Dehestani, Haniye; Ordokhani, Yadollah Pell-Lucas discretization method for finding the solution of Caputo-Fabrizio time-fractional diffusion equations. (English) Zbl 07787439 Vietnam J. Math. 52, No. 1, 235-254 (2024). MSC: 65M70 35K57 65N35 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, Vietnam J. Math. 52, No. 1, 235--254 (2024; Zbl 07787439) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah An accurate numerical algorithm to investigate the solution of fractal-fractional partial differential equations. (English) Zbl 07784573 Rocky Mt. J. Math. 53, No. 6, 1767-1788 (2023). MSC: 65M70 65M99 65M15 33C10 26A33 28A80 35R11 92D30 92C60 35Q92 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, Rocky Mt. J. Math. 53, No. 6, 1767--1788 (2023; Zbl 07784573) Full Text: DOI Link
Dehestani, Haniye; Ordokhani, Yadollah A numerical study on fractional optimal control problems described by Caputo-Fabrizio fractional integro-differential equation. (English) Zbl 07754262 Optim. Control Appl. Methods 44, No. 4, 1873-1892 (2023). MSC: 49M41 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, Optim. Control Appl. Methods 44, No. 4, 1873--1892 (2023; Zbl 07754262) Full Text: DOI
Rahimkhani, Parisa; Ordokhani, Yadollah Performance of Genocchi wavelet neural networks and least squares support vector regression for solving different kinds of differential equations. (English) Zbl 07671192 Comput. Appl. Math. 42, No. 2, Paper No. 71, 31 p. (2023). MSC: 65-XX 65L60 92B20 PDFBibTeX XMLCite \textit{P. Rahimkhani} and \textit{Y. Ordokhani}, Comput. Appl. Math. 42, No. 2, Paper No. 71, 31 p. (2023; Zbl 07671192) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena. (English) Zbl 1510.65259 Math. Sci., Springer 16, No. 4, 343-359 (2022). MSC: 65M70 65T60 35R11 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Math. Sci., Springer 16, No. 4, 343--359 (2022; Zbl 1510.65259) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives. (English) Zbl 1513.35518 Int. J. Comput. Math. 99, No. 11, 2308-2326 (2022). MSC: 35R11 26A33 65M70 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, Int. J. Comput. Math. 99, No. 11, 2308--2326 (2022; Zbl 1513.35518) Full Text: DOI
Dehestani, H.; Ordokhani, Y. Composition of Euler scaling functions with the optimization method for fractional hyperbolic and reaction-diffusion equations with nonlocal boundary conditions. (English) Zbl 07543504 Numer. Funct. Anal. Optim. 43, No. 7, 816-837 (2022). MSC: 65Nxx 35R11 35L10 35K57 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, Numer. Funct. Anal. Optim. 43, No. 7, 816--837 (2022; Zbl 07543504) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen A spectral approach for time-fractional diffusion and subdiffusion equations in a large interval. (English) Zbl 1483.65163 Math. Model. Anal. 27, No. 1, 19-40 (2022). MSC: 65M70 35R11 65M15 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Math. Model. Anal. 27, No. 1, 19--40 (2022; Zbl 1483.65163) Full Text: DOI
Dehestani, H.; Ordokhani, Y. An efficient approach based on Legendre-Gauss-Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations. (English) Zbl 1481.65266 J. Comput. Appl. Math. 403, Article ID 113851, 14 p. (2022). MSC: 65R20 45D05 45K05 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, J. Comput. Appl. Math. 403, Article ID 113851, 14 p. (2022; Zbl 1481.65266) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen An improved numerical technique for distributed-order time-fractional diffusion equations. (English) Zbl 07776082 Numer. Methods Partial Differ. Equations 37, No. 3, 2490-2510 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Dehestani} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2490--2510 (2021; Zbl 07776082) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations. (English) Zbl 07479109 Int. J. Comput. Math. 98, No. 10, 2078-2096 (2021). MSC: 65-XX 35R11 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, Int. J. Comput. Math. 98, No. 10, 2078--2096 (2021; Zbl 07479109) Full Text: DOI
Sabermahani, Sedigheh; Ordokhani, Yadollah; Rahimkhani, Parisa Spectral methods for solving integro-differential equations and bibiliometric analysis. (English) Zbl 1470.65220 Singh, Harendra (ed.) et al., Topics in integral and integro-differential equations. Theory and applications. Cham: Springer. Stud. Syst. Decis. Control 340, 169-214 (2021). MSC: 65R20 35R11 45K05 45L05 65M70 PDFBibTeX XMLCite \textit{S. Sabermahani} et al., Stud. Syst. Decis. Control 340, 169--214 (2021; Zbl 1470.65220) Full Text: DOI
Dehestani, H.; Ordokhani, Y.; Razzaghi, M. Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations. (English) Zbl 1452.65403 J. Comput. Appl. Math. 382, Article ID 113070, 17 p. (2021). MSC: 65R20 45J05 45G10 65D32 PDFBibTeX XMLCite \textit{H. Dehestani} et al., J. Comput. Appl. Math. 382, Article ID 113070, 17 p. (2021; Zbl 1452.65403) Full Text: DOI
Dehestani, H.; Ordokhani, Y.; Razzaghi, M. Application of fractional Gegenbauer functions in variable-order fractional delay-type equations with non-singular kernel derivatives. (English) Zbl 1495.35186 Chaos Solitons Fractals 140, Article ID 110111, 13 p. (2020). MSC: 35R11 65M70 26A33 34A08 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Chaos Solitons Fractals 140, Article ID 110111, 13 p. (2020; Zbl 1495.35186) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error. (English) Zbl 1483.49006 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 6, 1032-1052 (2020). MSC: 49J10 33C10 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 6, 1032--1052 (2020; Zbl 1483.49006) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Numerical solution of variable-order time fractional weakly singular partial integro-differential equations with error estimation. (English) Zbl 1524.65645 Math. Model. Anal. 25, No. 4, 680-701 (2020). MSC: 65M70 35R09 45K05 65M15 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Math. Model. Anal. 25, No. 4, 680--701 (2020; Zbl 1524.65645) Full Text: DOI
Rahimkhani, Parisa; Ordokhani, Yadollah Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets. (English) Zbl 1488.65516 J. Math. Model. 8, No. 4, 435-454 (2020). MSC: 65M70 35R11 26A33 65D12 65T60 35Q35 PDFBibTeX XMLCite \textit{P. Rahimkhani} and \textit{Y. Ordokhani}, J. Math. Model. 8, No. 4, 435--454 (2020; Zbl 1488.65516) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Fractional-order Genocchi-Petrov-Galerkin method for solving time-space fractional Fokker-Planck equations arising from the physical phenomenon. (English) Zbl 1461.65244 Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 100, 31 p. (2020). MSC: 65M70 65M15 35R11 35Q84 65M60 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 100, 31 p. (2020; Zbl 1461.65244) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Numerical technique for solving fractional generalized pantograph-delay differential equations by using fractional-order hybrid Bessel functions. (English) Zbl 1461.65200 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 9, 27 p. (2020). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 9, 27 p. (2020; Zbl 1461.65200) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen The novel operational matrices based on 2D-Genocchi polynomials: solving a general class of variable-order fractional partial integro-differential equations. (English) Zbl 1474.65383 Comput. Appl. Math. 39, No. 4, Paper No. 259, 32 p. (2020). MSC: 65M70 26A33 33F05 35R09 35R11 65M15 65M12 45K05 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Comput. Appl. Math. 39, No. 4, Paper No. 259, 32 p. (2020; Zbl 1474.65383) Full Text: DOI
Sabermahani, Sedigheh; Ordokhani, Yadollah; Yousefi, Sohrab-Ali Two-dimensional Müntz-Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations. (English) Zbl 1449.65278 Comput. Appl. Math. 39, No. 2, Paper No. 111, 22 p. (2020). MSC: 65M70 65N35 35R11 26A33 65H10 42C10 PDFBibTeX XMLCite \textit{S. Sabermahani} et al., Comput. Appl. Math. 39, No. 2, Paper No. 111, 22 p. (2020; Zbl 1449.65278) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Fractional-order Bessel functions with various applications. (English) Zbl 1524.34015 Appl. Math., Praha 64, No. 6, 637-662 (2019). MSC: 34A08 34A45 33C10 34K37 34K07 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Appl. Math., Praha 64, No. 6, 637--662 (2019; Zbl 1524.34015) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen A numerical technique for solving various kinds of fractional partial differential equations via Genocchi hybrid functions. (English) Zbl 1425.65123 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3297-3321 (2019). MSC: 65M70 65M15 35R11 65M06 11B68 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3297--3321 (2019; Zbl 1425.65123) Full Text: DOI