Odibat, Zaid; Baleanu, Dumitru A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. (English) Zbl 07704432 Math. Comput. Simul. 212, 224-233 (2023). MSC: 26-XX 65-XX PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{D. Baleanu}, Math. Comput. Simul. 212, 224--233 (2023; Zbl 07704432) Full Text: DOI
Taleshian, Amir Hosein; Alipour, Mohsen; Babakhani, Azizollah; Baleanu, Dumitru Numerical investigation of ordinary and partial differential equations with variable fractional order by Bernstein operational matrix. (English) Zbl 1518.65079 Int. J. Appl. Comput. Math. 8, No. 6, Paper No. 277, 16 p. (2022). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{A. H. Taleshian} et al., Int. J. Appl. Comput. Math. 8, No. 6, Paper No. 277, 16 p. (2022; Zbl 1518.65079) Full Text: DOI
Sadri, Khadijeh; Hosseini, Kamyar; Baleanu, Dumitru; Ahmadian, Ali; Salahshour, Soheil Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel. (English) Zbl 1494.65104 Adv. Difference Equ. 2021, Paper No. 348, 26 p. (2021). MSC: 65R20 35R11 45K05 26A33 PDFBibTeX XMLCite \textit{K. Sadri} et al., Adv. Difference Equ. 2021, Paper No. 348, 26 p. (2021; Zbl 1494.65104) Full Text: DOI
Talib, Imran; Alam, Md. Nur; Baleanu, Dumitru; Zaidi, Danish; Marriyam, Ammarah A new integral operational matrix with applications to multi-order fractional differential equations. (English) Zbl 1484.34067 AIMS Math. 6, No. 8, 8742-8771 (2021). MSC: 34A45 34A08 65M99 PDFBibTeX XMLCite \textit{I. Talib} et al., AIMS Math. 6, No. 8, 8742--8771 (2021; Zbl 1484.34067) Full Text: DOI
Abdel Kader, Abass H.; Abdel Latif, Mohamed S.; Baleanu, Dumitru Some exact solutions of a variable coefficients fractional biological population model. (English) Zbl 1475.35345 Math. Methods Appl. Sci. 44, No. 6, 4701-4714 (2021). MSC: 35Q92 92D25 26A33 35R11 PDFBibTeX XMLCite \textit{A. H. Abdel Kader} et al., Math. Methods Appl. Sci. 44, No. 6, 4701--4714 (2021; Zbl 1475.35345) Full Text: DOI
Khan, Hassan; Shah, Rasool; Gómez-Aguilar, J. F.; Shoaib; Baleanu, Dumitru; Kumam, Poom Travelling waves solution for fractional-order biological population model. (English) Zbl 1469.92094 Math. Model. Nat. Phenom. 16, Paper No. 32, 24 p. (2021). MSC: 92D25 35C07 35R11 PDFBibTeX XMLCite \textit{H. Khan} et al., Math. Model. Nat. Phenom. 16, Paper No. 32, 24 p. (2021; Zbl 1469.92094) Full Text: DOI
Moghadam, Abolfazl Soltanpour; Arabameri, Maryam; Baleanu, Dumitru; Barfeie, Mahdiar Numerical solution of variable fractional order advection-dispersion equation using Bernoulli wavelet method and new operational matrix of fractional order derivative. (English) Zbl 1512.65316 Math. Methods Appl. Sci. 43, No. 7, 3936-3953 (2020). MSC: 65T60 35R11 26A33 11B68 PDFBibTeX XMLCite \textit{A. S. Moghadam} et al., Math. Methods Appl. Sci. 43, No. 7, 3936--3953 (2020; Zbl 1512.65316) Full Text: DOI
Fedorov, V. E.; Gordievskikh, D. M.; Baleanu, Dumitru; Taş, Kenan Criterion of the approximate controllability of a class of degenerate distributed systems with the Riemann-Liouville derivative. (Russian) Zbl 1438.93010 Mat. Zamet. SVFU 26, No. 2, 41-59 (2019). MSC: 93B05 93C15 93C25 34G10 34A08 PDFBibTeX XMLCite \textit{V. E. Fedorov} et al., Mat. Zamet. SVFU 26, No. 2, 41--59 (2019; Zbl 1438.93010) Full Text: DOI
