Edit Profile (opens in new tab) Khan, Ilyas Co-Author Distance Author ID: khan.ilyas Published as: Khan, Ilyas; Khan, I. Documents Indexed: 105 Publications since 2004 Co-Authors: 173 Co-Authors with 93 Joint Publications 3,133 Co-Co-Authors all top 5 Co-Authors 2 single-authored 20 Shafie, Sharidan 17 Ali, Farhad 12 Islam, Saeed 10 Sheikh, Nadeem Ahmad 10 Sooppy Nisar, Kottakkaran 8 Saqib, Muhammad 7 Ahmad, Riaz 7 Khan, Muhammad Altaf 6 Alqahtani, Aisha M. 5 Abro, Kashif Ali 5 Bary, Ghulam 5 Gul, Taza 4 Ahmed, Waqar 4 Asjad, Muhammad Imran 4 Ching, Dennis Ling Chuan 4 Hamadneh, Nawaf N. 4 Tassaddiq, Asifa 3 Ahmed, Nauman 3 Alharbi, Sayer Obaid 3 Alotaibi, Hammad 3 Andualem, Mulugeta 3 Fiza, Mehreen 3 Ganie, Abdul Hamid 3 Hussain, Amjad 3 Mohamed, Abdullah 3 Mousa, Abd Allah A. 3 Murtaza, Saqib 3 Qasim, Muhammad 3 Sajid, Muhammad 3 Singh, Jagdev 2 Abdelhameed, Tarek Nabil Ahmed 2 Abdulhameed, M. 2 Abdullah Alkanhal, Tawfeeq 2 Ahmad, Zubair 2 Al-Johani, Amnah S. 2 Aleem, Maryam 2 Alsubie, Abdelaziz Q. 2 Băleanu, Dumitru I. 2 Bhatti, Kaleemullah 2 bin Sakidin, Hamzah 2 Dennis, L. C. C. 2 Fakhar, Kamran 2 Farooqi, Asma 2 Farooqi, Rashada 2 Fayz-Al-Asad, Md. 2 Haq, Sami Ul 2 Huang, Duohui 2 Ismail, Zulkhibri 2 Khalid, Asma 2 Khan, Naveed Ahmad 2 Khan, Sher Afzal 2 Khan, Waris 2 Kumam, Poom 2 Kumar, Devendra 2 Memon, Abid A. 2 Memon, M. Asif 2 Rasheed, Haroon Ur 2 Raza, Ali Hassan 2 Riaz, Muhammad Bilal 2 Saddiq, Syed Farasat 2 Sarfraz, Naqash 2 Shaikh, Gul M. 2 Tlili, Iskander 2 Ullah, Hakeem 1 Abbas, Naseem 1 Abouzaid, Moheb Saad 1 Adel, Waleed 1 Afridi, Muhammad Idrees 1 Ahmad, Daud 1 Ahmad, Farooq 1 Ahmad, Muhammad Ozair 1 Ahmed, Munshoor 1 Ahmed, Naveed 1 Akbar, Khalid 1 Al-Hartomy, Omar A. 1 Al-khedhairi, Abdulrahman 1 Al-Mdallal, Qasem M. 1 Alhussain, Ziyad Ali 1 Ali, Gohar 1 Ali, Javaid 1 Ali, Mubasher 1 Ali, Rizwan 1 Ali, Umair 1 Alklaibi, A. M. 1 Almatroud, A. Othman 1 Almuqrin, Muqrin A. 1 Alshammari, Nawa Awad 1 Alzahrani, Jawaher H. 1 Aman, Sidra 1 Amin, Rohul 1 Ananth, S. P. V. 1 Anwar, Haris 1 Anwar, Muhammad Imran 1 Anwar, Talha 1 Asif, Muhammad 1 Awais, Muhammad 1 Badshah, Qaisar 1 Basit, Muhammad Abdul 1 Batool, Safeera 1 Dubey, Ved Prakash ...and 94 more Co-Authors all top 5 Serials 17 Fractals 14 Mathematical Problems in Engineering 9 Chaos, Solitons and Fractals 6 Abstract and Applied Analysis 6 Advances in Difference Equations 6 Symmetry 6 Journal of Mathematics 4 Journal of Function Spaces 2 Numerical Methods for Partial Differential Equations 2 Complexity 2 Journal of Inequalities and Applications 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Boundary Value Problems 2 Mathematical Modelling of Natural Phenomena 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 1 Computers & Mathematics with Applications 1 Physica A 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Opsearch 1 Applied Mathematics and Mechanics. (English Edition) 1 International Journal of Computer Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Chaos 1 Journal of Applied Mathematics 1 Journal of the Indonesian Mathematical Society 1 Arabian Journal for Science and Engineering 1 Pakistan Journal of Statistics and Operation Research 1 International Journal of Advances in Applied Mathematics and Mechanics 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 AIMS Mathematics all top 5 Fields 63 Fluid mechanics (76-XX) 37 Partial differential equations (35-XX) 21 Real functions (26-XX) 19 Classical thermodynamics, heat transfer (80-XX) 14 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 11 Biology and other natural sciences (92-XX) 8 Mechanics of deformable solids (74-XX) 7 Integral transforms, operational calculus (44-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Quantum theory (81-XX) 3 Special functions (33-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 320 times in 237 Documents Cited by ▼ Year ▼ Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate. Zbl 1405.76065Abro, K. A.; Khan, I.; Tassaddiq, A. 27 2018 Global dynamics of SEIRS epidemic model with non-linear generalized incidences and preventive vaccination. Zbl 1345.92145Khan, Muhammad Altaf; Badshah, Qaisar; Islam, Saeed; Khan, Ilyas; Shafie, Sharidan; Khan, Sher Afzal 22 2015 Analytical solutions of fractional Walter’s B fluid with applications. Zbl 1398.76211Al-Mdallal, Qasem; Abro, Kashif Ali; Khan, Ilyas 15 2018 Exact solutions for unsteady free convection flow of Casson fluid over an oscillating vertical plate with constant wall