Heydari, M. H.; Avazzadeh, Z.; Razzaghi, M. Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations. (English) Zbl 1467.35305 Appl. Numer. Math. 165, 442-458 (2021). MSC: 35Q56 35R11 65H10 65M12 65M15 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Appl. Numer. Math. 165, 442--458 (2021; Zbl 1467.35305) Full Text: DOI
Gharian, D.; Ghaini, F. M. Maalek; Heydari, M. H.; Avazzadeh, Z. A meshless solution for the variable-order time fractional nonlinear Klein-Gordon equation. (English) Zbl 1461.65245 Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 130, 16 p. (2020). MSC: 65M70 65M12 34K37 65D12 65M06 PDFBibTeX XMLCite \textit{D. Gharian} et al., Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 130, 16 p. (2020; Zbl 1461.65245) Full Text: DOI
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z. A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. (English) Zbl 1464.65143 Eng. Anal. Bound. Elem. 120, 166-179 (2020). MSC: 65M70 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Eng. Anal. Bound. Elem. 120, 166--179 (2020; Zbl 1464.65143) Full Text: DOI
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin; Cattani, Carlo A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. (English) Zbl 1449.35437 Comput. Appl. Math. 39, No. 1, Paper No. 2, 21 p. (2020). MSC: 35R11 26A33 65M70 33C47 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Comput. Appl. Math. 39, No. 1, Paper No. 2, 21 p. (2020; Zbl 1449.35437) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Roohi, R.; Avazzadeh, Z. A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. (English) Zbl 1452.65196 J. Comput. Phys. 395, 1-18 (2019). MSC: 65M12 92C50 35R11 65Z05 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., J. Comput. Phys. 395, 1--18 (2019; Zbl 1452.65196) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z. A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. (English) Zbl 1443.65449 Comput. Math. Appl. 78, No. 12, 3713-3730 (2019). MSC: 65T60 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Comput. Math. Appl. 78, No. 12, 3713--3730 (2019; Zbl 1443.65449) Full Text: DOI
Hassani, H.; Machado, J. A. Tenreiro; Avazzadeh, Z. An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique. (English) Zbl 1430.34005 Nonlinear Dyn. 97, No. 4, 2041-2054 (2019). MSC: 34A08 34B99 26A33 49K15 PDFBibTeX XMLCite \textit{H. Hassani} et al., Nonlinear Dyn. 97, No. 4, 2041--2054 (2019; Zbl 1430.34005) Full Text: DOI
Hassani, Hossein; Avazzadeh, Zakieh Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems. (English) Zbl 1433.49044 Appl. Math. Comput. 362, Article ID 124563, 10 p. (2019). MSC: 49M25 34A08 49K15 PDFBibTeX XMLCite \textit{H. Hassani} and \textit{Z. Avazzadeh}, Appl. Math. Comput. 362, Article ID 124563, 10 p. (2019; Zbl 1433.49044) Full Text: DOI
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin A computational method for solving variable-order fractional nonlinear diffusion-wave equation. (English) Zbl 1429.65240 Appl. Math. Comput. 352, 235-248 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Appl. Math. Comput. 352, 235--248 (2019; Zbl 1429.65240) Full Text: DOI
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Haromi, Malih Farzi A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation. (English) Zbl 1429.65239 Appl. Math. Comput. 341, 215-228 (2019). MSC: 65M70 35R11 65T60 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Appl. Math. Comput. 341, 215--228 (2019; Zbl 1429.65239) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M. Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. (English) Zbl 1461.65247 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7-8, 793-802 (2018). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7--8, 793--802 (2018; Zbl 1461.65247) Full Text: DOI
Heydari, M. H.; Avazzadeh, Z. An operational matrix method for solving variable-order fractional biharmonic equation. (English) Zbl 1402.65125 Comput. Appl. Math. 37, No. 4, 4397-4411 (2018). MSC: 65M70 41A35 26A33 33C47 31B30 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{Z. Avazzadeh}, Comput. Appl. Math. 37, No. 4, 4397--4411 (2018; Zbl 1402.65125) Full Text: DOI
Heydari, Mohammad Hossein; Avazzadeh, Zakieh Legendre wavelets optimization method for variable-order fractional Poisson equation. (English) Zbl 1398.65316 Chaos Solitons Fractals 112, 180-190 (2018). MSC: 65N35 35R11 65K10 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{Z. Avazzadeh}, Chaos Solitons Fractals 112, 180--190 (2018; Zbl 1398.65316) Full Text: DOI