An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

Bifurcations and Exact Solutions for a Class of MKdV Equations with the Conformable Fractional Derivative via Dynamical System Method

(2020) Jianli Liang et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

(2020) Omar Abu Arqub et al.   SOFT COMPUTING

A Unified Analysis of Exact Traveling Wave Solutions for the Fractional-Order and Integer-Order Biswas–Milovic Equation: Via Bifurcation Theory of Dynamical System

(2020) Bei Zhang et al.   Qualitative Theory of Dynamical Systems

New complex waves in nonlinear optics based on the complex Ginzburg-Landau equation with Kerr law nonlinearity

(2019) M. S. Osman et al.   European Physical Journal Plus

One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation

(2019) M. S. Osman   NONLINEAR DYNAMICS

Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications

(2019) Wenjing Zhu et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

(2019) Omar Abu Arqub   FUNDAMENTA INFORMATICAE

Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis

(2019) Omar Abu Arqub   FUNDAMENTA INFORMATICAE

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations

(2019) Omar Abu Arqub et al.   CHAOS SOLITONS & FRACTALS

Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

(2019) Omar Abu Arqub et al.   CHAOS SOLITONS & FRACTALS

An adaptive numerical approach for the solutions of fractional advection–diffusion and dispersion equations in singular case under Riesz’s derivative operator

(2019) Omar Abu Arqub et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Numerical algorithm for time-fractional Sawada-Kotera equation and Ito equation with Bernstein polynomials

(2018) Jiao Wang et al.   APPLIED MATHEMATICS AND COMPUTATION

Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform

(2018) Hayman Thabet et al.   CHAOS SOLITONS & FRACTALS

Simplest equation method for some time-fractional partial differential equations with conformable derivative

(2018) Cheng Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm

(2018) Omar Abu Arqub   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates

(2018) Omar Abu Arqub et al.   NONLINEAR DYNAMICS

Exact solutions of fractional mBBM equation and coupled system of fractional Boussinesq-Burgers

(2018) Shumaila Javeed et al.   Results in Physics

Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

(2018) Omar Abu Arqub   CALCOLO

Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana–Baleanu fractional operator

(2018) Omar Abu Arqub et al.   CHAOS SOLITONS & FRACTALS

Atangana–Baleanu fractional approach to the solutions of Bagley–Torvik and Painlevé equations in Hilbert space

(2018) Omar Abu Arqub et al.   CHAOS SOLITONS & FRACTALS

A new approach for seeking coefficient function solutions of conformable fractional partial differential equations based on the Jacobi elliptic equation

(2018) Qinghua Feng   CHINESE JOURNAL OF PHYSICS

Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates

(2018) Mohammed Al-Smadi et al.   APPLIED MATHEMATICS AND COMPUTATION

Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space

(2017) Omar Abu Arqub   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions

(2017) Omar Abu Arqub et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method

(2017) Yanxin Wang et al.   Advances in Difference Equations

Constructing two powerful methods to solve the Thomas–Fermi equation

(2016) A. Akgül et al.   NONLINEAR DYNAMICS

Nonlinear interaction of solitary waves described by multi-rational wave solutions of the (2  $$+$$ +  1)-dimensional Kadomtsev–Petviashvili equation with variable coefficients

(2016) M. S. Osman   NONLINEAR DYNAMICS

A novel expansion iterative method for solving linear partial differential equations of fractional order

(2015) Ahmad El-Ajou et al.   APPLIED MATHEMATICS AND COMPUTATION

On conformable fractional calculus

(2015) Thabet Abdeljawad   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations

(2015) Omar Abu Arqub et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Approximate analytical solution of the nonlinear fractional KdV–Burgers equation: A new iterative algorithm

(2015) Ahmad El-Ajou et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Solution of coupled Whitham–Broer–Kaup equations using optimal homotopy asymptotic method

(2014) Sirajul Haq et al.   OCEAN ENGINEERING

Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform

(2013) Abdon Atangana et al.   Abstract and Applied Analysis

A reproducing kernel method for solving nonlocal fractional boundary value problems

(2011) Fazhan Geng et al.   APPLIED MATHEMATICS LETTERS

Approximate solution of fractional integro-differential equations by Taylor expansion method

(2011) Li Huang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS