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 …
Analytical solutions of (2+ time fractional order) dimensional physical models, using modified decomposition method
In this article, a new analytical technique based on an innovative transformation is used to
solve (2+ time fractional-order) dimensional physical models. The proposed method is the …
solve (2+ time fractional-order) dimensional physical models. The proposed method is the …
Exponential stability of Hopfield neural networks with conformable fractional derivative
A Kütahyalıoglu, F Karakoç - Neurocomputing, 2021 - Elsevier
Exponential stability of Hopfield neural networks with conformable fractional derivative -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
Chaotic attractors with fractional conformable derivatives in the Liouville–Caputo sense and its dynamical behaviors
This paper deals with a numerical simulation of fractional conformable attractors of type
Rabinovich–Fabrikant, Thomas' cyclically symmetric attractor and Newton–Leipnik …
Rabinovich–Fabrikant, Thomas' cyclically symmetric attractor and Newton–Leipnik …
Conformable derivative operator in modelling neuronal dynamics
M Yavuz, B Yaşkıran - Applications and Applied …, 2018 - digitalcommons.pvamu.edu
This study presents two new numerical techniques for solving time-fractional one-
dimensional cable differential equation (FCE) modeling neuronal dynamics. We have …
dimensional cable differential equation (FCE) modeling neuronal dynamics. We have …
Conformable heat equation on a radial symmetric plate
The conformable heat equation is defined in terms of a local and limit-based definition called
conformable derivative which provides some basic properties of integer order derivative …
conformable derivative which provides some basic properties of integer order derivative …
Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations
The Hausdorff derivative partial differential equations have in recent years been found to be
capable of describing complex mechanics and physics behaviors such as anomalous …
capable of describing complex mechanics and physics behaviors such as anomalous …
Approximate-analytical solutions of cable equation using conformable fractional operator
M Yavuz, B Yaşkıran - New Trends in Mathematical Sciences, 2017 - dergipark.org.tr
In the present work, we have introduced a new formulation for the approximate-analytical
solution of the fractional one-dimensional cable differential equation (FCE) by using the …
solution of the fractional one-dimensional cable differential equation (FCE) by using the …
Efficient solution of fractional-order SIR epidemic model of childhood diseases with optimal homotopy asymptotic method
In providing an accurate approximate analytical solution to the non-linear system of
fractional-order susceptible-infected-recovered epidemic model (FOSIREM) of childhood …
fractional-order susceptible-infected-recovered epidemic model (FOSIREM) of childhood …