Mathematical Problems in EngineeringTheory, Methods and Applications Short Title: Math. Probl. Eng. Publisher: Hindawi, New York, NY ISSN: 1024-123X; 1563-5147/e Online: http://www.hindawi.com/journals/mpe/contentshttp://www.emis.de/journals/HOA/MPE/index.html Comments: Journal; No longer indexed; The coverage of this journal is based on the electronic edition, bibliographic data of the print version may differ. This journal is available open access. Documents Indexed: 8,110 Publications (1995–2022) References Indexed: 7,448 Publications with 214,513 References. all top 5 Latest Issues 2022 (2022) 2021 (2021) 2020 (2020) 2019 (2019) 2018 (2018) 2017 (2017) 2016 (2016) 2015 (2015) 2014 (2014) 2013 (2013) 2012 (2012) 2011 (2011) 2010 (2010) 2009 (2009) 2008 (2008) 2007, Spec. Issue (2007) 2007 (2007) 2006, No. 7 (2006) 2006, No. 6 (2006) 2006, No. 4 (2006) 2006, No. 3 (2006) 2006, No. 2 (2006) 2006, No. 1 (2006) 2006, Spec. 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M. 9 Wang, Bo 9 Wang, Jian 9 Wang, Yuping 8 Andrianov, Igor Vasil’evich 8 Băleanu, Dumitru I. 8 Boukas, El-Kébir 8 Chen, Shengyong 8 Doungmo Goufo, Emile Franc 8 Filasová, Anna 8 Hashim, Ishak 8 Ibrahim, Zarina Bibi Binti 8 Jiang, Guoping 8 Krokavec, Dusan 8 Kwon, Ohmin 8 Lim, Jong-Tae 8 Noor, Muhammad Aslam 8 Peng, Haipeng 8 Razzaghi, Mohsen 8 Shen, Lincheng 8 Tadeo, Fernando 8 Wang, Bin 8 Yang, Bin 7 Abo-Dahab, Sayed M. 7 Aguilar-Ibáñez, Carlos Fernando 7 Ali, Farhad 7 Cao, Jinde 7 Cha, E. J. 7 Chen, Wufan 7 Da Silva Fernandes, Sandro 7 De Jesús Rubio, José 7 Deng, Jiamei 7 Dudin, Alexander N. 7 Elías-Zúñiga, Alex 7 Feng, Xiangchu 7 He, Bin 7 Hou, Ting 7 Hussain, Azad ...and 17,319 more Authors all top 5 Fields 2,159 Systems theory; control (93-XX) 1,565 Operations research, mathematical programming (90-XX) 995 Numerical analysis (65-XX) 843 Mechanics of deformable solids (74-XX) 813 Ordinary differential equations (34-XX) 794 Information and communication theory, circuits (94-XX) 647 Fluid mechanics (76-XX) 622 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 566 Computer science (68-XX) 560 Statistics (62-XX) 488 Partial differential equations (35-XX) 413 Mechanics of particles and systems (70-XX) 331 Biology and other natural sciences (92-XX) 326 Probability theory and stochastic processes (60-XX) 253 Dynamical systems and ergodic theory (37-XX) 176 Calculus of variations and optimal control; optimization (49-XX) 176 Classical thermodynamics, heat transfer (80-XX) 127 Combinatorics (05-XX) 102 Optics, electromagnetic theory (78-XX) 90 Linear and multilinear algebra; matrix theory (15-XX) 84 Geophysics (86-XX) 79 Real functions (26-XX) 77 Integral equations (45-XX) 53 Operator theory (47-XX) 39 Difference and functional equations (39-XX) 39 Statistical mechanics, structure of matter (82-XX) 34 Approximations and expansions (41-XX) 31 Mathematical logic and foundations (03-XX) 28 Special functions (33-XX) 27 Differential geometry (53-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 26 Quantum theory (81-XX) 22 General topology (54-XX) 18 Measure and integration (28-XX) 15 Number theory (11-XX) 14 Functions of a complex variable (30-XX) 12 Integral transforms, operational calculus (44-XX) 9 Convex and discrete geometry (52-XX) 8 Functional analysis (46-XX) 6 Algebraic geometry (14-XX) 6 Group theory and generalizations (20-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Astronomy and astrophysics (85-XX) 3 Commutative algebra (13-XX) 3 Potential theory (31-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,031 Publications have been cited 14,428 times in 11,503 Documents Cited by ▼ Year ▼ Theory and computation of disturbance invariant sets for discrete-time linear systems. Zbl 0923.93005 Kolmanovsky, Ilya; Gilbert, Elmer G. 137 1998 A review of definitions for fractional derivatives and integral. Zbl 1407.26013 de Oliveira, Edmundo Capelas; Tenreiro Machado, José António 111 2014 Fractal time series – A tutorial review. Zbl 1191.37002 Li, Ming 92 2010 Some applications of fractional calculus in engineering. Zbl 1191.26004 Tenreiro Machado, J. A.; Silva, Manuel F.; Barbosa, Ramiro S.; Jesus, Isabel S.; Reis, Cecília M.; Marcos, Maria G.; Galhano, Alexandra F. 83 2010 Analytical investigations of the Sudumu transform and applications to integral production equations. Zbl 1068.44001 Belgacem, Fethi bin Muhammed; Karaballi, Ahmed Abdullatif; Kalla, Shyam L. 80 2003 Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft. Zbl 0876.93014 Liu, Xinzhi; Willms, Allan R. 77 1996 The beta Gumbel distribution. Zbl 1068.62012 Nadarajah, Saralees; Kotz, Samuel 73 2004 Robust stabilization of nonlinear systems: The LMI approach. Zbl 0968.93075 Šiljak, D. D.; Stipanović, D. M. 57 2000 Data-driven adaptive observer for fault diagnosis. Zbl 1264.93115 Yin, Shen; Yang, Xuebo; Karimi, Hamid Reza 48 2012 A study of nonlinear fractional differential equations of arbitrary order with Riemann-Liouville type multistrip boundary conditions. Zbl 1296.34011 Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed 45 2013 Homotopy perturbation method for solving fourth-order boundary value problems. Zbl 1144.65311 Mohyud-Din, Syed Tauseef; Noor, Muhammad Aslam 45 2007 Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field. Zbl 1200.76024 Elshahed, Moustafa; Haroun, Mohamed H. 45 2005 Variational iteration method for fifth-order boundary value problems using He’s polynomials. Zbl 1151.65334 Noor, Muhammad Aslam; Mohyud-Din, Syed Tauseef 43 2008 Some relatively new techniques for nonlinear problems. Zbl 1184.35280 Mohyud-Din, Syed Tauseef; Noor, Muhammad Aslam; Noor, Khalida Inayat 41 2009 A finite difference solution of the regularized long-wave equation. Zbl 1200.76131 Kutluay, S.; Esen, A. 40 2006 Shannon wavelets theory. Zbl 1162.42314 Cattani, Carlo 39 2008 Fractals and hidden symmetries in DNA. Zbl 1189.92015 Cattani, Carlo 39 2010 Fractional order calculus: basic concepts and engineering applications. Zbl 1190.26002 Gutiérrez, Ricardo Enrique; Rosário, João Maurício; Tenreiro Machado, José 38 2010 Homotopy perturbation method for fractional Black-Scholes European option pricing equations using Sumudu transform. Zbl 1299.91179 Elbeleze, Asma Ali; Kılıçman, Adem; Taib, Bachok M. 37 2013 A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations. Zbl 1299.65297 Al-Smadi, Mohammed; Abu Arqub, Omar; Momani, Shaher 37 2013 Peristaltic motion of a Johnson-Segalman fluid in a planar channel. Zbl 1074.76003 Hayat, T.; Wang, Y.; Siddiqui, A. M.; Hutter, K. 37 2003 Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations. Zbl 1200.65112 Lakestani, M.; Razzaghi, M.; Dehghan, M. 37 2006 Uncertainty quantification in control problems for flocking models. Zbl 1394.93074 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 36 2015 Stability of fractional order systems. Zbl 1296.93172 Rivero, Margarita; Rogosin, Sergei V.; Machado, José A. Tenreiro; Trujillo, Juan J. 36 2013 Peristaltic transport of an Oldroyd-B fluid in a planar channel. Zbl 1083.76005 Hayat, T.; Wang, Y.; Hutter, K.; Asghar, S.; Siddiqui, A. M. 36 2004 Generalized \(S\)-procedure and finite frequency KYP lemma. Zbl 1056.93596 Iwasaki, Tetsuya; Meinsma, Gjerrit; Fu, Minyue 35 2000 Exact solution of impulse response to a class of fractional oscillators and its stability. Zbl 1202.34018 Li, Ming; Lim, S. C.; Chen, Shengyong 35 2011 The use of Adomian decomposition method for solving problems in calculus of variations. Zbl 1200.65050 Dehghan, Mehdi; Tatari, Mehdi 34 2006 Eigenvalues of boundary value problems for higher-order differential equations. Zbl 0921.34021 Wong, Patricia J. Y.; Agarwal, Ravi P. 33 1996 Improved generalized belief propagation for vision processing. Zbl 1202.94026 Chen, S. Y.; Tong, Hanyang; Wang, Zhongjie; Liu, Sheng; Li, Ming; Zhang, Beiwei 33 2011 Improved continuous models for discrete media. Zbl 1191.76102 Andrianov, I. V.; Awrejcewicz, J.; Weichert, D. 33 2010 Direct method for variational problems via hybrid of block-pulse and Chebyshev functions. Zbl 0987.65055 Razzaghi, Mohsen; Marzban, Hamid-Reza 32 2000 Chebyshev wavelet method for numerical solution of Fredholm integral equations of the first kind. Zbl 1192.65154 Adibi, Hojatollah; Assari, Pouria 31 2010 A comprehensive survey on particle swarm optimization algorithm and its applications. Zbl 1394.90588 Zhang, Yudong; Wang, Shuihua; Ji, Genlin 30 2015 Shannon wavelets for the solution of integrodifferential equations. Zbl 1191.65174 Cattani, Carlo 30 2010 On generalized fractional kinetic equations involving generalized Bessel function of the first kind. Zbl 1394.34018 Kumar, Dinesh; Purohit, S. D.; Secer, A.; Atangana, A. 29 2015 Chaos control of a fractional-order financial system. Zbl 1195.91185 Abd-Elouahab, Mohammed Salah; Hamri, Nasr-Eddine; Wang, Junwei 29 2010 Supply chain coordination with variable backorder, inspections, and discount policy for fixed lifetime products. Zbl 1400.90034 Sarkar, Biswajit 28 2016 Systems of Navier-Stokes equations on Cantor sets. Zbl 1299.76047 Yang, Xiao-Jun; Baleanu, Dumitru; Tenreiro Machado, J. A. 28 2013 Solution of fractional order system of Bagley-Torvik equation using evolutionary computational intelligence. Zbl 1382.34010 Raja, Muhammad Asif Zahoor; Khan, Junaid Ali; Qureshi, Ijaz Mansoor 28 2011 Application of the Cole-Hopf transformation for finding exact solutions to several forms of the seventh-order KdV equation. Zbl 1191.35236 Salas, Alvaro H.; S., Cesar A. Gómez 27 2010 Dynamical aspects of macroscopic and quantum transitions due to coherence function and time series events. Zbl 1191.35219 Bakhoum, Ezzat G.; Toma, Cristian 27 2010 Mathematical transform of traveling-wave equations and phase aspects of quantum interaction. Zbl 1191.35220 Bakhoum, Ezzat G.; Toma, Cristian 27 2010 Coupled fixed points for Meir-Keeler contractions in ordered partial metric spaces. Zbl 1264.54055 Abdeljawad, Thabet; Aydi, Hassen; Karapınar, Erdal 26 2012 On fractional order dengue epidemic model. Zbl 1407.92122 Al-Sulami, Hamed; El-Shahed, Moustafa; Nieto, Juan J.; Shammakh, Wafa 25 2014 Basic principles and practical applications of the Cahn-Hilliard equation. Zbl 1400.35157 Kim, Junseok; Lee, Seunggyu; Choi, Yongho; Lee, Seok-Min; Jeong, Darae 25 2016 Contractive mapping in generalized, ordered metric spaces with application in integral equations. Zbl 1235.54034 Gholizadeh, L.; Saadati, R.; Shatanawi, W.; Vaezpour, S. M. 25 2011 Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme. Zbl 1264.65140 Pan, Xintian; Zhang, Luming 25 2012 Markov models for image labeling. Zbl 1264.68189 Chen, S. Y.; Tong, Hanyang; Cattani, Carlo 25 2012 A gradient based iterative solutions for Sylvester tensor equations. Zbl 1299.65045 Chen, Zhen; Lu, Linzhang 24 2013 Modeling nonlinear dynamics and chaos: a review. Zbl 1180.37003 Aguirre, Luis A.; Letellier, Christophe 24 2009 Fractional calculus and Shannon wavelet. Zbl 1264.42016 