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Soft Computing
Published in: Soft Computing 7/2022

03-02-2022 | Optimization

Use of optimal control in studying the dynamical behaviors of fractional financial awareness models

Authors: A. M. S. Mahdy, Kh. Lotfy, A. A. El-Bary

Published in: Soft Computing | Issue 7/2022

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Abstract

Around there, we new examination has been done on past investigations of perhaps the main numerical models that portray the worldwide monetary development and that is depicted as a non-straight fragmentary monetary model of mindfulness, where the investigations address the means following: One: The schematic of the model is proposed. Two: The sickness-free balance point and the soundness of the harmony point are talked about. Three: The strength of the model is satisfying by drawing the Lyapunov examples. Fourth: The presence of consistently stable arrangements is examined. Five: The Caputo is portrayed as the fragmentary subsidiary. Six: Fragmentary ideal control for NFFMA is examined, by explaining the partial ideal control through drawing when control. Seven: We are utilizing the calculation, summed up Adams–Bashforth–Moulton technique (GABMP) to tackle the is utilized to take the goal of an NFFMA. At last, we show that GABMP is profoundly indistinguishable. The mathematical strategy utilized in this composition to address this model has not been used by any creator before that. Additionally, this model with partial subordinates characterized in this manner has not been concentrated before that. The strategies used are not difficult to impact, regardless of whether logical or mathematical, and give great results.
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Literature
Abdel-Halim Hassan IH, Othman MIA, Mahdy AMS (2009) Variational iteration method for solving: Twelve order boundary value problems. Int J Math Anal 3(15):719–730MathSciNetMATH
Amer YA, Mahdy AMS, Youssef ESM (2017) Solving systems of fractional differential equations using sumudu transform Method. Asian Res J Math 7(2):1–15
Amer YA, Mahdy AMS, Youssef ESM (2018a) Solving systems of fractional nonlinear equations of Emden-Fowler type by using sumudu transform method. Global J Pure Appl Math 14(1):91–113
Amer YA, Mahdy AMS, Namoos HAR (2018b) Reduced differential transform method for solving fractional-order biological systems. J Eng Appl Sci 13(20):8489–8493
Amer YA, Mahdy AMS, Shwayaa TT, Youssef ESM (2018c) Laplace transform method for solving nonlinear biochemical reaction model and nonlinear Emden-Fowler system. J Eng Appl Sci 13(17):7388–7394
Bulut H, Baskonus HM, Belgacem FBM (2013) The analytical solutions of some fractional ordi-nary differential equations by sumudu transform method. Abstract Appl Anal 2013
Charpentier BC, Parra GG, Arenas AJ (2015) Fractional order financial models for awareness and trial advertising decisions. Comput Econ 48(4):555–568CrossRef
Diethelm K, Ford J, Freed A (2004b) Multi-order fractional differential equations and their numerical solution. Appl Math Comput 154:621–640MathSciNetMATH
Elsadany AA, Matouk AE (2015) Dynamical behaviors of fractional-order Lotka-Voltera predator-prey model and its discretization. Appl Math Comput 49:269–283MathSciNetMATH
El-Shahed M, Ahmed MA, Abdelstar MEI (2016) Fractional calculus model for the Hepatitis C with different types of Virus Genome. Int J Syst Sci Appl Math 1(3):23–29
El-Shahed M, Nieto JJ, Ahmed AM, Abdelstar IME (2017) Fractional-order model for biocontrol of the lesser date moth in palm trees and its discretization. Adv Differ Equ 2017:1–16MathSciNetMATHCrossRef
Freihat A, Momani S (2012) Application of multistep gneralized differential transform method for the solutions of the fractional-order Chua’s system. Hindawi Publishing Corporation Discrete Dynamics in Nature and Society
Garg M, Manohar P, Kalla SL (2011) Generalized differential transform method to space-time fractional telegraph equation. Int J Differ Equ 2011:1–9MathSciNetMATH
Garsow CC, Salivia GJ, Herrera AR (2000) Mathematical models for the dynamics of Tobacoo use, recovery and relapse, Technical Reportr Series BU-1505-M, Cornell university, UK
Gepreel KA, Mahdy AMS, Mohamed MS, Al-Amiri A (2019) Reduced differential transform method for solving nonlinear biomathematics models. CMC Comput Mater Contin 61(3):979–994
Gepreel KA, Higazy M, Mahdy AMS (2020) Optimal control, signal flow graph, and system electronic circuit realization for nonlinear Anopheles Mosquito model. Int J Modern Phys C (IJMPC) 31(09):1–18MathSciNet
Gepreel KA, Mohamed MS, Alotaibi H, Mahdy AMS (2021) Dynamical behaviors of nonlinear Coronavirus (COVID-19) model with numerical studies. CMC Comput Mater Continua 67(1):675–686
Jafari H, Daftardar-Gejji V (2006) Solving a system of nonlinear fractional differential equations using Adomian decomposition. J Comput Appl Math 96(2):644–651MathSciNetMATHCrossRef
