In this review paper, we stress the importance of the higher transcendental Wright functions
of the second kind in the framework of Mathematical Physics. We first start with the analytical …

The main goal of this paper is to present a new approximate series solution of the multi-
dimensional (heat-like) diffusion equation with time-fractional derivative in Caputo form …

In this paper, a family of the multidimensional time-and space-fractional diffusion-wave
equations with the Caputo time-fractional derivative of the order β, 0< β⩽ 2 and the fractional …

This paper presents a mathematical approach to model the effects and the role of
phenomena with random nature such as turbulence and fire-spotting into the existing …

Many nonlinear phenomena, whose numerical simulation is not straightforward, depend on
a set of parameters in a way which is not easy to predict beforehand. Wildland fires in …

This paper deals with implementation of “homotopy perturbation new integral transform
(HPNIT) method" to get an approximate series solution of space-and time fractional (STF)(n+ …

This paper proposes a method to solve a 2D time-fractional parabolic equation on arbitrary
domains using an RBF partition of unity procedure based on a non-uniform time-stepping …

This paper deals with a comparative study of analytical solutions of (n+ 1)-dimensional
space-time fractional hyperbolic-like equations (with Caputo type fractional derivatives) …

In this paper, we investigate the representation of a class of non-Gaussian processes,
namely generalized grey Brownian motion, in terms of a weighted integral of a stochastic …

This work proposes a semi-analytical new hybrid approach, so-called differential 𝕁-
transform method (D 𝕁 TM), to evaluate the behavior of n-space dimensional fractional …