EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Math. Model. Nat. Phenom., 13 1 (2018) 12 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Analytical Investigation of Some Time-Fractional Black–Scholes Models by the Aboodh Residual Power Series Method

Muhammad Imran Liaqat, Ali Akgül and Hanaa Abu-Zinadah
Mathematics 11 (2) 276 (2023)
DOI: 10.3390/math11020276
See this article

Fractional view of heat‐like equations via the Elzaki transform in the settings of the Mittag–Leffler function

Saima Rashid, Khadija Tul Kubra and Khadijah M. Abualnaja
Mathematical Methods in the Applied Sciences 46 (10) 11420 (2023)
DOI: 10.1002/mma.7793
See this article

Comparative Analysis of the Time-Fractional Black–Scholes Option Pricing Equations (BSOPE) by the Laplace Residual Power Series Method (LRPSM)

Muhammad Imran Liaqat, Eric Okyere and Watcharaporn Cholamjiak
Journal of Mathematics 2023 1 (2023)
DOI: 10.1155/2023/6092283
See this article

Study on fuzzy fractional European option pricing model with Mittag-Leffler kernel

Hebatollah Hashemi, Reza Ezzati, Naser Mikaeilvand and Mojtaba Nazari
Journal of Intelligent & Fuzzy Systems 1 (2023)
DOI: 10.3233/JIFS-232094
See this article

Caputo fractional-order SEIRP model for COVID-19 Pandemic

Saheed O. Akindeinde, Eric Okyere, Adebayo O. Adewumi, et al.
Alexandria Engineering Journal 61 (1) 829 (2022)
DOI: 10.1016/j.aej.2021.04.097
See this article

A Robust Analytical Method for Regularized Long Wave Equations

Haresh P. Jani and Twinkle R. Singh
Iranian Journal of Science and Technology, Transactions A: Science 46 (6) 1667 (2022)
DOI: 10.1007/s40995-022-01380-9
See this article

Numerical solving of generalized Black-Scholes differential equation using deep learning based on blocked residual connection

Muzhou Hou, Huawei Fu, Zheng Hu, et al.
Digital Signal Processing 126 103498 (2022)
DOI: 10.1016/j.dsp.2022.103498
See this article

Approximate Analytical Solution of Two-Dimensional Nonlinear Time-Fractional Damped Wave Equation in the Caputo Fractional Derivative Operator

Alemayehu Tamirie Deresse, Yesuf Obsie Mussa, Ademe Kebede Gizaw and José Francisco Gómez Aguilar
Mathematical Problems in Engineering 2022 1 (2022)
DOI: 10.1155/2022/7004412
See this article

An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay Kernels

Saima Rashid, Saad Ihsan Butt, Zakia Hammouch, Ebenezer Bonyah and Alexander Meskhi
Journal of Function Spaces 2022 1 (2022)
DOI: 10.1155/2022/2613133
See this article

A Modified Black-Scholes-Merton Model for Option Pricing

Paula Morales-Bañuelos, Nelson Muriel and Guillermo Fernández-Anaya
Mathematics 10 (9) 1492 (2022)
DOI: 10.3390/math10091492
See this article

Taming Hyperchaos with Exact Spectral Derivative Discretization Finite Difference Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk

Dominic P. Clemence-Mkhope and Gregory A. Gibson
Mathematical and Computational Applications 27 (1) 4 (2022)
DOI: 10.3390/mca27010004
See this article

Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel

Zain Ul Abadin Zafar, Ndolane Sene, Hadi Rezazadeh and Nafiseh Esfandian
Mathematical Sciences 16 (2) 121 (2022)
DOI: 10.1007/s40096-021-00403-7
See this article

Spectral Solutions for Fractional Black–Scholes Equations

M. A. Abdelkawy, António M. Lopes and Taseer Muhammad
Mathematical Problems in Engineering 2022 1 (2022)
DOI: 10.1155/2022/9365292
See this article

Analysis and dynamics of the Ivancevic option pricing model with a novel fractional calculus approach

P. Veeresha and Devendra Kumar
Waves in Random and Complex Media 1 (2022)
DOI: 10.1080/17455030.2022.2070684
See this article

Efficient Solution of Fractional-Order SIR Epidemic Model of Childhood Diseases With Optimal Homotopy Asymptotic Method

Okundalaye Oluwaseun Olumide, Wan Ainun Mior Othman and Necati Ozdemir
IEEE Access 10 9395 (2022)
DOI: 10.1109/ACCESS.2022.3141707
See this article

