Sene, Ndolane On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels. (English) Zbl 07777629 Math. Sci., Springer 17, No. 4, 517-537 (2023). MSC: 65P10 34A05 34C28 PDFBibTeX XMLCite \textit{N. Sene}, Math. Sci., Springer 17, No. 4, 517--537 (2023; Zbl 07777629) Full Text: DOI
Azizi, Naser; Pourgholi, Reza Applications of sine-cosine wavelets method for solving the generalized Hirota-Satsuma coupled KdV equation. (English) Zbl 1527.65101 Math. Sci., Springer 17, No. 4, 503-516 (2023). MSC: 65M70 35Q53 42C40 65T60 65M12 65M15 PDFBibTeX XMLCite \textit{N. Azizi} and \textit{R. Pourgholi}, Math. Sci., Springer 17, No. 4, 503--516 (2023; Zbl 1527.65101) Full Text: DOI
Saka, Bülent; Dağ, İdris; Hepson, Ozlem Ersoy Integration of the RLW equation using higher-order predictor-corrector scheme and quintic B-spline collocation method. (English) Zbl 07777627 Math. Sci., Springer 17, No. 4, 491-502 (2023). MSC: 65M70 65M06 65L06 65N30 35Q53 PDFBibTeX XMLCite \textit{B. Saka} et al., Math. Sci., Springer 17, No. 4, 491--502 (2023; Zbl 07777627) Full Text: DOI
Srivastava, Nikhil; Singh, Aman; Singh, Vineet Kumar Computational algorithm for financial mathematical model based on European option. (English) Zbl 07777626 Math. Sci., Springer 17, No. 4, 467-490 (2023). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G60 65M06 35R11 91G20 PDFBibTeX XMLCite \textit{N. Srivastava} et al., Math. Sci., Springer 17, No. 4, 467--490 (2023; Zbl 07777626) Full Text: DOI
Mansouri, L.; Azimzadeh, Z. Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials. (English) Zbl 07777625 Math. Sci., Springer 17, No. 4, 455-466 (2023). MSC: 65R20 65L60 34K05 PDFBibTeX XMLCite \textit{L. Mansouri} and \textit{Z. Azimzadeh}, Math. Sci., Springer 17, No. 4, 455--466 (2023; Zbl 07777625) Full Text: DOI
Castro, L. P.; Minh, L. T.; Tuan, N. M. Filter design based on the fractional Fourier transform associated with new convolutions and correlations. (English) Zbl 07777624 Math. Sci., Springer 17, No. 4, 445-454 (2023). MSC: 44A35 42A38 42A85 43A32 44A20 45E10 PDFBibTeX XMLCite \textit{L. P. Castro} et al., Math. Sci., Springer 17, No. 4, 445--454 (2023; Zbl 07777624) Full Text: DOI
Rahimi, Mahbubeh; Adibi, Hojatollah; Amirfakhrian, Majid Numerical study of nonlinear generalized Burgers-Huxley equation by multiquadric quasi-interpolation and pseudospectral method. (English) Zbl 07777623 Math. Sci., Springer 17, No. 4, 431-444 (2023). MSC: 65M70 65M06 65N35 65D05 35Q53 35Q92 PDFBibTeX XMLCite \textit{M. Rahimi} et al., Math. Sci., Springer 17, No. 4, 431--444 (2023; Zbl 07777623) Full Text: DOI
Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem. (English) Zbl 07777622 Math. Sci., Springer 17, No. 4, 415-429 (2023). MSC: 65M70 11B83 35L02 PDFBibTeX XMLCite \textit{A. G. Atta} et al., Math. Sci., Springer 17, No. 4, 415--429 (2023; Zbl 07777622) Full Text: DOI OA License
Ahmed, Hoda F.; Melad, Marina B. A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order. (English) Zbl 1527.65051 Math. Sci., Springer 17, No. 4, 399-413 (2023). MSC: 65L03 33C45 65L60 PDFBibTeX XMLCite \textit{H. F. Ahmed} and \textit{M. B. Melad}, Math. Sci., Springer 17, No. 4, 399--413 (2023; Zbl 1527.65051) Full Text: DOI OA License
