A finite difference scheme for the nonlinear time‐fractional partial integro‐differential equation

Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives

(2019) Mehdi Dehghan et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

New features of the fractional Euler-Lagrange equations for a physical system within non-singular derivative operator

(2019) Dumitru Baleanu et al.   European Physical Journal Plus

An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel

(2019) Leijie Qiao et al.   APPLIED MATHEMATICS AND COMPUTATION

A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence

(2019) Amin Jajarmi et al.   CHAOS

A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator

(2019) D. Baleanu et al.   CHAOS

A new fractional modelling and control strategy for the outbreak of dengue fever

(2019) Amin Jajarmi et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation

(2018) Mojtaba Hajipour et al.   APPLIED MATHEMATICS AND COMPUTATION

Compact Alternating Direction Implicit Scheme for Integro-Differential Equations of Parabolic Type

(2018) Leijie Qiao et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation

(2018) Mehdi Dehghan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel

(2017) Akbar Mohebbi   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On the accurate discretization of a highly nonlinear boundary value problem

(2017) Mojtaba Hajipour et al.   NUMERICAL ALGORITHMS

A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation

(2017) Hongbin Chen et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

(2016) Chunwan Lv et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A compact difference scheme for a partial integro-differential equation with a weakly singular kernel

(2015) Man Luo et al.   APPLIED MATHEMATICAL MODELLING

A second-order BDF compact difference scheme for fractional-order Volterra equation

(2015) Hongbin Chen et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term

(2015) Morrakot Khebchareon et al.   JOURNAL OF SCIENTIFIC COMPUTING

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

(2013) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Quasi wavelet based numerical method for a class of partial integro-differential equation

(2012) Wenting Long et al.   APPLIED MATHEMATICS AND COMPUTATION

Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation

(2012) Limei Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method

(2011) Jincun Liu et al.   APPLIED MATHEMATICS AND COMPUTATION

Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

(2009) F. Liu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS