| # | Title | Journal | Year | Citations |
|---|
| 1 | On Riemann and Caputo fractional differences | Computers and Mathematics With Applications | 2011 | 475 |
| 2 | Discrete fractional logistic map and its chaos | Nonlinear Dynamics | 2014 | 383 |
| 3 | Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation | Journal of Magnetic Resonance | 2008 | 375 |
| 4 | New Derivatives on the Fractal Subset of Real-Line | Entropy | 2016 | 315 |
| 5 | Context-Aware Computing, Learning, and Big Data in Internet of Things: A Survey | IEEE Internet of Things Journal | 2018 | 299 |
| 6 | On a new class of fractional operators | Advances in Difference Equations | 2017 | 266 |
| 7 | On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative | Chaos, Solitons and Fractals | 2018 | 262 |
| 8 | Stability analysis of Caputo fractional-order nonlinear systems revisited | Nonlinear Dynamics | 2012 | 252 |
| 9 | Caputo-type modification of the Hadamard fractional derivatives | Advances in Difference Equations | 2012 | 237 |
| 10 | On some new properties of fractional derivatives with Mittag-Leffler kernel | Communications in Nonlinear Science and Numerical Simulation | 2018 | 237 |
| 11 | Video fire detection – Review | | 2013 | 216 |
| 12 | A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator | Chaos | 2019 | 211 |
| 13 | Ammonia removal from anaerobically digested dairy manure by struvite precipitation | Process Biochemistry | 2005 | 210 |
| 14 | Adoption of e-government services in Turkey | Computers in Human Behavior | 2017 | 209 |
| 15 | Stability of edge states and edge magnetism in graphene nanoribbons | Physical Review B | 2011 | 198 |
| 16 | Fractional calculus: A survey of useful formulas | European Physical Journal: Special Topics | 2013 | 193 |
| 17 | A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws | International Journal of Heat and Mass Transfer | 2019 | 193 |
| 18 | On a Fractional Operator Combining Proportional and Classical Differintegrals | Mathematics | 2020 | 193 |
| 19 | Generalized fractional derivatives generated by a class of local proportional derivatives | European Physical Journal: Special Topics | 2017 | 192 |
| 20 | On Fractional Derivatives with Exponential Kernel and their Discrete Versions | Reports on Mathematical Physics | 2017 | 191 |
| 21 | Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel | Physica A: Statistical Mechanics and Its Applications | 2018 | 187 |
| 22 | New variable-order fractional chaotic systems for fast image encryption | Chaos | 2019 | 185 |
| 23 | On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law | Mathematical Methods in the Applied Sciences | 2020 | 177 |
| 24 | Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations | Chaos, Solitons and Fractals | 2017 | 176 |
| 25 | CD4+T-cells">A new fractional analysis on the interaction of HIV withCD4+T-cells | Chaos, Solitons and Fractals | 2018 | 174 |
| 26 | The Hamilton formalism with fractional derivatives | Journal of Mathematical Analysis and Applications | 2007 | 169 |
| 27 | An experimental investigation on the impact response of composite materials | International Journal of Impact Engineering | 2012 | 165 |
| 28 | Hamiltonian formulation of systems with linear velocities within Riemann–Liouville fractional derivatives | Journal of Mathematical Analysis and Applications | 2005 | 164 |
| 29 | Measuring anxiety related to COVID-19: A Turkish validation study of the Coronavirus Anxiety Scale | Death Studies | 2022 | 164 |
| 30 | Fractional modeling of blood ethanol concentration system with real data application | Chaos | 2019 | 162 |
| 31 | A Central Difference Numerical Scheme for Fractional Optimal Control Problems | JVC/Journal of Vibration and Control | 2009 | 161 |
| 32 | Testing for unit root in nonlinear heterogeneous panels | Economics Letters | 2009 | 150 |
| 33 | Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels | Advances in Difference Equations | 2016 | 150 |
| 34 | On the global existence of solutions to a class of fractional differential equations | Computers and Mathematics With Applications | 2010 | 148 |
| 35 | A new fractional modelling and control strategy for the outbreak of dengue fever | Physica A: Statistical Mechanics and Its Applications | 2019 | 148 |
| 36 | New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations | Chaos, Solitons and Fractals | 2019 | 148 |
| 37 | On Fractional Operators and Their Classifications | Mathematics | 2019 | 147 |
| 38 | Existence and uniqueness of a common fixed point on partial metric spaces | Applied Mathematics Letters | 2011 | 146 |
| 39 | A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence | Chaos | 2019 | 146 |
| 40 | An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets | Mathematics | 2020 | 145 |
| 41 | Some existence results on nonlinear fractional differential equations | Philosophical Transactions Series A, Mathematical, Physical, and Engineering Sciences | 2013 | 143 |
| 42 | Stability analysis of Caputo–like discrete fractional systems | Communications in Nonlinear Science and Numerical Simulation | 2017 | 141 |
| 43 | On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations | Boundary Value Problems | 2017 | 138 |
| 44 | A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative | Advances in Difference Equations | 2020 | 137 |
| 45 | Fractional hamilton formalism within caputo’s derivative | European Physical Journal D | 2006 | 136 |
| 46 | A survey on fuzzy fractional differential and optimal control nonlocal evolution equations | Journal of Computational and Applied Mathematics | 2018 | 134 |
| 47 | The degree of financial liberalization and aggregated stock-return volatility in emerging markets | Journal of Banking and Finance | 2010 | 132 |
| 48 | On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag–Leffler kernel | Nonlinear Dynamics | 2018 | 132 |
| 49 | Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative | Modern Physics Letters A | 2019 | 132 |
| 50 | A new stochastic computing paradigm for the dynamics of nonlinear singular heat conduction model of the human head | European Physical Journal Plus | 2018 | 131 |
