First integral method for non-linear differential equations with conformable derivative
From MaRDI portal
Publication:4615567
DOI10.1051/mmnp/2018012zbMath1458.35463OpenAlexW2788479621MaRDI QIDQ4615567
Huitzilin Yépez-Martínez, José Francisco Gómez-Aguilar, Abdon Atangana
Publication date: 29 January 2019
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2018012
Related Items (19)
CONFORMABLE DERIVATIVES IN VISCOUS FLOW DESCRIBING FLUID THROUGH POROUS MEDIUM WITH VARIABLE PERMEABILITY ⋮ Ostrowski type inequalities via new fractional conformable integrals ⋮ Regarding on the results for the fractional clannish random Walker's parabolic equation and the nonlinear fractional Cahn-Allen equation ⋮ A plentiful supply of soliton solutions for DNA Peyrard–Bishop equation by means of a new auxiliary equation strategy ⋮ Generalized exponential rational function for distinct types solutions to the conformable resonant Schrödinger’s equation ⋮ A modification to the first integral method and its applications ⋮ Synchronization in fixed/preassigned-time of delayed fully quaternion-valued memristive neural networks via non-separation method ⋮ The modified exponential function method for beta time fractional Biswas-Arshed equation ⋮ A robust stability criterion on the time-conformable fractional heat equation in a axisymmetric cylinder ⋮ A new version of the generalized F-expansion method for the fractional Biswas-Arshed equation and Boussinesq equation with the beta-derivative ⋮ \(N\)-solitons, Kink and periodic wave solutions for \((3 + 1)\)-dimensional Hirota bilinear equation using three distinct techniques ⋮ Some traveling wave solutions to the generalized (3 + 1)‐dimensional Korteweg–de Vries–Zakharov–Kuznetsov equation in plasma physics ⋮ Unnamed Item ⋮ New exact traveling wave solutions of the time fractional complex Ginzburg-Landau equation via the conformable fractional derivative ⋮ Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph ⋮ Numerical patterns in reaction-diffusion system with the Caputo and Atangana-Baleanu fractional derivatives ⋮ The M-fractional improved perturbed nonlinear Schrödinger equation: Optical solitons and modulation instability analysis ⋮ Traveling wave solutions in closed form for some nonlinear fractional evolution equations related to conformable fractional derivative ⋮ Further fresh and general traveling wave solutions to some fractional order nonlinear evolution equations in mathematical physics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An algorithm based on the variational iteration technique for the Bratu-type and the Lane-Emden problems
- New properties of conformable derivative
- The first integral method for Wu-Zhang system with conformable time-fractional derivative
- A note on fractional order derivatives and table of fractional derivatives of some special functions
- The first integral method for some time fractional differential equations
- On conformable fractional calculus
- Fractional Newton mechanics with conformable fractional derivative
- Homotopy perturbation method to space-time fractional solidification in a finite slab
- New solitonary solutions for the MBBM equations using Exp-function method
- Exact solutions of the nonlinear Schrödinger equation by the first integral method
- Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems
- Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Cauchy problem for the Ostrovsky equation
- Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel
- Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
- Wavelet operational matrix method for solving fractional differential equations with variable coefficients
- Analysis of an El Nino-Southern Oscillation model with a new fractional derivative
- On the solution of local fractional differential equations using local fractional Laplace variational iteration method
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- A new definition of fractional derivative
- An efficient analytical technique for fractional model of vibration equation
- A hybrid computational approach for Klein-Gordon equations on Cantor sets
- Convergent optimal variational iteration method and applications to heat and fluid flow problems
- The first-integral method to study the Burgers–Korteweg–de Vries equation
- New exact solutions of Burgers’ type equations with conformable derivative
- On explicit exact solutions to the compound Burgers-KdV equation
This page was built for publication: First integral method for non-linear differential equations with conformable derivative