European option pricing models described by fractional operators with classical and generalized Mittag‐Leffler kernels
M Yavuz - Numerical Methods for Partial Differential Equations, 2022 - Wiley Online Library
In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …
their fundamental mathematical analyses. The main novelties of the paper are the analysis …
New approaches to the fractional dynamics of schistosomiasis disease model
In this paper, schistosomiasis fractional order dynamic model is examined via exponential
law kernel sense and Mittag-Leffler kernel in Liouville–Caputo sense. Some special …
law kernel sense and Mittag-Leffler kernel in Liouville–Caputo sense. Some special …
An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law
The main aim of the current article is considering a nonlinear time‐fractional Cauchy
reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate …
reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate …
A fractional order optimal 4D chaotic financial model with Mittag-Leffler law
A Atangana, E Bonyah, AA Elsadany - Chinese Journal of Physics, 2020 - Elsevier
In this paper, a fractional 4D chaotic financial model with optimal control is investigated. The
fractional derivative used in this financial model is Atangana–Baleanu derivative. The …
fractional derivative used in this financial model is Atangana–Baleanu derivative. The …
On a reaction–diffusion model for calcium dynamics in neurons with Mittag–Leffler memory
In recent times, the Atangana–Baleanu–Caputo (ABC) derivative is one of the robust
fractional operators to solve complex dynamical problems due to its nonlocal and non …
fractional operators to solve complex dynamical problems due to its nonlocal and non …
Time-fractional Caputo derivative versus other integrodifferential operators in generalized Fokker-Planck and generalized Langevin equations
Fractional diffusion and Fokker-Planck equations are widely used tools to describe
anomalous diffusion in a large variety of complex systems. The equivalent formulations in …
anomalous diffusion in a large variety of complex systems. The equivalent formulations in …
Local generalization of transversality conditions for optimal control problem
BBİ Eroglu, D Yapişkan - Mathematical Modelling of Natural …, 2019 - mmnp-journal.org
In this paper, we introduce the transversality conditions of optimal control problems
formulated with the conformable derivative. Since the optimal control theory is based on …
formulated with the conformable derivative. Since the optimal control theory is based on …
Further studies on ordinary differential equations involving the M-fractional derivative
In the current paper, the power series based on the M-fractional derivative is formally
introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for …
introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for …
Çocukluk çağında pnömoni hastalığının kesirli optimal kontrolü
M Yurtoğlu - 2023 - acikerisim.balikesir.edu.tr
Pnömoni, virüs veya bakteri gibi patojenlerin sebep olduğu bulaşıcı bir akciğer iltihabıdır.
İnsanlık tarihinde en fazla ölüme sebep olan hastalıkların başında gelir. Ayrıca, hastalığa …
İnsanlık tarihinde en fazla ölüme sebep olan hastalıkların başında gelir. Ayrıca, hastalığa …
Atangana-baleanu türevli lineer adveksiyon-difüzyon denkleminin başlangıç-sınır değer problemleri
A Yetim - 2019 - dspace.balikesir.edu.tr
Kesirli analiz tam sayı mertebeli türev ve integrallerin, keyfi mertebeye genişletilmesi olarak
tanımlanmaktadır. Kesirli operatörler, gerçek hayatta karşılaşılabilen birçok problem için …
tanımlanmaktadır. Kesirli operatörler, gerçek hayatta karşılaşılabilen birçok problem için …