Cattani, Carlo 24 2012 Burgers’ equation with nonlinear boundary feedback: \(H^1\) stability, well-posedness and simulation. Zbl 1058.93050 Balogh, Andras; Krstić, Miroslav 23 2000 Some results on fuzzy soft topological spaces. Zbl 1299.54019 Gunduz, Cigdem; Bayramov, Sadi 23 2013 New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method. Zbl 1217.65155 Bhrawy, A. H.; Abd-Elhameed, W. M. 23 2011 Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics. Zbl 1207.35262 Zayed, E. M. E.; Al-Joudi, Shorog 23 2010 Extension of matched asymptotic method to fractional boundary layers problems. Zbl 1407.34005 Atangana, Abdon; Doungmo Goufo, Emile Franc 22 2014 Legendre wavelets method for solving fractional population growth model in a closed system. Zbl 1296.65108 Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Li, Ming 22 2013 Stability results for switched linear systems with constant discrete delays. Zbl 1162.93393 de la Sen, M.; Ibeas, A. 22 2008 New Meir-Keeler type tripled fixed-point theorems on ordered partial metric spaces. Zbl 1264.54057 Aydi, Hassen; Karapınar, Erdal 22 2012 Global well-posedness and stability for a viscoelastic plate equation with a time delay. Zbl 1394.35535 Feng, Baowei 21 2015 One-phase problems for discontinuous heat transfer in fractal media. Zbl 1296.80006 Hu, Ming-Sheng; Baleanu, Dumitru; Yang, Xiao-Jun 21 2013 A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation. Zbl 1299.49043 Tohidi, Emran; Kılıçman, Adem 21 2013 Solution to the linear fractional differential equation using Adomian decomposition method. Zbl 1202.65108 Cheng, Jin-Fa; Chu, Yu-Ming 21 2011 On \(1/f\) noise. Zbl 1264.94060 Li, Ming; Zhao, Wei 21 2012 On the predictability of long-range dependent series. Zbl 1191.62160 Li, Ming; Li, Jia-Yue 21 2010 A novel numerical technique for two-dimensional laminar flow between two moving porous walls. Zbl 1195.76387 Makukula, Zodwa G.; Sibanda, Precious; Motsa, Sandile S. 21 2010 Numerical solution of fractional integro-differential equations by least squares method and shifted Chebyshev polynomial. Zbl 1407.65075 Mohammed, D. Sh. 20 2014 Retailer’s joint ordering, pricing, and preservation technology investment policies for a deteriorating item under permissible delay in payments. Zbl 1427.90023 Mishra, Umakanta; Tijerina-Aguilera, Jacobo; Tiwari, Sunil; Cárdenas-Barrón, Leopoldo Eduardo 20 2018 Bilevel programming and applications. Zbl 1394.90530 Kalashnikov, Vyacheslav V.; Dempe, Stephan; Pérez-Valdés, Gerardo A.; Kalashnykova, Nataliya I.; Camacho-Vallejo, José-Fernando 20 2015 The fractional SIRC model and influenza A. Zbl 1235.92033 El-Shahed, Moustafa; Alsaedi, Ahmed 20 2011 Specific mathematical aspects of dynamics generated by coherence functions. Zbl 1248.37075 Bakhoum, Ezzat G.; Toma, Cristian 20 2011 Analysis of nonlinear coupled systems of impulsive fractional differential equations with Hadamard derivatives. Zbl 1435.34016 Riaz, Usman; Zada, Akbar; Ali, Zeeshan; Ahmad, Manzoor; Xu, Jiafa; Fu, Zhengqing 20 2019 B-spline collocation methods for numerical solutions of the Burgers’ equation. Zbl 1200.76141 Dağ, İdris; Irk, Dursun; Şahin, Ali 20 2005 Pricing currency option in a mixed fractional Brownian motion with jumps environment. Zbl 1407.91257 Shokrollahi, Foad; Kılıçman, Adem 19 2014 On a time-fractional integrodifferential equation via three-point boundary value conditions. Zbl 1394.45014 Baleanu, Dumitru; Rezapour, Shahram; Etemad, Sina; Alsaedi, Ahmed 19 2015 Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method. Zbl 1400.35066 Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H.; Reyes, J. M.; Sosa, I. O. 19 