In the recent years, few type of fractional derivatives which have non-local and non-singular
kernel are introduced. In this work, we present fractional rheological models and Newell …

This work suggests a new analytical technique called the fractional homotopy analysis
transform method (FHATM) for solving nonlinear homogeneous and nonhomogeneous time …

This paper introduces an efficient fractional differential transform that is called “conformable
fractional partial differential transform (CFPDT)” and its properties for solving linear and …

The symmetry design of the system contains integer partial differential equations and
fractional-order partial differential equations with fractional derivative. In this paper, we …

The main objective of the present investigation is to find the solution for the fractional model
of Klein-Gordon-Schrödinger system with the aid of q-homotopy analysis transform method …

A user friendly algorithm based on new homotopy perturbation Sumudu transform method
(HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional …

There is considerable literature on solutions to the gas-dynamic equation (GDE) and Fokker–
Planck equation (FPE), where the fractional derivative is expressed in terms of the Caputo …

Further to a recent controversy on whether the differential transformation method (DTM) for
solving a differential equation is purely and solely the traditional Taylor series method, it is …

Du et al.(Sci. Reb. 3, 3431 (2013)) demonstrated that the fractional derivative order can be
physically interpreted as a memory index by fitting the test data of memory phenomena. The …

In this paper we extend and investigate the model of the gas dynamic equation (GDE) to
some new models involving the time-fractional gas dynamic equation (TFGDE) with the …