Analysis of hepatitis B disease with fractal–fractional Caputo derivative using real data from Turkey
S Uçar - Journal of Computational and Applied Mathematics, 2023 - Elsevier
Scholars and analysts have been increasingly focusing on the concept of modeling
contagious illnesses by aid of non-integer order derivatives. It is beyond suspicion that one …
contagious illnesses by aid of non-integer order derivatives. It is beyond suspicion that one …
A different approach to the European option pricing model with new fractional operator
In this work, we have derived an approximate solution of the fractional Black-Scholes
models using an iterative method. The fractional differentiation operator used in this paper is …
models using an iterative method. The fractional differentiation operator used in this paper is …
Novel solution methods for initial boundary value problems of fractional order with conformable differentiation
M Yavuz - An International Journal of Optimization and Control …, 2018 - ijocta.org
In this work, we develop a formulation for the approximate-analytical solution of fractional
partial differential equations (PDEs) by using conformable fractional derivative. Firstly, we …
partial differential equations (PDEs) by using conformable fractional derivative. Firstly, we …
Numerical inverse Laplace homotopy technique for fractional heat equations
In this paper, we have aimed the numerical inverse Laplace homotopy technique for solving
some interesting 1-D time-fractional heat equations. This method is based on the Laplace …
some interesting 1-D time-fractional heat equations. This method is based on the Laplace …
A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives
E Uçar, N Özdemir - The European Physical Journal Plus, 2021 - Springer
Recently, it is important to try to understand diseases with large mortality rates worldwide,
such as infectious disease and cancer. For this reason, mathematical modeling can be used …
such as infectious disease and cancer. For this reason, mathematical modeling can be used …
A quantitative approach to fractional option pricing problems with decomposition series
This study addresses a novel identification of Adomian Decomposition Method (ADM) to
have an accurate and quick solution for the European option pricing problem by using Black …
have an accurate and quick solution for the European option pricing problem by using Black …
Nonlocal Cauchy problem via a fractional operator involving power kernel in Banach spaces
We investigated existence and uniqueness conditions of solutions of a nonlinear differential
equation containing the Caputo–Fabrizio operator in Banach spaces. The mentioned …
equation containing the Caputo–Fabrizio operator in Banach spaces. The mentioned …
System response of an alcoholism model under the effect of immigration via non-singular kernel derivative
In this study, we aim to comprehensively investigate a drinking model connected to
immigration in terms of Atangana-Baleanu derivative in Caputo type. To do this, we firstly …
immigration in terms of Atangana-Baleanu derivative in Caputo type. To do this, we firstly …
An investigation through stochastic procedures for solving the fractional order computer virus propagation mathematical model with kill signals
In this study, the numerical investigations through the stochastic procedures for solving a
class of fractional order (FO) computer virus propagation (CVP) mathematical model with kill …
class of fractional order (FO) computer virus propagation (CVP) mathematical model with kill …
Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G') expansion method for nonlinear dynamic theory
In this paper, it is (1/G') expansion method which are used to obtain new complex hyperbolic
traveling wave solutions of the non-linear Kuramoto-Sivashinsky equation. Special values …
traveling wave solutions of the non-linear Kuramoto-Sivashinsky equation. Special values …