Amiri Kayvanloo, Hojjatollah; Mursaleen, Mohammad; Mehrabinezhad, Mohammad; Pouladi Najafabadi, Farzaneh Solvability of some fractional differential equations in the Hölder space \(\mathcal{H}_{\gamma}(\mathbb{R_+})\) and their numerical treatment via measures of noncompactness. (English) Zbl 1527.47005 Math. Sci., Springer 17, No. 4, 387-397 (2023). MSC: 47H10 47H08 34A08 45E10 26A33 65R20 PDFBibTeX XMLCite \textit{H. Amiri Kayvanloo} et al., Math. Sci., Springer 17, No. 4, 387--397 (2023; Zbl 1527.47005) Full Text: DOI
Bin Dehaish, Buthinah A.; Alharbi, Rawan K. Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space. (English) Zbl 07777619 Math. Sci., Springer 17, No. 4, 379-385 (2023). MSC: 47J26 47H09 46B40 PDFBibTeX XMLCite \textit{B. A. Bin Dehaish} and \textit{R. K. Alharbi}, Math. Sci., Springer 17, No. 4, 379--385 (2023; Zbl 07777619) Full Text: DOI
Mesgarani, H.; Parmour, P. Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration. (English) Zbl 07777618 Math. Sci., Springer 17, No. 4, 371-378 (2023). MSC: 65R32 65R30 65R20 47A52 65D32 45B05 45Q05 68U10 PDFBibTeX XMLCite \textit{H. Mesgarani} and \textit{P. Parmour}, Math. Sci., Springer 17, No. 4, 371--378 (2023; Zbl 07777618) Full Text: DOI
Rashid, Saima; Ashraf, Rehana; Tahir, Madeeha On novel analytical solution of time-fractional Schrödinger equation within a hybrid transform. (English) Zbl 07777617 Math. Sci., Springer 17, No. 4, 351-369 (2023). MSC: 35R11 35Q55 PDFBibTeX XMLCite \textit{S. Rashid} et al., Math. Sci., Springer 17, No. 4, 351--369 (2023; Zbl 07777617) Full Text: DOI
Sayevand, Khosro; Erfanifar, Raziyeh; Esmaeili, Hamid The maximal positive definite solution of the nonlinear matrix equation \(X + A^*X^{-1}A+B^*X^{-1}B = I \). (English) Zbl 07777616 Math. Sci., Springer 17, No. 4, 337-350 (2023). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 65F45 PDFBibTeX XMLCite \textit{K. Sayevand} et al., Math. Sci., Springer 17, No. 4, 337--350 (2023; Zbl 07777616) Full Text: DOI
Ebrahimzadeh, Asiyeh; Beik, Samaneh Panjeh Ali Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem. (English) Zbl 1522.65182 Math. Sci., Springer 17, No. 3, 325-335 (2023); correction ibid. 17, No. 4, 539 (2023). MSC: 65M70 45G05 49M37 49M41 93C23 PDFBibTeX XMLCite \textit{A. Ebrahimzadeh} and \textit{S. P. A. Beik}, Math. Sci., Springer 17, No. 3, 325--335 (2023; Zbl 1522.65182) Full Text: DOI
Dehghan, Zahra; Rashidinia, Jalil Numerical solution of coupled viscous Burgers’ equations using RBF-QR method. (English) Zbl 07739764 Math. Sci., Springer 17, No. 3, 317-324 (2023). MSC: 65Mxx 35Qxx 41Axx PDFBibTeX XMLCite \textit{Z. Dehghan} and \textit{J. Rashidinia}, Math. Sci., Springer 17, No. 3, 317--324 (2023; Zbl 07739764) Full Text: DOI
Al Nuwairan, Muneerah The exact solutions of the conformable time fractional version of the generalized Pochhammer-Chree equation. (English) Zbl 1520.35160 Math. Sci., Springer 17, No. 3, 305-316 (2023). MSC: 35R11 34A08 PDFBibTeX XMLCite \textit{M. Al Nuwairan}, Math. Sci., Springer 17, No. 3, 305--316 (2023; Zbl 1520.35160) Full Text: DOI
Iskafi, Khalid; Ahammou, Abdelaziz Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain. (English) Zbl 1523.35153 Math. Sci., Springer 17, No. 3, 297-304 (2023). MSC: 35J47 35J92 35A01 PDFBibTeX XMLCite \textit{K. Iskafi} and \textit{A. Ahammou}, Math. Sci., Springer 17, No. 3, 297--304 (2023; Zbl 1523.35153) Full Text: DOI
Karthikeyan, K.; Murugapandian, G. S.; Hammouch, Z. On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions. (English) Zbl 07739761 Math. Sci., Springer 17, No. 3, 285-295 (2023). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34A08 34A09 34B37 34B10 34G20 34A45 47H08 PDFBibTeX XMLCite \textit{K. Karthikeyan} et al., Math. Sci., Springer 17, No. 3, 285--295 (2023; Zbl 07739761) Full Text: DOI
Izadi, Mohammad; Yüzbaşı, Şuayip; Adel, Waleed A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis. (English) Zbl 07739760 Math. Sci., Springer 17, No. 3, 267-284 (2023). MSC: 65Lxx 34Kxx 34Axx PDFBibTeX XMLCite \textit{M. Izadi} et al., Math. Sci., Springer 17, No. 3, 267--284 (2023; Zbl 07739760) Full Text: DOI
Sajjadi, Sayed Arsalan; Najafi, Hashem Saberi; Aminikhah, Hossein An error estimation of a Nyström type method for integral-algebraic equations of index-1. (English) Zbl 1522.65262 Math. Sci., Springer 17, No. 3, 253-265 (2023). MSC: 65R20 45D05 45F15 PDFBibTeX XMLCite \textit{S. A. Sajjadi} et al., Math. Sci., Springer 17, No. 3, 253--265 (2023; Zbl 1522.65262) Full Text: DOI
Mir, Shabir Ahmad; Nisar, K. S.; Akhter, Tawheeda; Araci, Serkan Differential and integrodifferential equations for Gould-Hopper-Frobenius-Euler polynomials. (English) Zbl 07739758 Math. Sci., Springer 17, No. 3, 247-251 (2023). MSC: 33E30 11B68 PDFBibTeX XMLCite \textit{S. A. Mir} et al., Math. Sci., Springer 17, No. 3, 247--251 (2023; Zbl 07739758) Full Text: DOI
Nisar, Kottakkaran Sooppy; Shah, Firdous A. A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation-oscillation equations of fractional order. (English) Zbl 07739757 Math. Sci., Springer 17, No. 3, 233-245 (2023). MSC: 65M70 34A08 42C40 65N35 PDFBibTeX XMLCite \textit{K. S. Nisar} and \textit{F. A. Shah}, Math. Sci., Springer 17, No. 3, 233--245 (2023; Zbl 07739757) Full Text: DOI
Mehravaran, Hamid; Kayvanloo, Hojjatollah Amiri; Allahyari, Reza Measures of noncompactness in the space of regulated functions \(R (J, \mathbb{R}^{\infty})\) and its application to some nonlinear Infinite systems of fractional differential equations. (English) Zbl 07739756 Math. Sci., Springer 17, No. 3, 223-232 (2023). MSC: 47H08 47H10 45E10 PDFBibTeX XMLCite \textit{H. Mehravaran} et al., Math. Sci., Springer 17, No. 3, 223--232 (2023; Zbl 07739756) Full Text: DOI
Sağlam Özkan, Yeşim; Ünal Yılmaz, Esra Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative. (English) Zbl 1517.35246 Math. Sci., Springer 17, No. 2, 203-218 (2023). MSC: 35R11 35C05 35Q55 PDFBibTeX XMLCite \textit{Y. Sağlam Özkan} and \textit{E. Ünal Yılmaz}, Math. Sci., Springer 17, No. 2, 203--218 (2023; Zbl 1517.35246) Full Text: DOI
Taghipour, M.; Aminikhah, H. Application of Pell collocation method for solving the general form of time-fractional Burgers equations. (English) Zbl 1512.65233 Math. Sci., Springer 17, No. 2, 183-201 (2023). MSC: 65M70 65R10 34K37 45J05 PDFBibTeX XMLCite \textit{M. Taghipour} and \textit{H. Aminikhah}, Math. Sci., Springer 17, No. 2, 183--201 (2023; Zbl 1512.65233) Full Text: DOI
Heydari, M. H.; Atangana, A. A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative. (English) Zbl 1518.35630 Math. Sci., Springer 17, No. 2, 169-181 (2023). MSC: 35R11 35A35 35K57 65M12 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{A. Atangana}, Math. Sci., Springer 17, No. 2, 169--181 (2023; Zbl 1518.35630) Full Text: DOI
Doostdar, M. R.; Vahidi, A. R.; Damercheli, T.; Babolian, E. A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD\(4^+\) T cells. (English) Zbl 07695268 Math. Sci., Springer 17, No. 2, 157-167 (2023). MSC: 65-XX 26A33 34A08 34A34 33C45 PDFBibTeX XMLCite \textit{M. R. Doostdar} et al., Math. Sci., Springer 17, No. 2, 157--167 (2023; Zbl 07695268) Full Text: DOI
Rabbani, Mohsen; He, Ji Huan; Düz, Murat Some computational convergent iterative algorithms to solve nonlinear problems. (English) Zbl 07695267 Math. Sci., Springer 17, No. 2, 145-156 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Rabbani} et al., Math. Sci., Springer 17, No. 2, 145--156 (2023; Zbl 07695267) Full Text: DOI
Taherkhani, Sh.; Khalilsaraye, I. Najafi; Ghayebi, B. Numerical solution of the diffusion problem of distributed order based on the sinc-collocation method. (English) Zbl 1512.65234 Math. Sci., Springer 17, No. 2, 133-144 (2023). MSC: 65M70 34K37 65L60 PDFBibTeX XMLCite \textit{Sh. Taherkhani} et al., Math. Sci., Springer 17, No. 2, 133--144 (2023; Zbl 1512.65234) Full Text: DOI
Hasankhani, Fatemeh; Daneshian, Behrouz; Allahviranloo, Tofigh; Khiyabani, Farzin Modarres A new method for solving linear programming problems using Z-numbers’ ranking. (English) Zbl 1528.90292 Math. Sci., Springer 17, No. 2, 121-131 (2023). Reviewer: Karel Zimmermann (Praha) MSC: 90C70 PDFBibTeX XMLCite \textit{F. Hasankhani} et al., Math. Sci., Springer 17, No. 2, 121--131 (2023; Zbl 1528.90292) Full Text: DOI
Zhou, Taichun; Yuan, Zhengrong; Du, Tingsong On the fractional integral inclusions having exponential kernels for interval-valued convex functions. (English) Zbl 1512.26029 Math. Sci., Springer 17, No. 2, 107-120 (2023). MSC: 26D15 26A33 26E50 PDFBibTeX XMLCite \textit{T. Zhou} et al., Math. Sci., Springer 17, No. 2, 107--120 (2023; Zbl 1512.26029) Full Text: DOI
Eslahchi, M. R.; Esmaili, Sakine; Namaki, Neda; Salehi, Rezvan Application of finite difference method in solving a second- and fourth-order PDE blending denoising model. (English) Zbl 07695263 Math. Sci., Springer 17, No. 1, 93-106 (2023). MSC: 65-XX 35K05 65L12 68U10 PDFBibTeX XMLCite \textit{M. R. Eslahchi} et al., Math. Sci., Springer 17, No. 1, 93--106 (2023; Zbl 07695263) Full Text: DOI
Manjeet; Gupta, Rajesh Kumar Symmetry reduction, conservation laws and power series solution of time-fractional variable coefficient Caudrey-Dodd-Gibbon-Sawada-Kotera equation. (English) Zbl 1517.35245 Math. Sci., Springer 17, No. 1, 81-91 (2023). MSC: 35R11 35B06 35C10 PDFBibTeX XMLCite \textit{Manjeet} and \textit{R. K. Gupta}, Math. Sci., Springer 17, No. 1, 81--91 (2023; Zbl 1517.35245) Full Text: DOI
Elsonbaty, Amr; Elsadany, A. A. On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator. (English) Zbl 1516.39009 Math. Sci., Springer 17, No. 1, 67-79 (2023). MSC: 39A70 39A13 39A33 26A33 PDFBibTeX XMLCite \textit{A. Elsonbaty} and \textit{A. A. Elsadany}, Math. Sci., Springer 17, No. 1, 67--79 (2023; Zbl 1516.39009) Full Text: DOI