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Baleanu, Dumitru Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations. (English) Zbl 1437.65057 Nonlinear Anal., Model. Control 24, No. 2, 176-188 (2019). MSC: 65L03 65D25 34A08 26A33 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Nonlinear Anal., Model. Control 24, No. 2, 176--188 (2019; Zbl 1437.65057) Full Text: DOI
Dokuyucu, Mustafa Ali; Baleanu, Dumitru; Çelik, Ercan Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative. (English) Zbl 1513.92009 Filomat 32, No. 16, 5633-5643 (2018). MSC: 92C17 35R11 33E12 PDFBibTeX XMLCite \textit{M. A. Dokuyucu} et al., Filomat 32, No. 16, 5633--5643 (2018; Zbl 1513.92009) Full Text: DOI
Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis. (English) Zbl 1503.35264 Physica A 493, 94-106 (2018). MSC: 35R11 35A30 35B06 35L71 PDFBibTeX XMLCite \textit{M. Inc} et al., Physica A 493, 94--106 (2018; Zbl 1503.35264) Full Text: DOI
Sayevand, K.; Tenreiro Machado, J.; Baleanu, D. A new glance on the Leibniz rule for fractional derivatives. (English) Zbl 1470.34027 Commun. Nonlinear Sci. Numer. Simul. 62, 244-249 (2018). MSC: 34A08 49S05 PDFBibTeX XMLCite \textit{K. Sayevand} et al., Commun. Nonlinear Sci. Numer. Simul. 62, 244--249 (2018; Zbl 1470.34027) Full Text: DOI
Alkhazzan, Abdulwasea; Jiang, Peng; Baleanu, Dumitru; Khan, Hasib; Khan, Aziz Stability and existence results for a class of nonlinear fractional differential equations with singularity. (English) Zbl 1406.34006 Math. Methods Appl. Sci. 41, No. 18, 9321-9334 (2018). MSC: 34A08 39B82 45N05 PDFBibTeX XMLCite \textit{A. Alkhazzan} et al., Math. Methods Appl. Sci. 41, No. 18, 9321--9334 (2018; Zbl 1406.34006) Full Text: DOI
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov-Kuznetsov equation. (English) Zbl 1418.35013 Nonlinear Anal., Model. Control 22, No. 6, 861-876 (2017). MSC: 35B06 35R11 35C05 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Nonlinear Anal., Model. Control 22, No. 6, 861--876 (2017; Zbl 1418.35013) Full Text: DOI
Al-Refai, Mohammed; Baleanu, Dumitru Estimates of higher order fractional derivatives at extreme points. (English) Zbl 1412.26003 J. Nonlinear Sci. Appl. 10, No. 10, 5174-5181 (2017). MSC: 26A33 PDFBibTeX XMLCite \textit{M. Al-Refai} and \textit{D. Baleanu}, J. Nonlinear Sci. Appl. 10, No. 10, 5174--5181 (2017; Zbl 1412.26003) Full Text: DOI
Sayevand, Khosro; Baleanu, Dumitru; Sahsavand, Fatemeh A novel difference schemes for analyzing the fractional Navier-Stokes equations. (English) Zbl 1413.65330 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 25, No. 1, 195-206 (2017). MSC: 65M06 35Q30 35R11 65M12 PDFBibTeX XMLCite \textit{K. Sayevand} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 25, No. 1, 195--206 (2017; Zbl 1413.65330) Full Text: DOI
Baleanu, Dumitru; Joseph, Claire; Mophou, Gisèle Low-regret control for a fractional wave equation with incomplete data. (English) Zbl 1419.93024 Adv. Difference Equ. 2016, Paper No. 240, 20 p. (2016). MSC: 93C23 35R11 49K20 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2016, Paper No. 240, 20 p. (2016; Zbl 1419.93024) Full Text: DOI
Alipour, Mohsen; Baleanu, Dumitru On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives. (English) Zbl 1389.60068 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 24, No. 3, 5-20 (2016). MSC: 60H10 34A08 33E12 PDFBibTeX XMLCite \textit{M. Alipour} and \textit{D. Baleanu}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 24, No. 3, 5--20 (2016; Zbl 1389.60068) Full Text: DOI
