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A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Riaz, Muhammad Bilal
dc.contributor.author Abbas, Muhammad
dc.contributor.author Arshad, Muhammad Sarmad
dc.date.accessioned 2021-01-07T11:40:54Z
dc.date.accessioned 2025-09-18T16:08:22Z
dc.date.available 2021-01-07T11:40:54Z
dc.date.available 2025-09-18T16:08:22Z
dc.date.issued 2020
dc.description Abbas, Dr. Muhammad/0000-0002-0491-1528; Arshad, Muhammad Sarmad/0000-0001-8223-8183 en_US
dc.description.abstract In this paper, the fractional Euler method has been studied, and the derivation of the novel 2-stage fractional Runge-Kutta (FRK) method has been presented. The proposed fractional numerical method has been implemented to find the solution of fractional differential equations. The proposed novel method will be helpful to derive the higher-order family of fractional Runge-Kutta methods. The nonlinear fractional Logistic Growth Model is solved and analyzed. The numerical results and graphs of the examples demonstrate the effectiveness of the method. en_US
dc.identifier.citation Arshad, Muhammad Sarmad...et al. (2020). "A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model", Discrete Dynamics in Nature and Society, Vol. 2020. en_US
dc.identifier.doi 10.1155/2020/1020472
dc.identifier.issn 1026-0226
dc.identifier.issn 1607-887X
dc.identifier.scopus 2-s2.0-85087116706
dc.identifier.uri https://doi.org/10.1155/2020/1020472
dc.identifier.uri https://hdl.handle.net/20.500.12416/15048
dc.language.iso en en_US
dc.publisher Hindawi Ltd en_US
dc.relation.ispartof Discrete Dynamics in Nature and Society
dc.rights info:eu-repo/semantics/openAccess en_US
dc.title A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model en_US
dc.title A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Abbas, Dr. Muhammad/0000-0002-0491-1528
gdc.author.id Arshad, Muhammad Sarmad/0000-0001-8223-8183
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gdc.author.wosid Arshad, Muhammad Sarmad/Kmy-4409-2024
gdc.author.wosid Abbas, Muhammad/K-8190-2019
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Riaz, Muhammad/Aba-9824-2021
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Arshad, Muhammad Sarmad] Lahore Garrison Univ, Dept Math, Lahore, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Turkey; [Riaz, Muhammad Bilal] Univ Management & Technol, Dept Math, Lahore, Pakistan; [Riaz, Muhammad Bilal] Univ Free State, Inst Groundwater Studies IGS, Bloemfontein, South Africa; [Abbas, Muhammad] Univ Sargodha, Dept Math, Sargodha, Pakistan en_US
gdc.description.endpage 8
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 1
gdc.description.volume 2020 en_US
gdc.description.woscitationindex Science Citation Index Expanded
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gdc.oaire.keywords Economics
gdc.oaire.keywords Logistic function
gdc.oaire.keywords Euler's formula
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Quantum mechanics
gdc.oaire.keywords Convergence Analysis of Iterative Methods for Nonlinear Equations
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Numerical Methods for Singularly Perturbed Problems
gdc.oaire.keywords Nonlinear programming
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gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Fractional programming
gdc.oaire.keywords Stability (learning theory)
gdc.oaire.keywords Runge–Kutta methods
gdc.oaire.keywords Biology
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Order (exchange)
gdc.oaire.keywords Numerical Analysis
gdc.oaire.keywords Time-Fractional Diffusion Equation
gdc.oaire.keywords Physics
gdc.oaire.keywords Statistics
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Paleontology
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Computer science
gdc.oaire.keywords Fractional Derivatives
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Fractional Calculus
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Stage (stratigraphy)
gdc.oaire.keywords Finance
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
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gdc.opencitations.count 32
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gdc.publishedmonth 6
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gdc.virtual.author Baleanu, Dumitru
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