exp-function method for nonlinear evolution equations with variable coefficients
- The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
- Exp-function method for nonlinear wave equations
- Application of exp-function method to high-dimensional nonlinear evolution equation
- New solitons and periodic solutions for nonlinear physical models in mathematical physics
- Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
- Fractional complex transforms for fractional differential equations
- A conservative difference scheme for the viscous Cahn--Hilliard equation with a nonconstant gradient energy coefficient
- Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
- The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
- Fractional subequation method for Cahn-Hilliard and Klein-Gordon equations
- Application of the exp-function method for nonlinear differential-difference equations
- A numerical method for the Cahn-Hilliard equation with a variable mobility
- Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
- A generalized fractional sub-equation method for fractional differential equations with variable coefficients
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- New periodic solutions for nonlinear evolution equations using Exp-function method
- Exact Solutions of Fractional-Order Biological Population Model
- ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
This page was built for publication: Fractional complex transform and exp-function methods for fractional differential equations