Jafari, Hossein; Kadkhoda, Nematollah; Baleanu, Dumitru Fractional Lie group method of the time-fractional Boussinesq equation. (English) Zbl 1348.35189 Nonlinear Dyn. 81, No. 3, 1569-1574 (2015). MSC: 35Q35 35R11 PDFBibTeX XMLCite \textit{H. Jafari} et al., Nonlinear Dyn. 81, No. 3, 1569--1574 (2015; Zbl 1348.35189) Full Text: DOI
Baleanu, Dumitru; Wu, Guo-Cheng; Duan, Jun-Sheng Some analytical techniques in fractional calculus: realities and challenges. (English) Zbl 1315.26004 Machado, José A. Tenreiro (ed.) et al., Discontinuity and complexity in nonlinear physical systems. Selected papers based on the presentations at the 4th international conference on nonlinear science and complexity, NSC, Budapest, Hungary, August 6–11, 2012. Cham: Springer (ISBN 978-3-319-01410-4/hbk; 978-3-319-01411-1/ebook). Nonlinear Systems and Complexity 6, 35-62 (2014). MSC: 26A33 34A08 35R11 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Nonlinear Syst. Complex. 6, 35--62 (2014; Zbl 1315.26004) Full Text: DOI
Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram Attractivity for a \(k\)-dimensional system of fractional functional differential equations and global attractivity for a \(k\)-dimensional system of nonlinear fractional differential equations. (English) Zbl 1314.34156 J. Inequal. Appl. 2014, Paper No. 31, 14 p. (2014). MSC: 34K37 34A08 34K25 PDFBibTeX XMLCite \textit{D. Baleanu} et al., J. Inequal. Appl. 2014, Paper No. 31, 14 p. (2014; Zbl 1314.34156) Full Text: DOI
Rabei, Eqab M.; Al-Jamel, A.; Widyan, H.; Baleanu, D. Comment on “Maxwell’s equations and electromagnetic Lagrangian density in fractional form” [J. Math. Phys. 53, 033505 (2012)]. (English) Zbl 1290.78003 J. Math. Phys. 55, No. 3, 034101, 2 p. (2014). MSC: 78A25 70S05 26A33 70S10 PDFBibTeX XMLCite \textit{E. M. Rabei} et al., J. Math. Phys. 55, No. 3, 034101, 2 p. (2014; Zbl 1290.78003) Full Text: DOI
Zhou, Wen-Xue; Chu, Yan-Dong; Băleanu, Dumitru Uniqueness and existence of positive solutions for a multi-point boundary value problem of singular fractional differential equations. (English) Zbl 1380.34024 Adv. Difference Equ. 2013, Paper No. 114, 11 p. (2013). MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{W.-X. Zhou} et al., Adv. Difference Equ. 2013, Paper No. 114, 11 p. (2013; Zbl 1380.34024) Full Text: DOI
Wang, Guotao; Liu, Sanyang; Baleanu, Dumitru; Zhang, Lihong Existence results for nonlinear fractional differential equations involving different Riemann-Liouville fractional derivatives. (English) Zbl 1375.34015 Adv. Difference Equ. 2013, Paper No. 280, 7 p. (2013). MSC: 34A08 34A12 34K37 PDFBibTeX XMLCite \textit{G. Wang} et al., Adv. Difference Equ. 2013, Paper No. 280, 7 p. (2013; Zbl 1375.34015) Full Text: DOI
Nyamoradi, Nemat; Baleanu, Dumitru; Agarwal, Ravi P. Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions. (English) Zbl 1375.34097 Adv. Difference Equ. 2013, Paper No. 266, 11 p. (2013). MSC: 34K10 34K37 47H10 PDFBibTeX XMLCite \textit{N. Nyamoradi} et al., Adv. Difference Equ. 2013, Paper No. 266, 11 p. (2013; Zbl 1375.34097) Full Text: DOI
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh Some existence results on nonlinear fractional differential equations. (English) Zbl 1342.34009 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120144, 7 p. (2013). MSC: 34A08 34B15 47N20 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120144, 7 p. (2013; Zbl 1342.34009) Full Text: DOI
