Fractional calculus, which has two main features—singularity and nonlocality from its origin—
means integration and differentiation of any positive real order or even complex order. It has …

The main objective in this paper is to propose an efficient numerical formulation for solving
the time-fractional distributed-order advection–diffusion equation. First, the distributed-order …

The fractal mobile/immobile model of the solute transport is based on the assumption that
the waiting times in the immobile region follow a power-law, and this leads to the application …

In this manuscript, we present a radial basis function based local collocation method for
solving time fractional diffusion-wave equation. The advantage of the local collocation …

Abstract The time fractional Klein–Kramers model (TFKKM) is obtained by incorporating the
subdiffusive mechanisms into the Klein–Kramers formalism. The TFKKM can efficiently …

The fuzzy fractional differential equation explains more complex real-world phenomena than
the fractional differential equation does. Therefore, numerous techniques have been timely …

In this work, a stabilized local radial basis function (RBF) collocation method (LRBFCM) is
proposed to solve the incompressible Navier–Stokes equations. An improved back ground …

In this paper, the meshless local Petrov Galerkin (MLPG) method is employed to analyze
convection–diffusion-reaction equation based on radial basis function (RBF) collocation …

In this paper, a local compact integrated radial basis function (CIRBF) method is proposed to
solve the time fractional convection–diffusion–reaction equations. The proposed CIRBF …

A collocation method with space–time radial polynomials for solving two–dimensional
inverse heat conduction problems (IHCPs) is presented. The space–time radial polynomial …