1,398
Journals
10.3K
Articles
213.7K
Citations
4.1K
Authors

Most Cited Articles of Fractional calculus

TitleJournalYearCitations
Diatomic Molecules According to the Wave Mechanics. II. Vibrational LevelsPhysical Review19293K
Applications of Fractional Calculus in Physics20002K
A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential EquationsNonlinear Dynamics20021.4K
The Analysis of Fractional Differential EquationsLecture Notes in Mathematics20101.4K
A new definition of fractional derivativeJournal of Computational and Applied Mathematics20141.4K
A Theoretical Basis for the Application of Fractional Calculus to ViscoelasticityJournal of Rheology19831.2K
Applications of Fractional Calculus to the Theory of ViscoelasticityJournal of Applied Mechanics, Transactions ASME1984985
Fractional Calculus and Waves in Linear Viscoelasticity2010981
Mittag–Leffler stability of fractional order nonlinear dynamic systemsAutomatica2009978
Analysis of Fractional Differential EquationsJournal of Mathematical Analysis and Applications2002955
Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stabilityComputers and Mathematics With Applications2010921
Recent history of fractional calculusCommunications in Nonlinear Science and Numerical Simulation2011899
On conformable fractional calculusJournal of Computational and Applied Mathematics2015847
Fractional calculus - A different approach to the analysis of viscoelastically damped structuresAIAA Journal1983823
Approximate analytical solution for seepage flow with fractional derivatives in porous mediaComputer Methods in Applied Mechanics and Engineering1998815
On the Appearance of the Fractional Derivative in the Behavior of Real MaterialsJournal of Applied Mechanics, Transactions ASME1984774
Lyapunov functions for fractional order systemsCommunications in Nonlinear Science and Numerical Simulation2014748
Advances in Fractional Calculus2007744
Fractional Calculus2012724
Tuning and auto-tuning of fractional order controllers for industry applicationsControl Engineering Practice2008664
Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of SolidsApplied Mechanics Reviews1997615
Formulation of Euler–Lagrange equations for fractional variational problemsJournal of Mathematical Analysis and Applications2002608
A new collection of real world applications of fractional calculus in science and engineeringCommunications in Nonlinear Science and Numerical Simulation2018596
Basic theory of fractional differential equationsNonlinear Analysis: Theory, Methods & Applications2008590