An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma
In this paper, we present a coupling of homotopy perturbation technique and sumudu
transform known as homotopy perturbation sumudu transform method (HPSTM). We show …
transform known as homotopy perturbation sumudu transform method (HPSTM). We show …
A computational study of fractional model of atmospheric dynamics of carbon dioxide gas
In this paper, a fractional order nonlinear mathematical model describing the dynamics of
atmospheric concentration of CO 2 is investigated and studied through the application of a …
atmospheric concentration of CO 2 is investigated and studied through the application of a …
Applications of fractional calculus to thermodynamics analysis of hydromagnetic convection in a channel
The present analysis signifies the impacts of fraction calculus on the MHD analysis of an
incompressible fluid flow with entropy generation, viscous dissipation, and joule heating …
incompressible fluid flow with entropy generation, viscous dissipation, and joule heating …
Optical solitons for the Calogero-Bogoyavlenskii-Schiff equation in (2+ 1) dimensions with time-fractional conformable derivative
Z Hammouch, T Mekkaoui, P Agarwal - The European Physical Journal …, 2018 - Springer
In this article, we construct new explicit solutions for a time-fractional nonlinear Calogero-
Bogoyavlenskii-Schiff equation in (2+1) (2+ 1) dimensions with conformable derivative with …
Bogoyavlenskii-Schiff equation in (2+1) (2+ 1) dimensions with conformable derivative with …
Fractional variational iteration method for solving fractional partial differential equations with proportional delay
This paper deals with an alternative approximate analytic solution to time fractional partial
differential equations (TFPDEs) with proportional delay, obtained by using fractional …
differential equations (TFPDEs) with proportional delay, obtained by using fractional …
Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
The main aim of this work is to present a user friendly numerical algorithm based on
homotopy perturbation Sumudu transform method for nonlinear fractional partial differential …
homotopy perturbation Sumudu transform method for nonlinear fractional partial differential …
Homotopy Perturbation Method for Fractional Black‐Scholes European Option Pricing Equations Using Sumudu Transform
The homotopy perturbation method, Sumudu transform, and He's polynomials are combined
to obtain the solution of fractional Black‐Scholes equation. The fractional derivative is …
to obtain the solution of fractional Black‐Scholes equation. The fractional derivative is …
A robust computational analysis of residual power series involving general transform to solve fractional differential equations
In this paper, we provide a new semi-analytical approach, General Residual Power Series
Method (GRPSM), to solve fractional differential equations (FDEs). This technique is simple …
Method (GRPSM), to solve fractional differential equations (FDEs). This technique is simple …
An analytical study of physical models with inherited temporal and spatial memory
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 …
physically interpreted as a memory index by fitting the test data of memory phenomena. The …
Semi-computational simulation of magneto-hemodynamic flow in a semi-porous channel using optimal homotopy and differential transform methods
In this paper, the semi-numerical techniques known as the optimal homotopy analysis
method (HAM) and Differential Transform Method (DTM) are applied to study the magneto …
method (HAM) and Differential Transform Method (DTM) are applied to study the magneto …