Numerical solution of the multiterm time‐fractional diffusion equation based on reproducing kernel theory

Modeling attractors of chaotic dynamical systems with fractal–fractional operators

(2019) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative

(2019) Ahmad El-Ajou et al.   CHAOS

Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems

(2019) Sunil Kumar et al.   Advances in Difference Equations

Nonlinear Dynamics of Cattaneo–Christov Heat Flux Model for Third-Grade Power-Law Fluid

(2019) Bhuvnesh Sharma et al.   Journal of Computational and Nonlinear Dynamics

Similarities in a fifth-order evolution equation with and with no singular kernel

(2019) Emile F. Doungmo Goufo et al.   CHAOS SOLITONS & FRACTALS

Option pricing using a computational method based on reproducing kernel

(2018) S. Vahdati et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Gauss-Lobatto-Legendre-Birkhoff pseudospectral approximations for the multi-term time fractional diffusion-wave equation with Neumann boundaryconditions

(2018) Haiyu Liu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

(2018) Abdon Atangana   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

(2018) Abdon Atangana et al.   European Physical Journal Plus

Error analysis of reproducing kernel Hilbert space method for solving functional integral equations

(2016) Esmail Babolian et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

THE REPRODUCING KERNEL METHOD FOR SOME VARIATIONAL PROBLEMS DEPENDING ON INDEFINITE INTEGRALS

(2016) Mojtaba Fardi et al.   Mathematical Modelling and Analysis

Solving nonlocal initial-boundary value problems for parabolic and hyperbolic integro-differential equations in reproducing kernel hilbert space

(2016) Mojtaba Fardi et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space

(2015) M. Ghasemi et al.   APPLIED MATHEMATICS AND COMPUTATION

RKM for solving Bratu-type differential equations of fractional order

(2015) Esmail Babolian et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Some temporal second order difference schemes for fractional wave equations

(2015) Hong Sun et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Piecewise reproducing kernel method for singularly perturbed delay initial value problems

(2014) F.Z. Geng et al.   APPLIED MATHEMATICS LETTERS

A REPRODUCING KERNEL METHOD FOR SOLVING A CLASS OF NONLINEAR SYSTEMS OF PDES

(2014) Maryam Mohammadi et al.   Mathematical Modelling and Analysis

High-order difference scheme for the solution of linear time fractional klein-gordon equations

(2014) Akbar Mohebbi et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Anti-periodic solutions for Rayleigh-type equations via the reproducing kernel Hilbert space method

(2009) Wei Jiang et al.   Communications in Nonlinear Science and Numerical Simulation

Numerical algorithm for parabolic problems with non-classical conditions

(2009) Yongfang Zhou et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Solving nonlinear fractional partial differential equations using the homotopy analysis method

(2009) Mehdi Dehghan et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS