Pokhriyal, Bhawna; Goswami, Pranay A generalized local fractional LWR model of vehicular traffic flow and its solution. (English) Zbl 07816035 Math. Methods Appl. Sci. 46, No. 18, 18899-18915 (2023). MSC: 26A33 90B20 90-10 PDFBibTeX XMLCite \textit{B. Pokhriyal} and \textit{P. Goswami}, Math. Methods Appl. Sci. 46, No. 18, 18899--18915 (2023; Zbl 07816035) Full Text: DOI
Pandey, S. C.; Raturi, A. K. On solutions to the arms race model using some techniques of fractional calculus. (English) Zbl 07743256 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 45-60 (2023). MSC: 34C60 91D99 34A08 26A33 34A45 PDFBibTeX XMLCite \textit{S. C. Pandey} and \textit{A. K. Raturi}, J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 45--60 (2023; Zbl 07743256) Full Text: DOI Link
Harir, Atimad; El Harfi, Hassan; Melliani, Said; Chadli, L. Saadia Fuzzy solutions of the SIR models using VIM. (English) Zbl 1514.34078 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 30, No. 1, 43-61 (2022). MSC: 34C60 92D30 34A07 34A45 26E50 PDFBibTeX XMLCite \textit{A. Harir} et al., Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 30, No. 1, 43--61 (2022; Zbl 1514.34078) Full Text: DOI
Ziane, Djelloul; Hamdi, Cherif Mountassir; Belghaba, Kacem; Belgacem, Fethi Bin Muhammad An accurate method for nonlinear local fractional wave-like equations with variable coefficients. (English) Zbl 1499.44005 Comput. Methods Differ. Equ. 9, No. 3, 774-787 (2021). MSC: 44A05 26A33 44A20 34K37 PDFBibTeX XMLCite \textit{D. Ziane} et al., Comput. Methods Differ. Equ. 9, No. 3, 774--787 (2021; Zbl 1499.44005) Full Text: DOI
Ziane, D.; Hamdi Cherif, M. A new analytical solution of Klein-Gordon equation with local fractional derivative. (English) Zbl 1462.35452 Asian-Eur. J. Math. 14, No. 3, Article ID 2150029, 13 p. (2021). MSC: 35R11 35A22 26A33 33E12 65L10 PDFBibTeX XMLCite \textit{D. Ziane} and \textit{M. Hamdi Cherif}, Asian-Eur. J. Math. 14, No. 3, Article ID 2150029, 13 p. (2021; Zbl 1462.35452) Full Text: DOI
Osman, Mawia; Gong, Zengtai; Mustafa, Altyeb Mohammed Comparison of fuzzy Adomian decomposition method with fuzzy VIM for solving fuzzy heat-like and wave-like equations with variable coefficients. (English) Zbl 1485.65111 Adv. Difference Equ. 2020, Paper No. 327, 42 p. (2020). MSC: 65M99 35R13 26E50 03E72 PDFBibTeX XMLCite \textit{M. Osman} et al., Adv. Difference Equ. 2020, Paper No. 327, 42 p. (2020; Zbl 1485.65111) Full Text: DOI
Yang, Fan; Wang, Ni; Li, Xiao-Xiao Landweber iterative method for an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain. (English) Zbl 1473.65174 J. Appl. Anal. Comput. 10, No. 2, 514-529 (2020). Reviewer: Robert Plato (Siegen) MSC: 65M32 26A33 35R11 35R25 35R30 65J20 65M30 65K10 33E12 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Appl. Anal. Comput. 10, No. 2, 514--529 (2020; Zbl 1473.65174) Full Text: DOI
Hong, Baojian; Lu, Dianchen; Chen, Wei Exact and approximate solutions for the fractional Schrödinger equation with variable coefficients. (English) Zbl 1459.35377 Adv. Difference Equ. 2019, Paper No. 370, 10 p. (2019). MSC: 35R11 26A33 35A35 PDFBibTeX XMLCite \textit{B. Hong} et al., Adv. Difference Equ. 2019, Paper No. 370, 10 p. (2019; Zbl 1459.35377) Full Text: DOI
Ma, Zhonglian; Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Cattani, Carlo An efficient iterative approach for three-dimensional modified anomalous fractional sub-diffusion equations on a large domain. (English) Zbl 1459.65094 Adv. Difference Equ. 2019, Paper No. 367, 14 p. (2019). MSC: 65K10 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Ma} et al., Adv. Difference Equ. 2019, Paper No. 367, 14 p. (2019; Zbl 1459.65094) Full Text: DOI
Wen, Ruiping; Zhao, Peipei A medium-shifted splitting iteration method for a diagonal-plus-Toeplitz linear system from spatial fractional Schrödinger equations. (English) Zbl 1499.35693 Bound. Value Probl. 2018, Paper No. 45, 17 p. (2018). MSC: 35R11 65F10 26A33 35A15 65M06 PDFBibTeX XMLCite \textit{R. Wen} and \textit{P. Zhao}, Bound. Value Probl. 2018, Paper No. 45, 17 p. (2018; Zbl 1499.35693) Full Text: DOI
Atshan, Shakir M.; Hamoud, Ahmed A. Approximate solutions of fourth-order fractional integro-differential equations. (English) Zbl 1424.35008 Acta Univ. Apulensis, Math. Inform. 55, 49-61 (2018). MSC: 35A15 26A33 65H20 45J05 PDFBibTeX XMLCite \textit{S. M. Atshan} and \textit{A. A. Hamoud}, Acta Univ. Apulensis, Math. Inform. 55, 49--61 (2018; Zbl 1424.35008) Full Text: DOI
Balcı, Mehmet Ali Time fractional capital-induced labor migration model. (English) Zbl 1495.91068 Physica A 477, 91-98 (2017). MSC: 91B62 26A33 34A08 60H30 35R11 PDFBibTeX XMLCite \textit{M. A. Balcı}, Physica A 477, 91--98 (2017; Zbl 1495.91068) Full Text: DOI
Eshaghi, Shiva; Ansari, Alireza; Ghaziani, Reza Khoshsiar; Darani, Mohammadreza Ahmadi Fractional Black-Scholes model with regularized Prabhakar derivative. (English) Zbl 1474.62361 Publ. Inst. Math., Nouv. Sér. 102(116), 121-132 (2017). MSC: 62P05 26A33 PDFBibTeX XMLCite \textit{S. Eshaghi} et al., Publ. Inst. Math., Nouv. Sér. 102(116), 121--132 (2017; Zbl 1474.62361) Full Text: DOI
Atshan, Shakir Msahir An approximate solutions of boundary value problem for fourth-order fractional integro-differential equation. (English) Zbl 1412.35009 Aligarh Bull. Math. 36, No. 1-2, 109-123 (2017). MSC: 35A15 26A33 65H20 45J05 PDFBibTeX XMLCite \textit{S. M. Atshan}, Aligarh Bull. Math. 36, No. 1--2, 109--123 (2017; Zbl 1412.35009)
Haghbin, A.; Jafari, H. Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method. (English) Zbl 1406.92801 Iran. J. Math. Chem. 8, No. 4, 365-375 (2017). MSC: 92E20 34A08 26A33 PDFBibTeX XMLCite \textit{A. Haghbin} and \textit{H. Jafari}, Iran. J. Math. Chem. 8, No. 4, 365--375 (2017; Zbl 1406.92801) Full Text: DOI
Saad, K. M.; Al-Sharif, Eman H. F. Analytical study for time and time-space fractional Burgers’ equation. (English) Zbl 1422.35171 Adv. Difference Equ. 2017, Paper No. 300, 15 p. (2017). MSC: 35R11 26A33 35Q53 65M70 PDFBibTeX XMLCite \textit{K. M. Saad} and \textit{E. H. F. Al-Sharif}, Adv. Difference Equ. 2017, Paper No. 300, 15 p. (2017; Zbl 1422.35171) Full Text: DOI
Guo, Yong-Mei; Zhao, Yang; Zhou, Yao-Ming; Xiao, Zhong-Bin; Yang, Xiao-Jun On the local fractional LWR model in fractal traffic flows in the entropy condition. (English) Zbl 1386.90030 Math. Methods Appl. Sci. 40, No. 17, 6127-6132 (2017). MSC: 90B20 35C10 26A30 PDFBibTeX XMLCite \textit{Y.-M. Guo} et al., Math. Methods Appl. Sci. 40, No. 17, 6127--6132 (2017; Zbl 1386.90030) Full Text: DOI
Jassim, Hassan Kamil A novel approach for solving Volterra integral equations involving local fractional operator. (English) Zbl 1372.65342 Appl. Appl. Math. 12, No. 1, 496-505 (2017). MSC: 65R20 45D05 45A05 45G10 26A33 PDFBibTeX XMLCite \textit{H. K. Jassim}, Appl. Appl. Math. 12, No. 1, 496--505 (2017; Zbl 1372.65342) Full Text: Link
Zhang, Yu; Yang, Xiao-Jun An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics. (English) Zbl 1446.35260 Appl. Math. Modelling 40, No. 3, 1793-1799 (2016). MSC: 35R11 26A33 65M99 35Q49 35Q84 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{X.-J. Yang}, Appl. Math. Modelling 40, No. 3, 1793--1799 (2016; Zbl 1446.35260) Full Text: DOI
Gao, Feng; Srivastava, H. M.; Gao, Ya-Nan; Yang, Xiao-Jun A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations. (English) Zbl 1386.35436 J. Nonlinear Sci. Appl. 9, No. 11, 5830-5835 (2016). MSC: 35R11 26A33 35A15 PDFBibTeX XMLCite \textit{F. Gao} et al., J. Nonlinear Sci. Appl. 9, No. 11, 5830--5835 (2016; Zbl 1386.35436) Full Text: DOI Link
Guo, Shimin; Mei, Liquan; He, Yaling; Li, Yibao Time-fractional Schamel-KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains. (English) Zbl 1364.35309 Phys. Lett., A 380, No. 9-10, 1031-1036 (2016). MSC: 35Q53 26A33 35R11 35Q70 76Q05 PDFBibTeX XMLCite \textit{S. Guo} et al., Phys. Lett., A 380, No. 9--10, 1031--1036 (2016; Zbl 1364.35309) Full Text: DOI
Zhang, Youwei Formulation and solution to time-fractional generalized Korteweg-de Vries equation via variational methods. (English) Zbl 1444.35158 Adv. Difference Equ. 2014, Paper No. 65, 12 p. (2014). MSC: 35R11 35Q53 26A33 PDFBibTeX XMLCite \textit{Y. Zhang}, Adv. Difference Equ. 2014, Paper No. 65, 12 p. (2014; Zbl 1444.35158) 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
Safavi, Mostafa Solutions to fractional system of heat- and wave-like equations with variational iteration method. (English) Zbl 1488.35574 J. Fract. Calc. Appl. 4, No. 2, 177-190 (2013). MSC: 35R11 26A33 35A15 35A99 PDFBibTeX XMLCite \textit{M. Safavi}, J. Fract. Calc. Appl. 4, No. 2, 177--190 (2013; Zbl 1488.35574) Full Text: Link
Wu, Guo-Cheng; Baleanu, Dumitru Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. (English) Zbl 1438.76046 Appl. Math. Modelling 37, No. 9, 6183-6190 (2013). MSC: 76S05 26A33 65R20 65L05 44A10 45J05 35R11 76M30 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{D. Baleanu}, Appl. Math. Modelling 37, No. 9, 6183--6190 (2013; Zbl 1438.76046) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru New applications of the variational iteration method – from differential equations to \(q\)-fractional difference equations. (English) Zbl 1365.39006 Adv. Difference Equ. 2013, Paper No. 21, 16 p. (2013). MSC: 39A13 26A33 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{D. Baleanu}, Adv. Difference Equ. 2013, Paper No. 21, 16 p. (2013; Zbl 1365.39006) Full Text: DOI
Matinfar, Mashaallah; Ghanbari, Mojtaba; Nuraei, Rahele Numerical solution of linear fuzzy Volterra integro-differential equations by variational iteration method. (English) Zbl 1304.65274 J. Intell. Fuzzy Syst. 24, No. 3, 575-586 (2013). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45D05 45J05 26E50 45F05 PDFBibTeX XMLCite \textit{M. Matinfar} et al., J. Intell. Fuzzy Syst. 24, No. 3, 575--586 (2013; Zbl 1304.65274) Full Text: DOI
Yaslan, H. Çerdik Variational iteration method for the time-fractional elastodynamics of 3D quasicrystals. (English) Zbl 1356.74081 CMES, Comput. Model. Eng. Sci. 86, No. 1, 29-38 (2012). MSC: 74H10 26A33 74B05 PDFBibTeX XMLCite \textit{H. Ç. Yaslan}, CMES, Comput. Model. Eng. Sci. 86, No. 1, 29--38 (2012; Zbl 1356.74081) Full Text: DOI