Torkzadeh, L. Mean-square convergence analysis of the semi-implicit scheme for stochastic differential equations driven by the Wiener processes. (English) Zbl 1512.34158 Math. Sci., Springer 17, No. 1, 59-66 (2023). MSC: 34K50 60H10 41A25 PDFBibTeX XMLCite \textit{L. Torkzadeh}, Math. Sci., Springer 17, No. 1, 59--66 (2023; Zbl 1512.34158) Full Text: DOI
Mesgarani, H.; Adl, A.; Aghdam, Y. Esmaeelzade Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials. (English) Zbl 1519.91288 Math. Sci., Springer 17, No. 1, 51-58 (2023). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G60 65D05 91G20 35R11 PDFBibTeX XMLCite \textit{H. Mesgarani} et al., Math. Sci., Springer 17, No. 1, 51--58 (2023; Zbl 1519.91288) Full Text: DOI
Rasouli, Mansoureh; Fariborzi Araghi, Mohammad Ali; Damercheli, Tayebe Approximate techniques to solve the partial integro-differential equation arising in operational risk: Adomian decomposition method. (English) Zbl 07695258 Math. Sci., Springer 17, No. 1, 43-49 (2023). MSC: 65-XX 41Axx 60Hxx 45Kxx PDFBibTeX XMLCite \textit{M. Rasouli} et al., Math. Sci., Springer 17, No. 1, 43--49 (2023; Zbl 07695258) Full Text: DOI
Heydari, M. H.; Razzaghi, M. Highly accurate solutions for space-time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions. (English) Zbl 07695257 Math. Sci., Springer 17, No. 1, 31-42 (2023). MSC: 65-XX 45-XX PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{M. Razzaghi}, Math. Sci., Springer 17, No. 1, 31--42 (2023; Zbl 07695257) Full Text: DOI
Kai, Yue; Zhang, Kai; Yin, Zhixiang HTR approach to the asymptotic solutions of supersonic boundary layer problem: the case of slow acoustic waves interacting with streamwise isolated wall roughness. (English) Zbl 1516.76070 Math. Sci., Springer 17, No. 1, 21-30 (2023). MSC: 76N20 76J20 76Q05 76M45 76M20 PDFBibTeX XMLCite \textit{Y. Kai} et al., Math. Sci., Springer 17, No. 1, 21--30 (2023; Zbl 1516.76070) Full Text: DOI
Shivanian, Elyas; Ghoncheh, Seyed Jalal Hosseini; Goudarzi, Hojjatollah A unique weak solution for the fractional integro-differential Schrödinger equations. (English) Zbl 1518.35252 Math. Sci., Springer 17, No. 1, 15-19 (2023). MSC: 35J05 35R11 47G20 35A01 35A02 PDFBibTeX XMLCite \textit{E. Shivanian} et al., Math. Sci., Springer 17, No. 1, 15--19 (2023; Zbl 1518.35252) Full Text: DOI
Mahmoudi, Mahmoud; Shojaeizadeh, Tahereh; Darehmiraki, Majid Optimal control of time-fractional convection-diffusion-reaction problem employing compact integrated RBF method. (English) Zbl 1516.49012 Math. Sci., Springer 17, No. 1, 1-14 (2023). MSC: 49J45 65M12 49K40 PDFBibTeX XMLCite \textit{M. Mahmoudi} et al., Math. Sci., Springer 17, No. 1, 1--14 (2023; Zbl 1516.49012) Full Text: DOI
Izadi, Mohammad; Yüzbaşı, Şuayip; Baleanu, Dumitru A Taylor-Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations. (English) Zbl 1510.65195 Math. Sci., Springer 16, No. 4, 459-471 (2022). MSC: 65M06 65M12 65M60 65M15 PDFBibTeX XMLCite \textit{M. Izadi} et al., Math. Sci., Springer 16, No. 4, 459--471 (2022; Zbl 1510.65195) Full Text: DOI
Farshadmoghadam, Farnaz; Azodi, Haman Deilami; Yaghouti, Mohammad Reza An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations. (English) Zbl 1510.65326 Math. Sci., Springer 16, No. 4, 445-458 (2022). MSC: 65R20 45J05 65D12 65D32 PDFBibTeX XMLCite \textit{F. Farshadmoghadam} et al., Math. Sci., Springer 16, No. 4, 445--458 (2022; Zbl 1510.65326) Full Text: DOI