Khader MM, Sweilam NH, Mahdy AMS (2014a) The chebyshev collection method for solving fractional order klein-gordon equation. WSEAS Trans Math 13:31–38
Khader MM, Sweilam NH, Mahdy AMS, Abdel Moniem NK (2014b) Numerical simulation for the fractional SIRC model and Influenza A. Appl Math Inf Sci 8(3):1–8CrossRef
Khader MM, Sweilam NH, Mahdy AMS (2015) Two computational algorithms for the numerical solution for system of fractional. Arab J Math Sci 21(1):39–52MathSciNetMATH
Khamis AK, Lotfy K, El-Bary AA, Mahdy AMS, Ahmed MH (2021) Thermal-piezoelectric problem of a semiconductor medium during photo-thermal excitation. Waves Random Complex Media 31(6):2499–2513MathSciNetCrossRef
Liao S (2005) Comparison between the homotopy analysis method and homotopy perturbation method. Appl Math Comput 169:1186–1194MathSciNetMATH
Mahdy AMS (2018) Numerical studies for solving fractional integro-differential equations. J Ocean Eng Sci 3(2):127–132MathSciNetCrossRef
Mahdy AMS (2021) Numerical solutions for solving model time-fractional Fokker-Planck equation. Numer Methods Partial Differ Equ 37(2):1120–1135MathSciNetCrossRef
Mahdy AMS, Higazy M (2019) Numerical different methods for solving the non linear Biochemical reaction model. Int J Appl Comput Math 5(6):1–17MathSciNetMATHCrossRef
Mahdy AMS, Sweilam NH, Higazy M (2020a) Approximate solutions for solving nonlinear fractional order smoking model. Alex Eng J 59(2):739–752CrossRef
Mahdy AMS, Higazy M, Gepreel KA, El-dahdouh AAA (2020b) Optimal control and bifurcation diagram for a model nonlinear fractional SIRC. Alex Eng J 59(5):3481–3501CrossRef
Mahdy AMS, Mohamed MS, Gepreel KA, A AL-Amiri, M Higazy, (2020c) Dynamical characteristics and signal flow graph of nonlinear fractional smoking Mathematical model. Chaos Solitons Fractals 141:1–28MathSciNetCrossRef
Mahdy AMS, Lotfy K, Ahmed MH, El-Bary A, Ismail EA (2020e) Electromagnetic Hall current effect and fractional heat order for microtemperature photo-excited semiconductor medium with laser pulses. Res Phys 17:103161
Mahdy AMS, Lotfy K, Ismail EA, El-Bary A, Ahmed M, El-Dahdouh AA (2020f) Analytical solutions of time-fractional heat order for a magnetophotothermal semiconductor medium with Thomson effects and initial Stress. Res Phys 18:103174
Mahdy AMS, Lotfy K, Hassan W, El-Bary AA (2021) Analytical solution of magneto-photothermal theory during variable thermal conductivity of a semiconductor material due to pulse heat flux and volumetric heat source. Waves Random Complex Media 31(6):2040–2057MathSciNetCrossRef
Mahdy AMS, Amer YA, Mohamed MS, Youssef ES (2020) General fractional financial models of awareness with Caputo–Fabrizio derivative. Adv Mech Eng 12(11)
Mahdy AMS, Gepreel KA, Lofy K, El-Bary AA (2021) Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness. Appl Math-A J Chin Univ accepted 2021
Povstenko Y (2015) Fractional thermoelasticity, solid mechanics and its applications. Springer, SwitzerlandMATHCrossRef
Sweilam NH, Abou Hasan MM (2016) Numerical approximation of Lévy-Feller fractional diffusion equation via Chebyshev-Legendre collocation method. Eur Phys J plus 131(8):251CrossRef
Sweilam NH, Abou Hasan MM (2017) Numerical solutions of a general coupled nonlinear system of parabolic and hyperbolic equations of thermoelasticity. Eur Phys J plus 132(5):212CrossRef
Sweilam NH, Abou Hasan MM (2020) New approximation for Riesz-Feller fractional derivative using Jacobi spectral collocation method. Progr Fract Differ Appl 6(2):1–14
Sweilam NH, Al-Mekhlafi SM (2018) Optimal control for a nonlinear mathematical model of tumor under immune suppression a numerical approach. Optimal Control Appl Methods 39:1581–1596MathSciNetMATHCrossRef
Sweilam NH, Abou Hasan MM, Baleanu D (2017) New studies for general fractional financial models of awareness and trial advertising decisions. Chaos Solitons Fractals 104:772–784MathSciNetMATHCrossRef
Sweilam NH, Al-Mekhlafi SM, Baleanu D (2019a) Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains. J Adv Res 17:125–137CrossRef
Sweilam NH, Saad OM, Mohamed DG (2019b) Fractional optimal control in transmission dynamics of West Nile model with state and control time delay a numerical approach. Adv Differ Equ 2019(210):1–25MathSciNetMATH
Sweilam NH, Saad OM, Mohamed DG (2019c) Numerical treatments of the tranmission dynamics of West Nile virus and it’s optimal control. Electon J Math Anal Appl 7(2):9–38MATH
Wang M, Gou Q, Wu C, Liang L (2013) An aggregate advertising response model based on consumer population dynamics. Int J Appl Manag Sci 5(1):22–38CrossRef
Wolf A, Swift JB, Swinney HL, Vastano JA (1985) Determining Lyapunov exponents from a time series. Phys D Nonlinear Phenom 16:285–317MathSciNetMATHCrossRef
Metadata
Title
Use of optimal control in studying the dynamical behaviors of fractional financial awareness models
Authors
A. M. S. Mahdy
Kh. Lotfy
A. A. El-Bary
Publication date
03-02-2022
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 7/2022
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-022-06764-y

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