Baleanu, Dumitru; Zahra Nazemi, Sayyedeh; Rezapour, Shahram The existence of positive solutions for a new coupled system of multiterm singular fractional integrodifferential boundary value problems. (English) Zbl 1294.45005 Abstr. Appl. Anal. 2013, Article ID 368659, 15 p. (2013). MSC: 45M20 45G05 45G15 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Abstr. Appl. Anal. 2013, Article ID 368659, 15 p. (2013; Zbl 1294.45005) Full Text: DOI
Băleanu, Dumitru; Mustafa, Octavian G.; O’Regan, Donal A uniqueness criterion for fractional differential equations with Caputo derivative. (English) Zbl 1268.34008 Nonlinear Dyn. 71, No. 4, 635-640 (2013). MSC: 34A08 34A12 PDFBibTeX XMLCite \textit{D. Băleanu} et al., Nonlinear Dyn. 71, No. 4, 635--640 (2013; Zbl 1268.34008) Full Text: DOI
Alipour, Mohsen; Baleanu, Dumitru Approximate analytical solution for nonlinear system of fractional differential equations by BPS operational matrices. (English) Zbl 1273.34004 Adv. Math. Phys. 2013, Article ID 954015, 9 p. (2013). MSC: 34A08 34A12 34A25 34A45 PDFBibTeX XMLCite \textit{M. Alipour} and \textit{D. Baleanu}, Adv. Math. Phys. 2013, Article ID 954015, 9 p. (2013; Zbl 1273.34004) Full Text: DOI
Abbas, Saïd; Baleanu, Dumitru; Benchohra, Mouffak Global attractivity for fractional order delay partial integro-differential equations. (English) Zbl 1302.35392 Adv. Difference Equ. 2012, Paper No. 62, 10 p. (2012). MSC: 35R11 45K05 35B41 PDFBibTeX XMLCite \textit{S. Abbas} et al., Adv. Difference Equ. 2012, Paper No. 62, 10 p. (2012; Zbl 1302.35392) Full Text: DOI
Baleanu, Dumitru; Petras, Ivo; Asad, Jihad H.; Velasco, Maria Pilar Fractional Pais-Uhlenbeck oscillator. (English) Zbl 1284.70035 Int. J. Theor. Phys. 51, No. 4, 1253-1258 (2012). MSC: 70J30 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Int. J. Theor. Phys. 51, No. 4, 1253--1258 (2012; Zbl 1284.70035) Full Text: DOI
Băleanu, Dumitru; Agarwal, Ravi P.; Mustafa, Octavian G.; Coşulschi, Mirel Asymptotic integration of some nonlinear differential equations with fractional time derivative. (English) Zbl 1238.26008 J. Phys. A, Math. Theor. 44, No. 5, Article ID 055203, 9 p. (2011). Reviewer: Tej Singh Nahar (Bhilwara) MSC: 26A33 34A08 PDFBibTeX XMLCite \textit{D. Băleanu} et al., J. Phys. A, Math. Theor. 44, No. 5, Article ID 055203, 9 p. (2011; Zbl 1238.26008) Full Text: DOI
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. On the solution set for a class of sequential fractional differential equations. (English) Zbl 1216.34004 J. Phys. A, Math. Theor. 43, No. 38, Article ID 385209, 7 p. (2010). Reviewer: Kai Diethelm (Braunschweig) MSC: 34A08 34D05 PDFBibTeX XMLCite \textit{D. Băleanu} et al., J. Phys. A, Math. Theor. 43, No. 38, Article ID 385209, 7 p. (2010; Zbl 1216.34004) Full Text: DOI
Baleanu, Dumitru; Golmankhaneh, Ali Khalili; Golmankhaneh, Alireza Khalili The dual action of fractional multi time Hamilton equations. (English) Zbl 1405.34005 Int. J. Theor. Phys. 48, No. 9, 2558-2569 (2009). MSC: 34A08 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Int. J. Theor. Phys. 48, No. 9, 2558--2569 (2009; Zbl 1405.34005) Full Text: DOI
Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M. On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative. (English) Zbl 1170.70324 Nonlinear Dyn. 53, No. 1-2, 67-74 (2008). MSC: 70H03 70H05 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Nonlinear Dyn. 53, No. 1--2, 67--74 (2008; Zbl 1170.70324) Full Text: DOI arXiv