An analytical approach to obtain exact solutions of some space-time conformable fractional differential equations

DOI10.1186/s13662-019-2349-0zbMath1487.35406OpenAlexW2979353986WikidataQ127105284 ScholiaQ127105284MaRDI QIDQ2141947

Nematollah Kadkhoda, Hossein Jafari

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2349-0

zbMATH Keywords

conformable derivativeDuffing modelsine-Gordon expansion methodspace-time fractional Eckhaus equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items

QUALITATIVE ANALYSIS OF IMPLICIT DELAY MITTAG-LEFFLER-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS, Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation, Fractional isospectral and non-isospectral AKNS hierarchies and their analytic methods for \(N\)-fractal solutions with Mittag-Leffler functions, Solution of Blasius equation concerning with Mohand transform, Fractional variational problems on conformable calculus, Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method, ON NUMERICAL AND THEORETICAL FINDINGS FOR FRACTAL-FRACTIONAL ORDER GENERALIZED DYNAMICAL SYSTEM, ADAPTED HOMOTOPY PERTURBATION METHOD WITH SHEHU TRANSFORM FOR SOLVING CONFORMABLE FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, Unnamed Item, Laplace decomposition for solving nonlinear system of fractional order partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The first-integral method applied to the Eckhaus equation
• The first integral method for some time fractional differential equations
• Adomian decomposition method for solving fractional nonlinear differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator
• Local existence for an impulsive fractional neutral integro-differential system with Riemann-Liouville fractional derivatives in a Banach space
• Homotopy perturbation pade technique for solving fractional Riccati differential equations
• Exact solutions of \(\phi^4\) equation using Lie symmetry approach along with the simplest equation and exp-function methods
• Fractional subequation method for Cahn-Hilliard and Klein-Gordon equations
• A reliable technique for fractional modified Boussinesq and approximate long wave equations
• Stationary wave solutions for new developed two-waves' fifth-order Korteweg-de Vries equation
• Some inequalities of Čebyšev type for conformable \(k\)-fractional integral operators
• Some new inequalities of the Grüss type for conformable fractional integrals
• Analytical solution for the time-fractional telegraph equation by the method of separating variables
• Simplest equation method to look for exact solutions of nonlinear differential equations
• On a three step crisis integro-differential equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Solving nonlinear fractional partial differential equations using the homotopy analysis method
• Kudryashov method for exact solutions of isothermal magnetostatic atmospheres