He, Ji-Huan A short remark on fractional variational iteration method. (English) Zbl 1252.49027 Phys. Lett., A 375, No. 38, 3362-3364 (2011). MSC: 49K05 49S05 26A33 26A18 PDFBibTeX XMLCite \textit{J.-H. He}, Phys. Lett., A 375, No. 38, 3362--3364 (2011; Zbl 1252.49027) Full Text: DOI
Tripathi, Dharmendra Peristaltic transport of fractional Maxwell fluids in uniform tubes: applications in endoscopy. (English) Zbl 1228.65204 Comput. Math. Appl. 62, No. 3, 1116-1126 (2011). MSC: 65M99 35R11 26A33 35Q35 45K05 92C50 PDFBibTeX XMLCite \textit{D. Tripathi}, Comput. Math. Appl. 62, No. 3, 1116--1126 (2011; Zbl 1228.65204) Full Text: DOI
Wu, Guo-Cheng; Lee, E. W. M. Fractional variational iteration method and its application. (English) Zbl 1237.34007 Phys. Lett., A 374, No. 25, 2506-2509 (2010). MSC: 34A08 35R11 26A33 39B12 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{E. W. M. Lee}, Phys. Lett., A 374, No. 25, 2506--2509 (2010; Zbl 1237.34007) Full Text: DOI
Yang, Shuiping; Xiao, Aiguo; Su, Hong Convergence of the variational iteration method for solving multi-order fractional differential equations. (English) Zbl 1207.65109 Comput. Math. Appl. 60, No. 10, 2871-2879 (2010). MSC: 65L99 34A08 26A33 45J05 PDFBibTeX XMLCite \textit{S. Yang} et al., Comput. Math. Appl. 60, No. 10, 2871--2879 (2010; Zbl 1207.65109) Full Text: DOI
Elsaid, A. The variational iteration method for solving Riesz fractional partial differential equations. (English) Zbl 1205.65287 Comput. Math. Appl. 60, No. 7, 1940-1947 (2010). MSC: 65M99 26A33 45K05 PDFBibTeX XMLCite \textit{A. Elsaid}, Comput. Math. Appl. 60, No. 7, 1940--1947 (2010; Zbl 1205.65287) Full Text: DOI
Wang, Wen-Hua An effective method for solving fractional integro-differential equations. (English) Zbl 1224.65309 Acta Univ. Apulensis, Math. Inform. 20, 229-235 (2009). MSC: 65R20 26A33 45J05 PDFBibTeX XMLCite \textit{W.-H. Wang}, Acta Univ. Apulensis, Math. Inform. 20, 229--235 (2009; Zbl 1224.65309) Full Text: EuDML
Odibat, Zaid; Momani, Shaher The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. (English) Zbl 1189.65254 Comput. Math. Appl. 58, No. 11-12, 2199-2208 (2009). MSC: 65M99 26A33 76A02 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{S. Momani}, Comput. Math. Appl. 58, No. 11--12, 2199--2208 (2009; Zbl 1189.65254) Full Text: DOI
Yulita Molliq, R.; Noorani, M. S. M.; Hashim, I.; Ahmad, R. R. Approximate solutions of fractional Zakharov-Kuznetsov equations by VIM. (English) Zbl 1173.65066 J. Comput. Appl. Math. 233, No. 2, 103-108 (2009). MSC: 65M70 45K05 26A33 35Q53 PDFBibTeX XMLCite \textit{R. Yulita Molliq} et al., J. Comput. Appl. Math. 233, No. 2, 103--108 (2009; Zbl 1173.65066) Full Text: DOI
Das, S. Analytical solution of a fractional diffusion equation by variational iteration method. (English) Zbl 1165.35398 Comput. Math. Appl. 57, No. 3, 483-487 (2009). MSC: 35K57 26A33 35A35 35C05 65M99 PDFBibTeX XMLCite \textit{S. Das}, Comput. Math. Appl. 57, No. 3, 483--487 (2009; Zbl 1165.35398) Full Text: DOI
Song, Lina; Wang, Qi; Zhang, Hongqing Rational approximation solution of the fractional Sharma-Tasso-Olever equation. (English) Zbl 1157.65074 J. Comput. Appl. Math. 224, No. 1, 210-218 (2009). MSC: 65R20 26A33 45K05 45G10 65M70 35Q53 PDFBibTeX XMLCite \textit{L. Song} et al., J. Comput. Appl. Math. 224, No. 1, 210--218 (2009; Zbl 1157.65074) Full Text: DOI
