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FracPECE

swMATH ID: 24209
Software Authors: K. Diethelm, A.D. Freed
Description: The FracPECE subroutine for the numerical solution of differential equations of fractional order. We present and discuss an algorithm for the numerical solution of nonlinear differential equations of fractional (i.e., non-integer) order. This algorithm allows us to analyze in an efficient way a mathematical model for the description of the behaviour of viscoplastic materials. The model contains a nonlinear differential equation of order β, where β is a material constant typically in the range 0 < β < 1. This equation is coupled with a first-order differential equation. The algorithm for the numerical solution of these equations is based on a PECE-type approach.
Homepage: https://fractionalworld.wordpress.com/abstracts-fracpece/
Related Software: Matlab; FDE12; Sprott's Software; FODE; DFOC; sysdfod; Mathematica; Fractional Order Chaotic Systems; ML; RODAS; ma2dfc; Mittag-Leffler; Ode15s; RADAR5; ParalleloGAM; Differentiation Matrix Suite; UTV; Maple; FOMCON; dde23
Referenced in: 76 Publications
all top 5

Referenced by 176 Authors

5 El-Saka, Hala A. A.
5 El-Sayed, Ahmed Mohamed Ahmed
3 Bera, Rasajit K.
3 Butcher, Eric A.
3 Dabiri, Arman
3 El-Mesiry, A. E. M.
3 Saha Ray, Santanu
3 Wu, Cong
2 Akgul, Akif
2 Ali, Aatif
2 Băleanu, Dumitru I.
2 Diethelm, Kai
2 El Euch, Omar
2 Ford, Neville J.
2 Garrappa, Roberto
2 Hanyga, Andrzej
2 Higazy, M. Sh.
2 Islam, Saeed
2 Javidi, Mohammad
2 Khan, Muhammad Altaf
2 Muhammad, Taseer
2 Pinto, Carla M. A.
2 Popolizio, Marina
2 Rajagopal, Karthikeyan
2 Sarv Ahrabi, Sima
2 Shahbazi Asl, Mohammad
2 Torres, Delfim Fernando Marado
2 Zeng, Caibin
1 Abdeljawad, Thabet
1 Abdelmalek, Salem
1 Abdelouahab, Mohammed-Salah
1 Abdo, Mohammed Salem
1 Adibi, Hojatollah
1 Ahmad, Bashir
1 Ahmed, Eshag Mohamed
1 Akinyemi, Lanre
1 Algehyne, Ebrahem A.
1 Ali, Saeed M.
1 Alsaadi, Fawaz E.
1 Alsaadi, Fuad Eid S.
1 Alshahrani, Mohammad Y.
1 Alshehri, Maryam Gharamah Ali
1 Alshomrani, Ali Saleh
1 Area, Iván
1 Arslan, Damla
1 Barbosa, A. N.
1 Baskonus, Haci Mehmet
1 Batarfi, Hanan
1 Bebbouchi, Rachid
1 Bendoukha, Samir
1 Bologna, Mauro
1 Boyraz, Ömer Faruk
1 Braga, Joao Paulo
1 Brummund, Jörg
1 Burrage, Kevin
1 Camargo, Rubens F.
1 Carvalho, Ana R. M.
1 Čermák, Jan
1 Chaudhuri, Kripa Sindhu
1 Chen, Hsien-Keng
1 Chen, Juhn-Horng
1 Chen, Wen-Chin
1 Chidouh, Amar
1 Dos Santos, José Paulo Carvalho
1 Douaifia, Redouane
1 D’Ovidio, Mirko
1 Drăgănescu, Gheorghe
1 Durdu, Ali
1 Effati, Sohrab
1 El-Mesady, Ahmed
1 Eshaghi, Jafar
1 Fang, Hui
1 Ferreira, José Claudinei
1 Ford, Judith M.
1 Grigolini, Paolo
1 Guezane-Lakoud, Assia
1 Hamdan, Nur ’Izzati
1 Hamri, Nasreddine
1 Helikumi, Mlyashimbi
1 Henry, Bruce I.
1 Hofmann, Bernd
1 Iyiola, Olaniyi Samuel
1 Jaber, Eduardo Abi
1 Jafari, Sajad
1 Jajarmi, Amin
1 Jannelli, Alessandra
1 Jarad, Fahd
1 Jesus, Carla
1 Kamyad, Ali Vahidian
1 Kang, Yuan
1 Kästner, Markus
1 Kazem, Saeed
1 Kgosimore, Moatlhodi
1 Kiliçman, Adem
1 Kumar, Himanshu
1 Kumar, Surendra Shashi
1 Langlands, T. A. M.
1 Lemes, Nelson H. T.
1 Li, Changpin
1 Li, Lixiang
...and 76 more Authors

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