New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model A Atangana, D Baleanu Thermal Science 20 (2), 763-769, 2016 | 3458 | 2016 |
Fractional calculus: models and numerical methods D Baleanu, K Diethelm, E Scalas, JJ Trujillo World Scientific, 2012 | 2991 | 2012 |
A new collection of real world applications of fractional calculus in science and engineering HG Sun, Y Zhang, D Baleanu, W Chen, YQ Chen Communications in Nonlinear Science and Numerical Simulation 64, 213-231, 2018 | 1346 | 2018 |
Fractional dynamics and control D Baleanu, JAT Machado, ACJ Luo Springer Science & Business Media, 2011 | 939 | 2011 |
New trends in nanotechnology and fractional calculus applications D Baleanu, ZB Güvenç, JAT Machado Springer 10, 978-90, 2010 | 890 | 2010 |
A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative D Baleanu, A Jajarmi, H Mohammadi, S Rezapour Chaos, Solitons & Fractals 134, 109705, 2020 | 656 | 2020 |
Local fractional integral transforms and their applications XJ Yang, D Baleanu, HM Srivastava Academic Press, 2015 | 564 | 2015 |
New properties of conformable derivative A Atangana, D Baleanu, A Alsaedi Open Mathematics 13 (1), 000010151520150081, 2015 | 559 | 2015 |
Discrete fractional logistic map and its chaos GC Wu, D Baleanu Nonlinear Dynamics 75, 283-287, 2014 | 519 | 2014 |
Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation RL Magin, O Abdullah, D Baleanu, XJ Zhou Journal of Magnetic Resonance 190 (2), 255-270, 2008 | 517 | 2008 |
Caputo-type modification of the Hadamard fractional derivatives F Jarad, T Abdeljawad, D Baleanu Advances in Difference Equations 2012, 1-8, 2012 | 455 | 2012 |
On a new class of fractional operators F Jarad, E Uğurlu, T Abdeljawad, D Baleanu Advances in Difference Equations 2017, 1-16, 2017 | 442 | 2017 |
Fractal heat conduction problem solved by local fractional variation iteration method XJ Yang, D Baleanu Vinca Inst Nuclear Sci, 2013 | 362 | 2013 |
Stability analysis of Caputo fractional-order nonlinear systems revisited H Delavari, D Baleanu, J Sadati Nonlinear Dynamics 67, 2433-2439, 2012 | 345 | 2012 |
A review of the Adomian decomposition method and its applications to fractional differential equations JS Duan, R Rach, D Baleanu, AM Wazwaz Communications in Fractional Calculus 3 (2), 73-99, 2012 | 334 | 2012 |
A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems OP Agrawal, D Baleanu Journal of Vibration and Control 13 (9-10), 1269-1281, 2007 | 334 | 2007 |
Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel T Abdeljawad, D Baleanu arXiv preprint arXiv:1607.00262, 2016 | 321 | 2016 |
Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer A Atangana, D Baleanu Journal of Engineering Mechanics 143 (5), D4016005, 2017 | 309 | 2017 |
On some new properties of fractional derivatives with Mittag-Leffler kernel D Baleanu, A Fernandez Communications in Nonlinear Science and Numerical Simulation 59, 444-462, 2018 | 304 | 2018 |
About Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives D Baleanu, SI Muslih International Design Engineering Technical Conferences and Computers and …, 2005 | 302 | 2005 |