2016 Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field. Zbl 1400.15009 Kyrchei, Ivan I. 19 2016 Nonlinear conjugate gradient methods with sufficient descent condition for large-scale unconstrained optimization. Zbl 1184.65066 Zhang, Jianguo; Xiao, Yunhai; Wei, Zengxin 19 2009 Reliability for some bivariate exponential distributions. Zbl 1200.74143 Nadarajah, Saralees; Kotz, Samuel 19 2006 A generalized and improved \((G'/G)\)-expansion method for nonlinear evolution equations. Zbl 1264.35078 Akbar, M. Ali; Ali, Norhashidah Hj. Mohd.; Zayed, E. M. E. 19 2012 Traffic dynamics on complex networks: a survey. Zbl 1264.90031 Chen, Shengyong; Huang, Wei; Cattani, Carlo; Altieri, Giuseppe 19 2012 Dynamical aspects of an equilateral restricted four-body problem. Zbl 1184.70008 Álvarez-Ramírez, Martha; Vidal, Claudio 19 2009 Using differential transform method and Padé approximant for solving MHD flow in a laminar liquid film from a horizontal stretching surface. Zbl 1191.76108 Rashidi, Mohammad Mehdi; Keimanesh, Mohammad 19 2010 Hopf bifurcation and hybrid control of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response. Zbl 1427.37069 Peng, Miao; Zhang, Zhengdi; Lim, C. W.; Wang, Xuedi 18 2018 Recent advances on recursive filtering and sliding mode design for networked nonlinear stochastic systems: a survey. Zbl 1299.93262 Hu, Jun; Wang, Zidong; Dong, Hongli; Gao, Huijun 18 2013 Solution of nonlinear space-time fractional differential equations using the fractional Riccati expansion method. Zbl 1299.35057 Abdel-Salam, Emad A.-B.; Yousif, Eltayeb A. 18 2013 Reliability for some bivariate gamma distributions. Zbl 1094.62132 Nadarajah, Saralees 18 2005 Existence of solutions and controllability of nonlinear integro-differential systems in Banach spaces. Zbl 1074.34057 Balachandran, K.; Park, J. Y. 18 2003 Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets. Zbl 1073.65568 Lakestani, M.; Razzaghi, M.; Dehghan, M. 18 2005 Applications of the Moore-Penrose inverse in digital image restoration. Zbl 1191.68778 Chountasis, Spiros; Katsikis, Vasilios N.; Pappas, Dimitrios 18 2009 Nonlinear dynamics and chaos in a fractional-order HIV model. Zbl 1181.37124 Ye, Haiping; Ding, Yongsheng 18 2009 Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method. Zbl 1245.76100 Domairry, G.; Aziz, A. 18 2009 Specific differential equations for generating pulse sequences. Zbl 1191.37052 Toma, Ghiocel 18 2010 Applying He’s variational iteration method for solving differential-difference equation. 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Zbl 1512.62100 Chen, Haijun; Tong, Yanzeng; Wu, Lifeng 1 2021 ...and 661 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 20,151 Authors 104 Băleanu, Dumitru I. 63 Hayat, Tasawar 55 Agarwal, Ravi P. 53 de la Sen, Manuel 49 Cattani, Carlo 47 Dehghan Takht Fooladi, Mehdi 41 Al-saedi, Ahmed Eid Salem 41 Karimi, Hamid Reza 39 Kiliçman, Adem 39 Li, Ming 39 Ntouyas, Sotiris K. 35 Rezapour, Shahram 34 Senu, Norazak 33 Mohyud-Din, Syed Tauseef 31 Atangana, Abdon 31 Cordeiro, Gauss Moutinho 31 O’Regan, Donal 29 Zhu, Quanxin 27 Ahmad, Bashir 27 Ali, Nasir 27 Bhrawy, Ali Hassan 27 Ismail, Fudziah Bt. 27 Momani, Shaher M. 26 Al-Smadi, Mohammed H. 25 Cao, Jinde 25 Tariboon, Jessada 25 Yang, Xiao-Jun 24 Abdeljawad, Thabet 24 Zhong, Shou-Ming 23 Mahmoud, Magdi Sadik Mostafa 22 Ali Akbar, M. 22 Chu, Yuming 22 Kim, Junseok 22 Kumam, Poom 22 Motsa, Sandile Sydney 22 Shateyi, Stanford 22 Sooppy Nisar, Kottakkaran 21 Akgül, Ali 21 Etemad, Sina 21 Machado, José António Tenreiro 21 Razzaghi, Mohsen 21 Wong, Patricia J. 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