[HTML][HTML] Computable generalization of fractional kinetic equation with special functions
The primarily object of this article is to derive the solutions of modified fractional kinetic
equations (MFKEs) containing the incomplete Aleph functions by using the application of …
equations (MFKEs) containing the incomplete Aleph functions by using the application of …
[HTML][HTML] A fractional model of fluid flow through porous media with mean capillary pressure
In this paper, we discuss a fractional model arising in flow of two incompatible liquids
through homogenous porous media with mean capillary pressure. The solution is derived by …
through homogenous porous media with mean capillary pressure. The solution is derived by …
[HTML][HTML] A computational approach for fractional convection-diffusion equation via integral transforms
In this paper, two efficient analytic techniques namely the homotopy analysis transform
method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are …
method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are …
[PDF][PDF] Solution of nonlinear fractional differential equations using the homotopy perturbation Sumudu transform method
EA Yousif, SHM Hamed - Appl. Math. Sci, 2014 - academia.edu
In this paper, we obtain exact analytical solutions of nonlinear fractional differential
equations using a combined form of the Homotopy perturbation method with the Sumudu …
equations using a combined form of the Homotopy perturbation method with the Sumudu …
[HTML][HTML] Numerical simulation of a fractional model of temperature distribution and heat flux in the semi infinite solid
In this paper, a fractional model for the computation of temperature and heat flux distribution
in a semi-infinite solid is discussed which is subjected to spatially decomposing, time …
in a semi-infinite solid is discussed which is subjected to spatially decomposing, time …
Analytic and Approximate Solutions of the Space‐Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method
A combination of homotopy perturbation method and Sumudu transform is applied to find
exact and approximate solution of space and time fractional nonlinear Schrödinger …
exact and approximate solution of space and time fractional nonlinear Schrödinger …
Picard iteration and Padé approximations for stiff fractional point kinetics equations
A model of stiff point kinetics equations is one of the important models in the nuclear reactor
dynamics. This model describes the neutron density and the precursor concentrations of …
dynamics. This model describes the neutron density and the precursor concentrations of …
Analytical solution of fractional differential equations arising in fluid mechanics by using sumudu transform method
The aim of the present paper is to present analytical solution of fractional differential
equations. The fractional derivative is considered in Caputo sense. The results are derived …
equations. The fractional derivative is considered in Caputo sense. The results are derived …
On certain classes of fractional kinetic equations
MJ Luo, RK Raina - Filomat, 2014 - JSTOR
This paper considers certain general forms of fractional kinetic equations and obtains their
solutions. The usefulness of the main results are depicted by deriving certain generalized …
solutions. The usefulness of the main results are depicted by deriving certain generalized …
[PDF][PDF] Generalized elliptic-type integrals and generating functions with aleph-function
VBL Chaurasia, V Gill - General Mathematics Notes, 2013 - emis.de
In view of the great importance and applications of elliptic-type integrals in certain problems
of radiation physics and nuclear technology, in this paper we obtain certain new theorems …
of radiation physics and nuclear technology, in this paper we obtain certain new theorems …