Browsing Others by Author "Shah, Kamal"
Now showing items 1-9 of 9
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Analytical solution of non-linear fractional order Swift-Hohenberg equations
Alrabaiah, Hussam; Ahmad, Israr; Shah, Kamal; Mahariq, Ibrahim; Ur Rahman, Ghaus (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 ... -
Dynamical analysis of fractional-order tobacco smoking model containing snuffing class
Alrabaiah, Hussam; Zeb, Anwar; Alzahrani, Ebraheem; Shah, Kamal (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 ... -
Existence of fractional order semi analytical results for enzyme kinetics model
Alrabaiah, Hussam; Ali, Amjad; Haq, Fazal; Shah, Kamal (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 ... -
Existence theory and semi-analytical study of non-linear Volterra fractional integro-differential equations
Alrabaiah, Hussam; Jamil, Muhammad; Shah, Kamal; Khan, Rahmat Ali (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 ... -
A new approach to fractional differential equations
Alrabaiah, Hussam; Hussain, Sultan; Awan, Abdul Sami; Zeb, Anwar; Shah, Kamal; Abdeljawad, Thabet (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 ... -
On a SEIR-type model of COVID-19 using piecewise and stochastic differential operators undertaking management strategies
Jeelani, Mdi Begum; Shah, Kamal; Alrabaiah, Hussam; Alnahdi, Abeer S. (American Institute of Mathematical Sciences, 2023)In this work, an epidemic model of a susceptible, exposed, infected and recovered SEIR-type is established for the distinctive dynamic compartments and epidemic characteristics of COVID-19 as it spreads across a population ... -
On coupled system of drug therapy via piecewise equations
Shah, Kamal; Abdeljawad, Thabet; Alrabaiah, Hussam (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 ... -
On existence and stability results for pantograph fractional boundary value problems
Alrabaiah, Hussam; Ali, Gauhar; Ali, Amjad; Shah, Kamal; Abdeljawad, Thabet (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. ... -
Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions
Alrabaiah, Hussam; Ahmad, Israr; Shah, Kamal; Ur Rahman, Ghaus (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 ...