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Analytical solution of non-linear fractional order Swift-Hohenberg equations
(Ain Shams University, 2021)
In this paper, we find approximate analytical solutions to fractional order “Swift-Hohenberg equations” by using Laplace Adomian decomposition method (LADM). With the help of the this method, we investigate various types ...
Existence theory and semi-analytical study of non-linear Volterra fractional integro-differential equations
(Elsevier B.V., 2020)
In this article, we investigate the semi-analytic solutions of non-linear Volterra fractional integro-differential equations by using Laplace Adomian decomposition method. We discuss the method in general and provide ...
Existence of fractional order semi analytical results for enzyme kinetics model
(Springer, 2020)
This research work investigates the existence of semianalytical solutions of a chemical kinematics model. We develop the conditions for the existence of the solutions for a proposed enzyme kinetics model, via tools of the ...
Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions
(Springer, 2020)
In this research article, we develop a qualitative analysis to a class of nonlinear coupled system of fractional delay differential equations (FDDEs). Under the integral boundary conditions, existence and uniqueness for ...
Dynamical analysis of fractional-order tobacco smoking model containing snuffing class
(Elsevier, 2021)
The current pandemic situation caused by COVID-19 has affected human life globally at the economic, social and mental health levels. Specifically, tension has led an increasing number of people to the consumption ...
Computation of solution to fractional order partial reaction diffusion equations
(Elsevier B.V., 2020)
In this article, the considered problem of Cauchy reaction diffusion equation of fractional order is solved by using integral transform of Laplace coupled with decomposition technique due to Adomian scheme. This combination ...
Mathematical analysis of COVID-19 via new mathematical model
(Elsevier Ltd., 2021)
We develop a new mathematical model by including the resistive class together with quarantine class and use it to investigate the transmission dynamics of the novel corona virus disease (COVID-19). Our developed model ...
On existence and stability results for pantograph fractional boundary value problems
(World Scientific, 2022)
In this paper, we investigated some essential provisions for the existence and stability of the solution to integral boundary value problems with proportional delay of fractional order Atangana-Baleanu-Caputo (ABC) derivative. ...
On coupled system of drug therapy via piecewise equations
(World Scientific, 2022)
This paper is devoted to establish some theoretical and computational results for a coupled system of drug therapy process. The considered problem is investigated by using the concept of piecewise modeling. We apply piecewise ...
A new approach to fractional differential equations
(Serbian Society of Heat Transfer Engineers, 2023)
In this work, we define fractional derivative of order ς > 0, with no restrictions on the domain of the function, and give its geometry. We derive some rules and properties for the proposed new approach and show that if ...