On the fractional signals and systems
A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control
Since the first case of 2019 novel coronavirus disease (COVID-19) detected on 30 January,
2020, in India, the number of cases rapidly increased to 3819 cases including 106 deaths as …
2020, in India, the number of cases rapidly increased to 3819 cases including 106 deaths as …
On Solutions of Fractional‐Order Gas Dynamics Equation by Effective Techniques
In this work, the novel iterative transformation technique and homotopy perturbation
transformation technique are used to calculate the fractional‐order gas dynamics equation …
transformation technique are used to calculate the fractional‐order gas dynamics equation …
Numerical investigation of fractional-order Swift–Hohenberg equations via a Novel transform
In this paper, the Elzaki transform decomposition method is implemented to solve the time-
fractional Swift–Hohenberg equations. The presented model is related to the temperature …
fractional Swift–Hohenberg equations. The presented model is related to the temperature …
A Comparative Analysis of the Fractional‐Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law
This article applies efficient methods, namely, modified decomposition method and new
iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries …
iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries …
Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations
This manuscript deals with fractional differential equations including Caputo–Fabrizio
differential operator. The conditions for existence and uniqueness of solutions of fractional …
differential operator. The conditions for existence and uniqueness of solutions of fractional …
An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method
This article offers a well-organized and novel algorithm for solving time-fractional Fornberg–
Whitham, Klein–Gordon equation and biological population models occurring from physics …
Whitham, Klein–Gordon equation and biological population models occurring from physics …
Analysis of optical solitons for nonlinear Schrödinger equation with detuning term by iterative transform method
In this article, the iteration transform method is used to evaluate the solution of a fractional-
order dark optical soliton, bright optical soliton, and periodic solution of the nonlinear …
order dark optical soliton, bright optical soliton, and periodic solution of the nonlinear …
Exact solutions of nonlinear partial differential equations via the new double integral transform combined with iterative method
This article demonstrates how the new Double Laplace–Sumudu transform (DLST) is
successfully implemented in combination with the iterative method to obtain the exact …
successfully implemented in combination with the iterative method to obtain the exact …
Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform
In this present investigation, we proposed a reliable and new algorithm for solving time‐
fractional differential models arising from physics and engineering. This algorithm employs …
fractional differential models arising from physics and engineering. This algorithm employs …