temperature. Zbl 1356.35179Khalid, Asma; Khan, Ilyas; Shafie, Sharidan 13 2015 A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions. Zbl 1442.76144Imran, M. A.; Aleem, Maryam; Riaz, M. B.; Ali, Rizwan; Khan, Ilyas 12 2019 Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana-Baleanu fractional model. Zbl 1489.80003Tassaddiq, Asifa; Khan, I.; Nisar, K. S. 12 2020 Engine oil based generalized Brinkman-type nano-liquid with molybdenum disulphide nanoparticles of spherical shape: Atangana-Baleanu fractional model. Zbl 1407.76113Jan, Syed Aftab Alam; Ali, Farhad; Sheikh, Nadeem Ahmad; Khan, Ilyas; Saqib, Muhammad; Gohar, Madeha 12 2018 Application of Atangana-Baleanu fractional derivative to MHD channel flow of CMC-based-CNT’s nanofluid through a porous medium. Zbl 1442.76151Saqib, Muhammad; Khan, Ilyas; Shafie, Sharidan 11 2018 An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences. Zbl 1487.65116Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra; Khan, Ilyas; Singh, Jagdev 11 2020 Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel. Zbl 1482.35257Veeresha, P.; Prakasha, D. G.; Singh, Jagdev; Khan, Ilyas; Kumar, Devendra 11 2020 Solutions with Wright function for time fractional free convection flow of Casson fluid. Zbl 1390.35253Ali, Farhad; Sheikh, Nadeem Ahmad; Khan, Ilyas; Saqib, Muhammad 11 2017 Effect of fractional derivatives on transient MHD flow and radiative heat transfer in a micro-parallel channel at high zeta potentials. Zbl 1514.76116Abdulhameed, M.; Muhammad, M. M.; Gital, A. Y.; Yakubu, D. G.; Khan, I. 10 2019 A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension. Zbl 1064.65066Khan, A.; Khan, I.; Aziz, T.; Stojanovic, M. 9 2004 New idea of Atangana and Baleanu fractional derivatives to human blood flow in nanofluids. Zbl 1406.76095Khan, Ilyas 9 2019 Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms. Zbl 1458.35459Saqib, Muhammad; Khan, Ilyas; Shafie, Sharidan 8 2019 An exact analysis of heat and mass transfer past a vertical plate with Newtonian heating. Zbl 1271.80003Hussanan, Abid; Khan, Ilyas; Shafie, Sharidan 7 2013 Chaotic dynamics and chaos control for the fractional-order geomagnetic field model. Zbl 1483.86010Al-khedhairi, A.; Matouk, A. E.; Khan, I. 7 2019 Fractional order forced convection carbon nanotube nanofluid flow passing over a thin needle. Zbl 1423.82049Gul, Taza; Khan, Muhammad Altaf; Noman, Waqas; Khan, Ilyas; Abdullah Alkanhal, Tawfeeq; Tlili, Iskander 6 2019 Effects of wall shear stress on MHD conjugate flow over an inclined plate in a porous medium with ramped wall temperature. Zbl 1407.76176Khan, Arshad; Khan, Ilyas; Ali, Farhad; Shafie, Sharidan 6 2014 Prevention of leptospirosis infected vector and human population by multiple control variables. Zbl 1474.92063Khan, Muhammad Altaf; Islam, Saeed; Khan, Sher Afzal; Khan, Ilyas; Shafie, Sharidan; Gul, Taza 6 2014 Applications of fractional derivatives to nanofluids: exact and numerical solutions. Zbl 1405.76062Aman, Sidra; Khan, Ilyas; Ismail, Zulkhibri; Salleh, Mohd Zuki 5 2018 Dynamic behavior of leptospirosis disease with saturated incidence rate. Zbl 1420.92107Khan, Muhammad Altaf; Saddiq, Syed Farasat; Islam, Saeed; Khan, Ilyas; Shafie, Sharidan 5 2016 Stability analysis of an SEIR epidemic model with non-linear saturated incidence and temporary immunity. Zbl 1359.93395Khan, Muhammad Altaf; Wahid, Abdul; Islam, Saeed; Khan, Ilyas; Shafie, Sharidan; Gul, Taza 5 2015 Heat transfer analysis in ethylene glycol based molybdenum disulfide generalized nanofluid via Atangana-Baleanu fractional derivative approach. Zbl 1448.80007Ali, Farhad; Saqib, Muhammad; Khan, Ilyas; Sheikh, Nadeem Ahmad 5 2019 Unsteady free convection flow in a Walters’-B fluid and heat transfer analysis. Zbl 1291.76035Khan, Ilyas; Ali, Farhad; Shafie, Sharidan; Qasim, Muhammad 4 2014 New exact solutions for an Oldroyd-B fluid in a porous medium. Zbl 1217.76073Khan, I.; Imran, M.; Fakhar, K. 4 2011 The boundedness of commutators of rough \(p\)-adic fractional Hardy type operators on Herz-type spaces. Zbl 1504.42078Hussain, Amjad; Sarfraz, Naqash; Khan, Ilyas; Alsubie, Abdelaziz; Hamadneh, Nawaf N. 4 2021 Atangana-Baleanu fractional model for the flow of Jeffrey nanofluid with diffusion-thermo effects: applications in engine oil. Zbl 1485.76082Ali, Farhad; Murtaza, Saqib; Khan, Ilyas; Sheikh, Nadeem Ahmad; Nisar, Kottakkaran Sooppy 4 2019 Heat transfer analysis of generalized Jeffery nanofluid in a rotating frame: Atangana-Balaenu and Caputo-Fabrizio fractional models. Zbl 1448.76183Ali, Farhad; Murtaza, Saqib; Sheikh, Nadeem Ahmad; Khan, Ilyas 4 2019 Optical solitons of fractional complex Ginzburg-Landau equation with conformable, beta, and M-truncated derivatives: a comparative study. Zbl 1486.35427Hussain, Amjad; Jhangeer, Adil; Abbas, Naseem; Khan, Ilyas; Sherif, El-Syed M. 4 2020 Epidemic model of leptospirosis containing fractional order. Zbl 1449.92044Khan, Muhammad Altaf; Saddiq, S. F.; Islam, Saeed; Khan, Ilyas; Ching, Dennis Ling Chuan 4 2014 Estimates for commutators of bilinear fractional \(p\)-adic Hardy operator on Herz-type spaces. Zbl 1480.42029Hussain, Amjad; Sarfraz, Naqash; Khan, Ilyas; Alqahtani, Aisha M. 4 2021 Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally. Zbl 1515.76169Waqas, Hassan; Imran, Muhammad; Hussain, Sajjad; Ahmad, Farooq; Khan, Ilyas; Nisar, Kottakkaran Sooppy; Almatroud, A. Othman 4 2020 Heat and mass transfer with free convection MHD flow past a vertical plate embedded in a porous medium. Zbl 1296.76174Ali, Farhad; Khan, Ilyas; Shafie, Sharidan; Musthapa, Norzieha 3 2013 On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects. Zbl 1217.76085Fakhar, K.; Kara, A. H.; Khan, I.; Sajid, M. 3 2011 Cattaneo-Christov heat flux model for three-dimensional rotating flow of SWCNT and MWCNT nanofluid with Darcy-Forchheimer porous medium induced by a linearly stretchable surface. Zbl 1423.76502Shah, Zahir; Tassaddiq, Asifa; Islam, Saeed; Alklaibi, A. M.; Khan, Ilyas 3 2019 Fractional integral inequalities involving Marichev-Saigo-Maeda fractional integral operator. Zbl 1503.26078Tassaddiq, Asifa; Khan, Aftab; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Abouzaid, Moheb Saad; Khan, Ilyas 3 2020 Mathematical and statistical analysis of RL and RC fractional-order circuits. Zbl 07468612Sheikh, Nadeem Ahmad; Ching, Dennis Ling Chuan; Ullah, Sami; Khan, Ilyas 3 2020 The role of Fox-H function in analytic and fractional modeling of helicity of cylinder: fractional generalized Burger fluid. Zbl 1482.76005Abro, Kashif Ali; Khan, Ilyas; Sooppy Nisar, Kottakkaran 3 2020 MHD influence on different water based nanofluids \((\text{TiO}_2,\text{Al}_2\text{O}_3,\text{CuO})\) in porous medium with chemical reaction and Newtonian heating. Zbl 1489.82103Aleem, Maryam; Asjad, Muhammad Imran; Shaheen, Aqila; Khan, Ilyas 3 2020 MHD flow of fractional Newtonian fluid embedded in a porous medium via Atangana-Baleanu fractional derivatives. Zbl 1434.76145Abro, Kashif Ali; Khan, Ilyas 3 2020 Heat transfer and mass diffusion in nanofluids over a moving permeable convective surface. Zbl 1296.76141Qasim, Muhammad; Khan, Ilyas; Shafie, Sharidan 2 2013 Integer and non-integer order study of the GO-W/GO-EG nanofluids flow by means of Marangoni convection. Zbl 1425.35152Gul, Taza; Anwar, Haris; Khan, Muhammad Altaf; Khan, Ilyas; Kumam, Poom 2 2019 Influence of thermal radiation on unsteady free convection MHD flow of Brinkman type fluid in a porous medium with Newtonian heating. Zbl 1299.76297Ali, Farhad; Khan, Ilyas; Haq, Sami Ul; Shafie, Sharidan 2 2013 MHD flow of micropolar fluid over an oscillating vertical plate embedded in porous media with constant temperature and concentration. Zbl 1426.76752Sheikh, Nadeem Ahmad; Ali, Farhad; Khan, Ilyas; Saqib, Muhammad; Khan, Arshad 2 2017 Use of Atangana-Baleanu fractional derivative in helical flow of a circular pipe. Zbl 1508.35055Abro, Kashif Ali; Khan, Ilyas; Sooppy Nisar, Kottakkaran 2 2020 Dynamics of cooperative reactions based on chemical kinetics with reaction speed: a comparative analysis with singular and nonsingular kernels. Zbl 1492.34045Ahmad, Zubair; Ali, Farhad; Alqahtani, Aisha M.; Khan, Naveed; Khan, Ilyas 2 2022 Atangana-Baleanu fractional model for electro-osmotic flow of viscoelastic fluids. Zbl 1448.76182Ali, Farhad; Iftikhar, Muhammad; Khan, Ilyas; Sheikh, Nadeem Ahmad 2 2019 Structure preserving numerical analysis of HIV and CD4+T-cells reaction diffusion model in two space dimensions. Zbl 1490.92002Ahmed, Nauman; Rafiq, Muhammad; Adel, Waleed; Rezazadeh, Hadi; Khan, Ilyas; Nisar, Kottakkaran Sooppy 2 2020 Heat and mass transfer of fractional second grade fluid with slippage and ramped wall temperature using Caputo-Fabrizio fractional derivative approach. Zbl 1484.76006Haq, Sami Ul; Jan, Saeed Ullah; Shah, Syed Inayat Ali; Khan, Ilyas; Singh, Jagdev 2 2020 Approximate solution of two-dimensional nonlinear wave equation by optimal homotopy asymptotic method. Zbl 