Caputo fractional reduced differential transform method for SEIR epidemic model with fractional order

Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

Computational Method for Fractional-Order Stochastic Delay Differential Equations

Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

A fractional order SEIR model with vertical transmission

In this paper,we introduce a fractional order SEIRmodelwith vertical transmissionwithin a nonconstant population.We show that themodel introduced in this paper has nonnegative solutions. We give a detailed analysis for the asymptotic stability of disease free and positive fixed points. Numerical simulations are also presented to verify the obtained results. © 2011 Elsevier Ltd. All rights reser...

On Quasilinearization Method for Hybrid Caputo Fractional Differential Equations

In this paper we present the methods of Quasilinearization and Generalized Quasilinearization for hybrid Caputo fractional differential equations which are Caputo fractional differential equations with fixed moments of impulse. In order to prove this results we use the weakened assumption of -continuity in place of local Hölder continuity.

Solving System of Fractional Order Partial Differential Equations by the Reduced Differential Transform Method