Numerical Solution of Time Fractional Black–Scholes Model Based on Legendre Wavelet Neural Network with Extreme Learning Machine

Xiaoning Zhang, Jianhui Yang and Yuxin Zhao
Fractal and Fractional 6 (7) 401 (2022)
DOI: 10.3390/fractalfract6070401
See this article

Numerical Simulation of Elastic Wave Field in Viscoelastic Two-Phasic Porous Materials Based on Constant Q Fractional-Order BISQ Model

Ning Hu, Maofa Wang, Baochun Qiu and Yuanhong Tao
Materials 15 (3) 1020 (2022)
DOI: 10.3390/ma15031020
See this article

A New Homotopy Transformation Method for Solving the Fuzzy Fractional Black–Scholes European Option Pricing Equations under the Concept of Granular Differentiability

Jianke Zhang, Yueyue Wang and Sumei Zhang
Fractal and Fractional 6 (6) 286 (2022)
DOI: 10.3390/fractalfract6060286
See this article

Applications of Wavelet Multiresolution Analysis

Marcela A. Fabio, Silvia A. Seminara and María Inés Troparevsky
SEMA SIMAI Springer Series, Applications of Wavelet Multiresolution Analysis 4 1 (2021)
DOI: 10.1007/978-3-030-61713-4_1
See this article

Solving fractional Black–Scholes equation by using Boubaker functions

A.A. Khajehnasiri and M. Safavi
Mathematical Methods in the Applied Sciences 44 (11) 8505 (2021)
DOI: 10.1002/mma.7270
See this article

On Comparative Analysis for the Black-Scholes Model in the Generalized Fractional Derivatives Sense via Jafari Transform

Saima Rashid, Sobia Sultana, Rehana Ashraf, Mohammed K. A. Kaabar and Youssri Hassan Youssri
Journal of Function Spaces 2021 1 (2021)
DOI: 10.1155/2021/7767848
See this article

Numerical solving of the generalized Black-Scholes differential equation using Laguerre neural network

Yinghao Chen, Hanyu Yu, Xiangyu Meng, et al.
Digital Signal Processing 112 103003 (2021)
DOI: 10.1016/j.dsp.2021.103003
See this article

Analysis of an Electrical Circuit Using Two-Parameter Conformable Operator in the Caputo Sense

Ewa Piotrowska and Łukasz Sajewski
Symmetry 13 (5) 771 (2021)
DOI: 10.3390/sym13050771
See this article

New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives

Esra Karatas Akgül, Ali Akgül and Mehmet Yavuz
Chaos, Solitons & Fractals 146 110877 (2021)
DOI: 10.1016/j.chaos.2021.110877
See this article

Application of the Generalized Laplace Homotopy Perturbation Method to the Time-Fractional Black–Scholes Equations Based on the Katugampola Fractional Derivative in Caputo Type

Sirunya Thanompolkrang, Wannika Sawangtong and Panumart Sawangtong
Computation 9 (3) 33 (2021)
DOI: 10.3390/computation9030033
See this article

The Fractional View Analysis of Polytropic Gas, Unsteady Flow System

Hassan Khan, Saeed Islam, Muhammad Arif and Lishan Liu
Mathematical Problems in Engineering 2021 1 (2021)
DOI: 10.1155/2021/5130136
See this article

Analytical solutions of some nonlinear fractional‐order differential equations by different methods

Meryem Odabasi, Zehra Pinar and Huseyin Kocak
Mathematical Methods in the Applied Sciences 44 (9) 7526 (2021)
DOI: 10.1002/mma.6313
See this article

Fundamental calculus of the fractional derivative defined with Rabotnov exponential kernel and application to nonlinear dispersive wave model

Mehmet Yavuz and Ndolane Sene
Journal of Ocean Engineering and Science 6 (2) 196 (2021)
DOI: 10.1016/j.joes.2020.10.004
See this article

Approximate-Analytical solution to the information measure’s based quanto option pricing model

Luckshay Batra and H.C. Taneja
Chaos, Solitons & Fractals 153 111493 (2021)
DOI: 10.1016/j.chaos.2021.111493
See this article

Novel comparison of numerical and analytical methods for fractional Burger–Fisher equation

Asif Yokus and Mehmet Yavuz
Discrete & Continuous Dynamical Systems - S 14 (7) 2591 (2021)
DOI: 10.3934/dcdss.2020258
See this article