1394.65125Ullah, H.; Islam, S.; Dennis, L. C. C.; Abdelhameed, T. N.; Khan, I.; Fiza, M. 2 2015 Influence of slip condition on unsteady free convection flow of viscous fluid with ramped wall temperature. Zbl 1433.76048Ul Haq, Sami; Khan, Ilyas; Ali, Farhad; Khan, Arshad; Abdelhameed, Tarek Nabil Ahmed 2 2015 An accurate predictor-corrector-type nonstandard finite difference scheme for an SEIR epidemic model. Zbl 1489.65111Farooqi, Asma; Ahmad, Riaz; Farooqi, Rashada; Alharbi, Sayer O.; Baleanu, Dumitru; Rafiq, Muhammad; Khan, Ilyas; Ahmad, M. O. 2 2020 On solving Atanassov’s I-fuzzy linear programming problems: some variants of Angelov’s model. Zbl 1360.90314Aggarwal, A.; Khan, I. 2 2016 New direction of Atangana-Baleanu fractional derivative with Mittag-Leffler kernel for non-Newtonian channel flow. Zbl 1437.35590Saqib, Muhammad; Khan, Ilyas; Shafie, Sharidan 2 2019 Numerical solution of non-Newtonian fluid flow due to rotatory rigid disk. Zbl 1425.76021Rehman, Khalil Ur; Malik, M. Y.; Khan, Waqar A.; Khan, Ilyas; Alharbi, S. O. 1 2019 Influence of thermal radiation on unsteady MHD free convection flow of Jeffrey fluid over a vertical plate with ramped wall temperature. Zbl 1400.76103Mohd Zin, Nor Athirah; Khan, Ilyas; Shafie, Sharidan 1 2016 An efficient analysis of difference equations with coherence fraction under the influence of boson interferometry. Zbl 1490.81127Bary, Ghulam; Ahmed, Waqar; Sajid, Muhammad; Ahmad, Riaz; Alotaibi, Hammad; Khan, Ilyas; Huang, Duohui; Liu, Futi 1 2022 Analysis of the flow of Brinkman-type nanofluid using generalized Fourier’s and Fick’s laws. Zbl 1496.35326Sheikh, Nadeem Ahmad; Ching, Dennis Ling Chuan; bin Sakidin, Hamzah; Khan, Ilyas 1 2022 Variationally improved Bézier surfaces with shifted knots. Zbl 07433525Ahmad, Daud; Hassan, Kanwal; Mahmood, M. Khalid; Ali, Javaid; Khan, Ilyas; Fayz-Al-Asad, M. 1 2021 Dyadic decomposition of convex domains of finite type and applications. Zbl 1487.32025Gan, Chun; Hu, Bingyang; Khan, Ilyas 1 2022 Generalization of the convective flow of Brinkman-type fluid using Fourier’s and Fick’s laws: exact solutions and entropy generation. Zbl 1459.76184Sheikh, Nadeem Ahmad; Ching, Dennis Ling Chuan; Khan, Ilyas; bin Sakidin, Hamzah 1 2020 Investigation of two-dimensional viscoelastic fluid with nonuniform heat generation over permeable stretching sheet with slip condition. Zbl 1432.76042Rasheed, Haroon Ur; Khan, Zeeshan; Islam, Saeed; Khan, Ilyas; Guirao, Juan L. G.; Khan, Waris 1 2019 Heat and mass transfer in unsteady MHD slip flow of Casson fluid over a moving wedge embedded in a porous medium in the presence of chemical reaction: numerical solutions using Keller-box method. Zbl 1407.76118Ullah, Imran; Khan, Ilyas; Shafie, Sharidan 1 2018 Study of heat transfer under the impact of thermal radiation, ramped velocity, and ramped temperature on the MHD Oldroyd-B fluid subject to noninteger differentiable operators. Zbl 1466.76050Saeed, Syed Tauseef; Khan, Ilyas; Riaz, Muhammad Bilal; Husnine, Syed Muhammad 1 2020 Closed-form solutions for accelerated MHD flow of a generalized Burgers’ fluid in a rotating frame and porous medium. Zbl 1315.35170Khan, Ilyas; Ali, Farhad; Mustapha, Norzieha; Shafie, Sharidan 1 2015 Channel flow of fractionalized H2O-based CNTs nanofluids with Newtonian heating. Zbl 1442.35494Khan, Ilyas; Saqib, Muhammad; Alqahtani, Aisha M. 1 2020 A new analytical approach to study chaos fraction characterization by using intensity interferometry. Zbl 1514.81285Bary, Ghulam; Ahmed, Waqar; Sajid, Muhammad; Ahmad, Riaz; Khan, Ilyas; Huang, Duohui; Wang, Yue 1 2021 A quantum fractals theory of the pions chaos and their futuristic applications with granular sources. Zbl 1504.81109Bary, Ghulam; Ahmed, Waqar; Ahmad, Riaz; Alshammari, Nawa; Hamadneh, Nawaf N.; Khan, Ilyas 1 2022 A new fractional-order stability analysis of SIR model for the transmission of Buruli disease: a biomedical application. Zbl 1504.34108Ahmad, Riaz; Farooqi, Asma; Farooqi, Rashada; Bary, Ghulam; Basit, Muhammad Abdul; Khan, Ilyas; Mohamed, Abdullah 1 2022 Dynamics of cooperative reactions based on chemical kinetics with reaction speed: a comparative analysis with singular and nonsingular kernels. Zbl 1492.34045Ahmad, Zubair; Ali, Farhad; Alqahtani, Aisha M.; Khan, Naveed; Khan, Ilyas 2 2022 An efficient analysis of difference equations with coherence fraction under the influence of boson interferometry. Zbl 