Ghorbani, Asghar Toward a new analytical method for solving nonlinear fractional differential equations. (English) Zbl 1194.65091 Comput. Methods Appl. Mech. Eng. 197, No. 49-50, 4173-4179 (2008). MSC: 65L05 26A33 PDFBibTeX XMLCite \textit{A. Ghorbani}, Comput. Methods Appl. Mech. Eng. 197, No. 49--50, 4173--4179 (2008; Zbl 1194.65091) Full Text: DOI
Odibat, Zaid; Momani, Shaher Analytical comparison between the homotopy perturbation method and variational iteration method for differential equations of fractional orders. (English) Zbl 1180.65178 Int. J. Mod. Phys. B 22, No. 23, 4041-4058 (2008). MSC: 65R20 45J05 26A33 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{S. Momani}, Int. J. Mod. Phys. B 22, No. 23, 4041--4058 (2008; Zbl 1180.65178) Full Text: DOI
Odibat, Zaid; Momani, Shaher Applications of variational iteration and homotopy perturbation methods to fractional evolution equations. (English) Zbl 1172.26303 Topol. Methods Nonlinear Anal. 31, No. 2, 227-234 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{S. Momani}, Topol. Methods Nonlinear Anal. 31, No. 2, 227--234 (2008; Zbl 1172.26303)
Odibat, Zaid; Momani, Shaher Numerical methods for nonlinear partial differential equations of fractional order. (English) Zbl 1133.65116 Appl. Math. Modelling 32, No. 1, 28-39 (2008). MSC: 65R20 45K05 65M70 35K55 26A33 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{S. Momani}, Appl. Math. Modelling 32, No. 1, 28--39 (2008; Zbl 1133.65116) Full Text: DOI Link
Momani, Shaher; Odibat, Zaid; Alawneh, Ahmed Variational iteration method for solving the space- and time-fractional KdV Equation. (English) Zbl 1130.65132 Numer. Methods Partial Differ. Equations 24, No. 1, 262-271 (2008). MSC: 65R20 45K05 35Q53 26A33 65M60 PDFBibTeX XMLCite \textit{S. Momani} et al., Numer. Methods Partial Differ. Equations 24, No. 1, 262--271 (2008; Zbl 1130.65132) Full Text: DOI
Momani, Shaher; Odibat, Zaid Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. (English) Zbl 1141.65398 Comput. Math. Appl. 54, No. 7-8, 910-919 (2007). MSC: 65R20 45K05 26A33 PDFBibTeX XMLCite \textit{S. Momani} and \textit{Z. Odibat}, Comput. Math. Appl. 54, No. 7--8, 910--919 (2007; Zbl 1141.65398) Full Text: DOI
Momani, Shaher; Odibat, Zaid Numerical comparison of methods for solving linear differential equations of fractional order. (English) Zbl 1137.65450 Chaos Solitons Fractals 31, No. 5, 1248-1255 (2007). MSC: 65R20 45J05 26A33 65L05 34A30 PDFBibTeX XMLCite \textit{S. Momani} and \textit{Z. Odibat}, Chaos Solitons Fractals 31, No. 5, 1248--1255 (2007; Zbl 1137.65450) Full Text: DOI
Momani, Shaher; Odibat, Zaid Numerical approach to differential equations of fractional order. (English) Zbl 1119.65127 J. Comput. Appl. Math. 207, No. 1, 96-110 (2007). MSC: 65R20 45J05 45G10 65L05 34A34 26A33 PDFBibTeX XMLCite \textit{S. Momani} and \textit{Z. Odibat}, J. Comput. Appl. Math. 207, No. 1, 96--110 (2007; Zbl 1119.65127) Full Text: DOI
Abbasbandy, S. An approximation solution of a nonlinear equation with Riemann-Liouville’s fractional derivatives by He’s variational iteration method. (English) Zbl 1120.65133 J. Comput. Appl. Math. 207, No. 1, 53-58 (2007). MSC: 65R20 45J05 45G10 26A33 PDFBibTeX XMLCite \textit{S. Abbasbandy}, J. Comput. Appl. Math. 207, No. 1, 53--58 (2007; Zbl 1120.65133) Full Text: DOI