A Novel Homotopy Perturbation Method with Applications to Nonlinear Fractional Order KdV and Burger Equation with Exponential-Decay Kernel

Shabir Ahmad, Aman Ullah, Ali Akgül, Manuel De la Sen and Alexander Meskhi
Journal of Function Spaces 2021 1 (2021)
DOI: 10.1155/2021/8770488
See this article

A Novel Homotopy Perturbation Algorithm Using Laplace Transform for Conformable Partial Differential Equations

Sajad Iqbal, Mohammed K. A. Kaabar, Francisco Martínez and Muhammad Shoaib Anwar
Mathematical Problems in Engineering 2021 1 (2021)
DOI: 10.1155/2021/2573067
See this article

Analytical and numerical approaches to nerve impulse model of fractional‐order

Mehmet Yavuz and Asıf Yokus
Numerical Methods for Partial Differential Equations 36 (6) 1348 (2020)
DOI: 10.1002/num.22476
See this article

New collocation scheme for solving fractional partial differential equations

Chang PHANG, Afshan KANWAL and Jian Rong LOH
Hacettepe Journal of Mathematics and Statistics 49 (3) 1107 (2020)
DOI: 10.15672/hujms.459621
See this article

Stability Analysis and Numerical Computation of the Fractional Predator–Prey Model with the Harvesting Rate

Mehmet Yavuz and Ndolane Sene
Fractal and Fractional 4 (3) 35 (2020)
DOI: 10.3390/fractalfract4030035
See this article

Fractional economic models based on market equilibrium in the frame of different type kernels

Bahar Acay, Erdal Bas and Thabet Abdeljawad
Chaos, Solitons & Fractals 130 109438 (2020)
DOI: 10.1016/j.chaos.2019.109438
See this article

Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan

Parvaiz Ahmad Naik, Mehmet Yavuz, Sania Qureshi, Jian Zu and Stuart Townley
The European Physical Journal Plus 135 (10) (2020)
DOI: 10.1140/epjp/s13360-020-00819-5
See this article

Fractional order oxygen–plankton system under climate change

Ramazan Ozarslan and Yadigar Sekerci
Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (3) (2020)
DOI: 10.1063/1.5129766
See this article

Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

Mehmet Yavuz and Thabet Abdeljawad
Advances in Difference Equations 2020 (1) (2020)
DOI: 10.1186/s13662-020-02828-1
See this article

Novel Approaches for Getting the Solution of the Fractional Black–Scholes Equation Described by Mittag-Leffler Fractional Derivative

Ndolane Sene, Babacar Sène, Seydou Nourou Ndiaye and Awa Traoré
Discrete Dynamics in Nature and Society 2020 1 (2020)
DOI: 10.1155/2020/8047347
See this article

The role of prostitution on HIV transmission with memory: A modeling approach

Parvaiz Ahmad Naik, Mehmet Yavuz and Jian Zu
Alexandria Engineering Journal 59 (4) 2513 (2020)
DOI: 10.1016/j.aej.2020.04.016
See this article

A novel analytical technique for the solution of time-fractional Ivancevic option pricing model

Rajarama Mohan Jena, Snehashish Chakraverty and Dumitru Baleanu
Physica A: Statistical Mechanics and its Applications 550 124380 (2020)
DOI: 10.1016/j.physa.2020.124380
See this article

Solving Black–Scholes equations using fractional generalized homotopy analysis method

S. R. Saratha, G. Sai Sundara Krishnan, M. Bagyalakshmi and Chee Peng Lim
Computational and Applied Mathematics 39 (4) (2020)
DOI: 10.1007/s40314-020-01306-4
See this article

Model of economic growth in the context of fractional derivative

Awa Traore and Ndolane Sene
Alexandria Engineering Journal 59 (6) 4843 (2020)
DOI: 10.1016/j.aej.2020.08.047
See this article

European option pricing models described by fractional operators with classical and generalizedMittag‐Lefflerkernels

Mehmet Yavuz
Numerical Methods for Partial Differential Equations (2020)
DOI: 10.1002/num.22645
See this article

Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells

Parvaiz Ahmad Naik, Kolade M. Owolabi, Mehmet Yavuz and Jian Zu
Chaos, Solitons & Fractals 140 110272 (2020)
DOI: 10.1016/j.chaos.2020.110272
See this article

Homotopy Perturbation ρ-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation

Ndolane Sene and Aliou Niang Fall
Fractal and Fractional 3 (2) 14 (2019)
DOI: 10.3390/fractalfract3020014
See this article

Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives

Ndolane Sene and José Francisco Gómez Aguilar
Fractal and Fractional 3 (3) 39 (2019)
DOI: 10.3390/fractalfract3030039
See this article

An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma

Amit Goswami, Jagdev Singh, Devendra Kumar, Sumit Gupta and Sushila
Journal of Ocean Engineering and Science 4 (2) 85 (2019)
DOI: 10.1016/j.joes.2019.01.003
See this article

Complex conformable derivative

Sümeyra Uçar, Nihal Yılmaz Özgür and Beyza Billur İskender Eroğlu
Arabian Journal of Geosciences 12 (6) (2019)
DOI: 10.1007/s12517-019-4396-y
See this article

An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma

Amit Goswami, Jagdev Singh, Devendra Kumar and Sushila
Physica A: Statistical Mechanics and its Applications 524 563 (2019)
DOI: 10.1016/j.physa.2019.04.058
See this article

A reliable treatment of residual power series method for time-fractional Black–Scholes European option pricing equations

Ved Prakash Dubey, Rajnesh Kumar and Devendra Kumar
Physica A: Statistical Mechanics and its Applications 533 122040 (2019)
DOI: 10.1016/j.physa.2019.122040
See this article

Black–Scholes option pricing equations described by the Caputo generalized fractional derivative

Aliou Niang Fall, Seydou Nourou Ndiaye and Ndolane Sene
Chaos, Solitons & Fractals 125 108 (2019)
DOI: 10.1016/j.chaos.2019.05.024
See this article

Local generalization of transversality conditions for optimal control problem

Beyza Billur İskender Eroglu, Dіlara Yapişkan, D. Kumar, et al.
Mathematical Modelling of Natural Phenomena 14 (3) 310 (2019)
DOI: 10.1051/mmnp/2019013
See this article

Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces

Ayşegül Keten, Mehmet Yavuz and Dumitru Baleanu
Fractal and Fractional 3 (2) 27 (2019)
DOI: 10.3390/fractalfract3020027
See this article

A new iterative method based solution for fractional Black–Scholes option pricing equations (BSOPE)

Rajarama Mohan Jena and S. Chakraverty
SN Applied Sciences 1 (1) (2019)
DOI: 10.1007/s42452-018-0106-8
See this article

A Continuous Time Bertrand Duopoly Game With Fractional Delay and Conformable Derivative: Modeling, Discretization Process, Hopf Bifurcation, and Chaos

Baogui Xin, Wei Peng and Luca Guerrini
Frontiers in Physics 7 (2019)
DOI: 10.3389/fphy.2019.00084
See this article

Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

Baogui Xin, Wei Peng, Yekyung Kwon and Yanqin Liu
Advances in Difference Equations 2019 (1) (2019)
DOI: 10.1186/s13662-019-2074-8
See this article

Applications of differential transformation method to solve systems of ordinary and partial differential equations

Ümit SARP, Fırat EVİRGEN and Sebahattin İKİKARDEŞ
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (2) 135 (2018)
DOI: 10.25092/baunfbed.423145
See this article

An Alternative Approach for Nonlinear Optimization Problem with Caputo - Fabrizio Derivative

Fırat Evirgen, Mehmet Yavuz, C. Cattani, et al.
ITM Web of Conferences 22 01009 (2018)
DOI: 10.1051/itmconf/20182201009
See this article

On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative

Mehmet Yavuz, Necati Özdemir, C. Cattani, et al.
ITM Web of Conferences 22 01045 (2018)
DOI: 10.1051/itmconf/20182201045
See this article

Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel

Mehmet Yavuz, Necati Ozdemir and Haci Mehmet Baskonus
The European Physical Journal Plus 133 (6) (2018)
DOI: 10.1140/epjp/i2018-12051-9
See this article

Homotopy methods for fractional linear/nonlinear differential equations with a local derivative operator

Mehmet YAVUZ and Burcu YAŞKIRAN
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (3) 75 (2018)
DOI: 10.25092/baunfbed.476608
See this article

Novel Recursive Approximation for Fractional Nonlinear Equations within Caputo-Fabrizio Operator

Mehmet Yavuz, C. Cattani, A. Atangana, et al.
ITM Web of Conferences 22 01008 (2018)
DOI: 10.1051/itmconf/20182201008
See this article