1490.81127Bary, Ghulam; Ahmed, Waqar; Sajid, Muhammad; Ahmad, Riaz; Alotaibi, Hammad; Khan, Ilyas; Huang, Duohui; Liu, Futi 1 2022 Analysis of the flow of Brinkman-type nanofluid using generalized Fourier’s and Fick’s laws. Zbl 1496.35326Sheikh, Nadeem Ahmad; Ching, Dennis Ling Chuan; bin Sakidin, Hamzah; Khan, Ilyas 1 2022 Dyadic decomposition of convex domains of finite type and applications. Zbl 1487.32025Gan, Chun; Hu, Bingyang; Khan, Ilyas 1 2022 A quantum fractals theory of the pions chaos and their futuristic applications with granular sources. Zbl 1504.81109Bary, Ghulam; Ahmed, Waqar; Ahmad, Riaz; Alshammari, Nawa; Hamadneh, Nawaf N.; Khan, Ilyas 1 2022 A new fractional-order stability analysis of SIR model for the transmission of Buruli disease: a biomedical application. Zbl 1504.34108Ahmad, Riaz; Farooqi, Asma; Farooqi, Rashada; Bary, Ghulam; Basit, Muhammad Abdul; Khan, Ilyas; Mohamed, Abdullah 1 2022 The boundedness of commutators of rough \(p\)-adic fractional Hardy type operators on Herz-type spaces. Zbl 1504.42078Hussain, Amjad; Sarfraz, Naqash; Khan, Ilyas; Alsubie, Abdelaziz; Hamadneh, Nawaf N. 4 2021 Estimates for commutators of bilinear fractional \(p\)-adic Hardy operator on Herz-type spaces. Zbl 1480.42029Hussain, Amjad; Sarfraz, Naqash; Khan, Ilyas; Alqahtani, Aisha M. 4 2021 Variationally improved Bézier surfaces with shifted knots. Zbl 07433525Ahmad, Daud; Hassan, Kanwal; Mahmood, M. Khalid; Ali, Javaid; Khan, Ilyas; Fayz-Al-Asad, M. 1 2021 A new analytical approach to study chaos fraction characterization by using intensity interferometry. Zbl 1514.81285Bary, Ghulam; Ahmed, Waqar; Sajid, Muhammad; Ahmad, Riaz; Khan, Ilyas; Huang, Duohui; Wang, Yue 1 2021 Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana-Baleanu fractional model. Zbl 1489.80003Tassaddiq, Asifa; Khan, I.; Nisar, K. S. 12 2020 An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences. Zbl 1487.65116Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra; Khan, Ilyas; Singh, Jagdev 11 2020 Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel. Zbl 1482.35257Veeresha, P.; Prakasha, D. G.; Singh, Jagdev; Khan, Ilyas; Kumar, Devendra 11 2020 Optical solitons of fractional complex Ginzburg-Landau equation with conformable, beta, and M-truncated derivatives: a comparative study. Zbl 1486.35427Hussain, Amjad; Jhangeer, Adil; Abbas, Naseem; Khan, Ilyas; Sherif, El-Syed M. 4 2020 Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally. Zbl 1515.76169Waqas, Hassan; Imran, Muhammad; Hussain, Sajjad; Ahmad, Farooq; Khan, Ilyas; Nisar, Kottakkaran Sooppy; Almatroud, A. Othman 4 2020 Fractional integral inequalities involving Marichev-Saigo-Maeda fractional integral operator. Zbl 1503.26078Tassaddiq, Asifa; Khan, Aftab; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Abouzaid, Moheb Saad; Khan, Ilyas 3 2020 Mathematical and statistical analysis of RL and RC fractional-order circuits. Zbl 07468612Sheikh, Nadeem Ahmad; Ching, Dennis Ling Chuan; Ullah, Sami; Khan, Ilyas 3 2020 The role of Fox-H function in analytic and fractional modeling of helicity of cylinder: fractional generalized Burger fluid. Zbl 1482.76005Abro, Kashif Ali; Khan, Ilyas; Sooppy Nisar, Kottakkaran 3 2020 MHD influence on different water based nanofluids \((\text{TiO}_2,\text{Al}_2\text{O}_3,\text{CuO})\) in porous medium with chemical reaction and Newtonian heating. Zbl 1489.82103Aleem, Maryam; Asjad, Muhammad Imran; Shaheen, Aqila; Khan, Ilyas 3 2020 MHD flow of fractional Newtonian fluid embedded in a porous medium via Atangana-Baleanu fractional derivatives. Zbl 1434.76145Abro, Kashif Ali; Khan, Ilyas 3 2020 Use of Atangana-Baleanu fractional derivative in helical flow of a circular pipe. Zbl 1508.35055Abro, Kashif Ali; Khan, Ilyas; Sooppy Nisar, Kottakkaran 2 2020 Structure preserving numerical analysis of HIV and CD4+T-cells reaction diffusion model in two space dimensions. Zbl 1490.92002Ahmed, Nauman; Rafiq, Muhammad; Adel, Waleed; Rezazadeh, Hadi; Khan, Ilyas; Nisar, Kottakkaran Sooppy 2 2020 Heat and mass transfer of fractional second grade fluid with slippage and ramped wall temperature using Caputo-Fabrizio fractional derivative approach. Zbl 1484.76006Haq, Sami Ul; Jan, Saeed Ullah; Shah, Syed Inayat Ali; Khan, Ilyas; Singh, Jagdev 2 2020 An accurate predictor-corrector-type nonstandard finite difference scheme for an SEIR epidemic model. Zbl 1489.65111Farooqi, Asma; Ahmad, Riaz; Farooqi, Rashada; Alharbi, Sayer O.; Baleanu, Dumitru; Rafiq, Muhammad; Khan, Ilyas; Ahmad, M. O. 2 2020 Generalization