Analysis of rubella disease model with non-local and non-singular fractional derivatives
I Koca - An International Journal of Optimization and Control …, 2018 - ijocta.org
In this paper we investigate a possible applicability of the newly established fractional
differentiation in the field of epidemiology. To do this we extend the model describing the …
differentiation in the field of epidemiology. To do this we extend the model describing the …
Observation and sliding mode observer for nonlinear fractional-order system with unknown input
The main purpose of this paper is twofold. First, the observability and the left invertibility
properties and the observable canonical form for nonlinear fractional-order systems are …
properties and the observable canonical form for nonlinear fractional-order systems are …
Dynamical analysis of fractional order model for computer virus propagation with kill signals
The kill signals are alert about possible viruses that infect computer network to decrease the
danger of virus propagation. In this work, we focus on a fractional-order SEIR-KS model in …
danger of virus propagation. In this work, we focus on a fractional-order SEIR-KS model in …
A novel numerical approach for a nonlinear fractional dynamical model of interpersonal and romantic relationships
In this paper, we propose a new numerical algorithm, namely q-homotopy analysis Sumudu
transform method (q-HASTM), to obtain the approximate solution for the nonlinear fractional …
transform method (q-HASTM), to obtain the approximate solution for the nonlinear fractional …
RETRACTED ARTICLE: Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus
A Atangana - The European Physical Journal Plus, 2016 - Springer
In order to describe more complex problems using the concept of fractional derivatives, we
introduce in this paper the concept of fractional derivatives with orders. The new definitions …
introduce in this paper the concept of fractional derivatives with orders. The new definitions …
On the solution of an imprecisely defined nonlinear time-fractional dynamical model of marriage
The present paper investigates the numerical solution of an imprecisely defined nonlinear
coupled time-fractional dynamical model of marriage (FDMM). Uncertainties are assumed to …
coupled time-fractional dynamical model of marriage (FDMM). Uncertainties are assumed to …
Extension of the fractional derivative operator of the Riemann-Liouville
By using the generalized beta function, we extend the fractional derivative operator of the
Riemann-Liouville and discusses its properties. Moreover, we establish some relations to …
Riemann-Liouville and discusses its properties. Moreover, we establish some relations to …
Numerical simulations to the nonlinear model of interpersonal relationships with time fractional derivative
MT Gencoglu, HM Baskonus, H Bulut - AIP Conference Proceedings, 2017 - pubs.aip.org
The main aim of this manuscript is to obtain numerical solutions for the nonlinear model of
interpersonal relationships with time fractional derivative. The variational iteration method is …
interpersonal relationships with time fractional derivative. The variational iteration method is …
Theoretical and numerical analysis of a chaotic model with nonlocal and stochastic differential operators
I Koca, A Atangana - 2023 - acikerisim.mu.edu.tr
A set of nonlinear ordinary differential equations has been considered in this paper. The
work tries to establish some theoretical and analytical insights when the usual time …
work tries to establish some theoretical and analytical insights when the usual time …
[图书][B] Modeling love dynamics
This book shows, for the very first time, how love stories—a vital issue in our lives—can be
tentatively described with classical mathematics. Focus is on the derivation and analysis of …
tentatively described with classical mathematics. Focus is on the derivation and analysis of …