of the convective flow of Brinkman-type fluid using Fourier’s and Fick’s laws: exact solutions and entropy generation. Zbl 1459.76184Sheikh, Nadeem Ahmad; Ching, Dennis Ling Chuan; Khan, Ilyas; bin Sakidin, Hamzah 1 2020 Study of heat transfer under the impact of thermal radiation, ramped velocity, and ramped temperature on the MHD Oldroyd-B fluid subject to noninteger differentiable operators. Zbl 1466.76050Saeed, Syed Tauseef; Khan, Ilyas; Riaz, Muhammad Bilal; Husnine, Syed Muhammad 1 2020 Channel flow of fractionalized H2O-based CNTs nanofluids with Newtonian heating. Zbl 1442.35494Khan, Ilyas; Saqib, Muhammad; Alqahtani, Aisha M. 1 2020 A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions. Zbl 1442.76144Imran, M. A.; Aleem, Maryam; Riaz, M. B.; Ali, Rizwan; Khan, Ilyas 12 2019 Effect of fractional derivatives on transient MHD flow and radiative heat transfer in a micro-parallel channel at high zeta potentials. Zbl 1514.76116Abdulhameed, M.; Muhammad, M. M.; Gital, A. Y.; Yakubu, D. G.; Khan, I. 10 2019 New idea of Atangana and Baleanu fractional derivatives to human blood flow in nanofluids. Zbl 1406.76095Khan, Ilyas 9 2019 Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms. Zbl 1458.35459Saqib, Muhammad; Khan, Ilyas; Shafie, Sharidan 8 2019 Chaotic dynamics and chaos control for the fractional-order geomagnetic field model. Zbl 1483.86010Al-khedhairi, A.; Matouk, A. E.; Khan, I. 7 2019 Fractional order forced convection carbon nanotube nanofluid flow passing over a thin needle. Zbl 1423.82049Gul, Taza; Khan, Muhammad Altaf; Noman, Waqas; Khan, Ilyas; Abdullah Alkanhal, Tawfeeq; Tlili, Iskander 6 2019 Heat transfer analysis in ethylene glycol based molybdenum disulfide generalized nanofluid via Atangana-Baleanu fractional derivative approach. Zbl 1448.80007Ali, Farhad; Saqib, Muhammad; Khan, Ilyas; Sheikh, Nadeem Ahmad 5 2019 Atangana-Baleanu fractional model for the flow of Jeffrey nanofluid with diffusion-thermo effects: applications in engine oil. Zbl 1485.76082Ali, Farhad; Murtaza, Saqib; Khan, Ilyas; Sheikh, Nadeem Ahmad; Nisar, Kottakkaran Sooppy 4 2019 Heat transfer analysis of generalized Jeffery nanofluid in a rotating frame: Atangana-Balaenu and Caputo-Fabrizio fractional models. Zbl 1448.76183Ali, Farhad; Murtaza, Saqib; Sheikh, Nadeem Ahmad; Khan, Ilyas 4 2019 Cattaneo-Christov heat flux model for three-dimensional rotating flow of SWCNT and MWCNT nanofluid with Darcy-Forchheimer porous medium induced by a linearly stretchable surface. Zbl 1423.76502Shah, Zahir; Tassaddiq, Asifa; Islam, Saeed; Alklaibi, A. M.; Khan, Ilyas 3 2019 Integer and non-integer order study of the GO-W/GO-EG nanofluids flow by means of Marangoni convection. Zbl 1425.35152Gul, Taza; Anwar, Haris; Khan, Muhammad Altaf; Khan, Ilyas; Kumam, Poom 2 2019 Atangana-Baleanu fractional model for electro-osmotic flow of viscoelastic fluids. Zbl 1448.76182Ali, Farhad; Iftikhar, Muhammad; Khan, Ilyas; Sheikh, Nadeem Ahmad 2 2019 New direction of Atangana-Baleanu fractional derivative with Mittag-Leffler kernel for non-Newtonian channel flow. Zbl 1437.35590Saqib, Muhammad; Khan, Ilyas; Shafie, Sharidan 2 2019 Numerical solution of non-Newtonian fluid flow due to rotatory rigid disk. Zbl 1425.76021Rehman, Khalil Ur; Malik, M. Y.; Khan, Waqar A.; Khan, Ilyas; Alharbi, S. O. 1 2019 Investigation of two-dimensional viscoelastic fluid with nonuniform heat generation over permeable stretching sheet with slip condition. Zbl 1432.76042Rasheed, Haroon Ur; Khan, Zeeshan; Islam, Saeed; Khan, Ilyas; Guirao, Juan L. G.; Khan, Waris 1 2019 Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate. Zbl 1405.76065Abro, K. A.; Khan, I.; Tassaddiq, A. 27 2018 Analytical solutions of fractional Walter’s B fluid with applications. Zbl 1398.76211Al-Mdallal, Qasem; Abro, Kashif Ali; Khan, Ilyas 15 2018 Engine oil based generalized Brinkman-type nano-liquid with molybdenum disulphide nanoparticles of spherical shape: Atangana-Baleanu fractional model. Zbl 1407.76113Jan, Syed Aftab Alam; Ali, Farhad; Sheikh, Nadeem Ahmad; Khan, Ilyas; Saqib, Muhammad; Gohar, Madeha 12 2018 Application of Atangana-Baleanu fractional derivative to MHD channel flow of CMC-based-CNT’s nanofluid through a porous medium. Zbl 1442.76151Saqib, Muhammad; Khan, Ilyas; Shafie, Sharidan 11 2018 Applications of fractional derivatives to nanofluids: exact and numerical solutions. Zbl 1405.76062Aman, Sidra; Khan, Ilyas; Ismail, Zulkhibri; Salleh, Mohd Zuki 5 2018 Heat and mass transfer in unsteady MHD slip flow of Casson fluid over a moving wedge embedded in a porous medium in the presence of chemical reaction: numerical solutions using Keller-box method. Zbl 1407.76118Ullah, Imran; Khan, Ilyas; Shafie, Sharidan 1 2018 Solutions with Wright function for time fractional free convection flow of Casson fluid. Zbl 1390.35253Ali, Farhad; Sheikh, Nadeem Ahmad; Khan, Ilyas; Saqib, Muhammad 11 2017 MHD flow of micropolar fluid over an oscillating vertical plate embedded in porous media with constant temperature and concentration. Zbl 1426.76752Sheikh, Nadeem Ahmad; Ali, Farhad; Khan, Ilyas; Saqib, Muhammad; Khan, Arshad 2 2017 Dynamic behavior of leptospirosis disease with saturated incidence rate. Zbl 1420.92107Khan, Muhammad Altaf; Saddiq, Syed Farasat; Islam, Saeed; Khan, Ilyas; Shafie, Sharidan 5 2016 On solving Atanassov’s I-fuzzy linear programming problems: some variants of Angelov’s model. Zbl 1360.90314Aggarwal, A.; Khan, I. 2 2016 Influence of thermal radiation on unsteady MHD free convection flow of Jeffrey fluid over a vertical plate with ramped wall temperature. Zbl 1400.76103Mohd Zin, Nor Athirah; Khan, Ilyas; Shafie, Sharidan 1 2016 Global dynamics of SEIRS epidemic model with non-linear generalized incidences and preventive vaccination. Zbl 1345.92145Khan, Muhammad Altaf; Badshah, Qaisar; Islam, Saeed; Khan, Ilyas; Shafie, Sharidan; Khan, Sher Afzal 22 2015 Exact solutions for unsteady free convection flow of Casson fluid over an oscillating vertical plate with constant wall temperature. Zbl 1356.35179Khalid, Asma; Khan, Ilyas; Shafie, Sharidan 13 2015 Stability analysis of an SEIR epidemic model with non-linear saturated incidence and temporary immunity. Zbl 1359.93395Khan, Muhammad Altaf; Wahid, Abdul; Islam, Saeed; Khan, Ilyas; Shafie, Sharidan; Gul, Taza 5 2015 Approximate solution of two-dimensional nonlinear wave equation by optimal homotopy asymptotic method. Zbl 1394.65125Ullah, H.; Islam, S.; Dennis, L. C. C.; Abdelhameed, T. N.; Khan, I.; Fiza, M. 2 2015 Influence of slip condition on unsteady free convection flow of viscous fluid with ramped wall temperature. Zbl 1433.76048Ul Haq, Sami; Khan, Ilyas; Ali, Farhad; Khan, Arshad; Abdelhameed, Tarek Nabil Ahmed 2 2015 Closed-form solutions for accelerated MHD flow of a generalized Burgers’ fluid in a rotating frame and porous medium. Zbl 1315.35170Khan, Ilyas; Ali, Farhad; Mustapha, Norzieha; Shafie, Sharidan 1 2015 Effects of wall shear stress on MHD conjugate flow over an inclined plate in a porous medium with ramped wall temperature. Zbl 1407.76176Khan, Arshad; Khan, Ilyas; Ali, Farhad; Shafie, Sharidan 6 2014 Prevention of leptospirosis infected vector and human population by multiple control variables. Zbl 1474.92063Khan, Muhammad Altaf; Islam, Saeed; Khan, Sher Afzal; Khan, Ilyas; Shafie, Sharidan; Gul, Taza 6 2014 Unsteady free convection flow in a Walters’-B fluid and heat transfer analysis. Zbl 1291.76035Khan, Ilyas; Ali, Farhad; Shafie, Sharidan; Qasim, Muhammad 4 2014 Epidemic model of leptospirosis containing fractional order. Zbl 1449.92044Khan, Muhammad Altaf; Saddiq, S. F.; Islam, Saeed; Khan, Ilyas; Ching, Dennis Ling Chuan 4 2014 An exact analysis of heat and mass transfer past a vertical plate with Newtonian heating. Zbl 1271.80003Hussanan, Abid; Khan, Ilyas; Shafie, Sharidan 7 2013 Heat and mass transfer with free convection MHD flow past a vertical plate embedded in a porous medium. Zbl 1296.76174Ali, Farhad; Khan, Ilyas; Shafie, Sharidan; Musthapa, Norzieha 3 2013 Heat transfer and mass diffusion in nanofluids over a moving permeable convective surface. Zbl 1296.76141Qasim, Muhammad; Khan, Ilyas; Shafie, Sharidan 2 2013 Influence of thermal radiation on unsteady free convection MHD flow of Brinkman type fluid in a porous medium with Newtonian heating. Zbl 1299.76297Ali, Farhad; Khan, Ilyas; Haq, Sami Ul; Shafie, Sharidan 2 2013 New exact solutions for an Oldroyd-B fluid in a porous medium. Zbl 1217.76073Khan, I.; Imran, M.; Fakhar, K. 4 2011 On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects. Zbl 1217.76085Fakhar, K.; Kara, A. H.; Khan, I.; Sajid, M. 3 2011 A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension. Zbl 1064.65066Khan, A.; Khan, I.; Aziz, T.; Stojanovic, M. 9 2004 all cited Publications top 5 cited Publications all top 5 Cited by 522 Authors 34 Khan, Ilyas 12 Khan, Muhammad Altaf 11 Băleanu, Dumitru I. 9 Riaz, Muhammad Bilal 8 Atangana, Abdon 8 Islam, Saeed 8 Shafie, Sharidan 7 Gómez-Aguilar, José Francisco 7 Kumam, Poom 7 Sooppy Nisar, Kottakkaran 6 Abro, Kashif Ali 6 Ali, Farhad 6 Jarad, Fahd 6 Saqib, Muhammad 6 Sheikh, Nadeem Ahmad 5 Ravichandran, Chokkalingam 5 Sarfraz, Naqash 4 Abdeljawad, Thabet 4 Alqahtani, Aisha M. 4 Asgir, Maryam 4 Asjad, Muhammad Imran 4 Aslam, Muhammad 4 Ghanbari, Behzad 4 Kumar, Sunil 4 Sene, Ndolane 4 Shah, Nehad Ali 4 Tassaddiq, Asifa 4 Ullah, Saif 4 Zafar, Azhar Ali 3 Abbas, Muhammad Mohsin 3 Ahmad, Riaz 3 Ahmad, Zubair 3 Akgül, Ali 3 Al-Mdallal, Qasem M. 3 Bary, Ghulam 3 Bernoussi, Amine 3 Ching, Dennis Ling Chuan 3 de la Sen, Manuel 3 Deniz, Sinan 3 Khalid, Asma 3 Khan, Yasir 3 Logeswari, K. 3 Makinde, Oluwole Daniel 3 Obsu, Legesse Lemecha 3 Qureshi, Sania 3 Saad, Khaled Mohammed 3 Sabir, Zulqurnain 3 Samet, Bessem 3 Singh, Jagdev 2 Abodayeh, Kamaleldin 2 Ahmad, Shabir 2 Ahmed, Waqar 2 Alderremy, A. A. 2 AlDhaifallah, Mujahed 2 Ali, Arshad 2 Ali, Umair 2 Alsharif, Abdullah M. 2 Anwar, Talha 2 Arif, Muhammad Shoaib 2 Awrejcewicz, Jan 2 Aydi, Hassen Mohamed 2 bin Sakidin, Hamzah 2 Boulaaras, Salah Mahmoud 2 Chinchane, Vaijanath Laxmanrao 2 Chu, Yuming 2 Dahmani, Zoubir 2 Elkhaiar, Soufiane 2 Elsadany, Abdelalim A. 2 Elsonbaty, Amr R. 2 Endalew, Mehari Fentahun 2 Escobar-Jiménez, Ricardo Fabricio 2 Farhan, Muhammad 2 Ganie, Abdul Hamid 2 Gul, Taza 2 Hussanan, Abid 2 Ibeas, Asier 2 Iftikhar, Nazish 2 Isa, Zaiton Mat 2 Jajarmi, Amin 2 Kasim, Abdul Rahman Mohd 2 Keno, Temesgen Duressa 2 Khan, Dolat 2 Khan, Mair 2 Khan, Waris 2 Kumar, Amit 2 Kumar, Devendra 2 Li, Tianzeng 2 Liao, Xiaozhong 2 Liaqat, Muhammad Imran 2 Lin, Da 2 Mamat, Mustafa Bin 2 Murtaza, Saqib 2 Nadeem, Sohail 2 Nale, Asha Babanrao 2 Nawaz, Yasir 2 Ndiaye, Seydou Nourou 2 Nieto Roig, Juan Jose 2 Panchal, Satish Kushaba 2 Panda, Sumati Kumari 2 Raja, Muhammad Asif Zahoor ...and 422 more Authors all top 5 Cited in 63 Serials 33 Chaos, Solitons and Fractals 26 Fractals 22 Advances in Difference Equations 12 Physica A 9 Mathematical Problems in Engineering 9 International Journal of Applied and Computational Mathematics 8 AIMS Mathematics 7 Mathematics and Computers in Simulation 6 Journal of Applied Mathematics 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Inequalities and Applications 5 Chaos 5 International Journal of Biomathematics 5 Journal of Function Spaces 4 Abstract and Applied Analysis 4 Mathematical Modelling of Natural Phenomena 4 Journal of Mathematics 3 Discrete Dynamics in Nature and Society 3 Journal of Biological Systems 3 Advances in Mathematical Physics 3 Symmetry 3 Journal of Applied Nonlinear Dynamics 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Applied Mathematics Letters 2 Complexity 2 Boundary Value Problems 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Physics Letters. A 1 International Journal of Mathematics and Mathematical Sciences 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Applied Numerical Mathematics 1 Applied Mathematical Modelling 1 The Journal of Analysis 1 Computational and Applied Mathematics 1 Differential Equations and Dynamical Systems 1 Fractional Calculus & Applied Analysis 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of the Indonesian Mathematical Society 1 International Journal of Computational Methods 1 Mathematical Biosciences and Engineering 1 The Journal of Prime Research in Mathematics 1 European Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Communications in Theoretical Physics 1 Journal of Applied Mathematics & Informatics 1 Analysis and Mathematical Physics 1 Arabian Journal for Science and Engineering 1 Journal of Mathematical Extension 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 Mathematical Sciences 1 International Journal of Advances in Applied Mathematics and Mechanics 1 Transactions of A. Razmadze Mathematical Institute all top 5 Cited in 31 Fields 85 Fluid mechanics (76-XX) 71 Ordinary differential equations (34-XX) 69 Real functions (26-XX) 66 Partial differential equations (35-XX) 61 Biology and other natural sciences (92-XX) 34 Classical thermodynamics, heat transfer (80-XX) 29 Numerical analysis (65-XX) 16 Statistical mechanics, structure of matter (82-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Special functions (33-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Integral transforms, operational calculus (44-XX) 8 Operator theory (47-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functional analysis (46-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year