Younis, M.; Bilal, M.; Rehman, S. U.; Seadawy, Aly R.; Rizvi, S. T. R. Perturbed optical solitons with conformable time-space fractional Gerdjikov-Ivanov equation. (English) Zbl 1510.35114 Math. Sci., Springer 16, No. 4, 431-443 (2022). MSC: 35C08 35Q55 35C05 35Q51 PDFBibTeX XMLCite \textit{M. Younis} et al., Math. Sci., Springer 16, No. 4, 431--443 (2022; Zbl 1510.35114) Full Text: DOI
Fardi, M.; Alidousti, J. A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation. (English) Zbl 1510.65190 Math. Sci., Springer 16, No. 4, 417-430 (2022). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{M. Fardi} and \textit{J. Alidousti}, Math. Sci., Springer 16, No. 4, 417--430 (2022; Zbl 1510.65190) Full Text: DOI
Khatoon, Zainav; Sultana, Talat; Khan, Arshad Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory. (English) Zbl 1510.65157 Math. Sci., Springer 16, No. 4, 401-416 (2022). MSC: 65L10 34B05 65D07 65L12 65L20 PDFBibTeX XMLCite \textit{Z. Khatoon} et al., Math. Sci., Springer 16, No. 4, 401--416 (2022; Zbl 1510.65157) Full Text: DOI
Singh, Suruchi; Singh, Swarn; Aggarwal, Anu Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation. (English) Zbl 1510.65267 Math. Sci., Springer 16, No. 4, 389-400 (2022). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{S. Singh} et al., Math. Sci., Springer 16, No. 4, 389--400 (2022; Zbl 1510.65267) Full Text: DOI
Güngör, Nihan A note on linear non-Newtonian Volterra integral equations. (English) Zbl 1510.45001 Math. Sci., Springer 16, No. 4, 373-387 (2022); correction ibid. 17, No. 2, 219 (2023). MSC: 45D05 46A45 45B05 PDFBibTeX XMLCite \textit{N. Güngör}, Math. Sci., Springer 16, No. 4, 373--387 (2022; Zbl 1510.45001) Full Text: DOI
Gokmen, Elcin; Isik, Osman Raşit A numerical method to solve fractional pantograph differential equations with residual error analysis. (English) Zbl 1510.65138 Math. Sci., Springer 16, No. 4, 361-371 (2022). MSC: 65L05 65L60 34A08 PDFBibTeX XMLCite \textit{E. Gokmen} and \textit{O. R. Isik}, Math. Sci., Springer 16, No. 4, 361--371 (2022; Zbl 1510.65138) 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
Günel, Korhan; Gör, İclal Solving Dirichlet boundary problems for ODEs via swarm intelligence. (English) Zbl 1510.65155 Math. Sci., Springer 16, No. 4, 325-341 (2022). MSC: 65L10 68Q06 68T05 68T20 68W50 90C59 PDFBibTeX XMLCite \textit{K. Günel} and \textit{İ. Gör}, Math. Sci., Springer 16, No. 4, 325--341 (2022; Zbl 1510.65155) Full Text: DOI
Mirzaie, Reza; Rezaei, Omid Some concave functions on Lorentzian manifolds. (English) Zbl 1510.53082 Math. Sci., Springer 16, No. 3, 317-322 (2022). MSC: 53C50 53C80 PDFBibTeX XMLCite \textit{R. Mirzaie} and \textit{O. Rezaei}, Math. Sci., Springer 16, No. 3, 317--322 (2022; Zbl 1510.53082) Full Text: DOI
Chutia, Rituparna; Saikia, Sunayana; Gogoi, Mridul Krishna A theoretical approach to ranking of parametric fuzzy numbers using value and left-right ambiguity. (English) Zbl 1510.03022 Math. Sci., Springer 16, No. 3, 299-315 (2022). MSC: 03E72 PDFBibTeX XMLCite \textit{R. Chutia} et al., Math. Sci., Springer 16, No. 3, 299--315 (2022; Zbl 1510.03022) Full Text: DOI
Lee, Khai Chien; Senu, Norazak; Ahmadian, Ali; Ibrahim, Siti Nur Iqmal High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge-Kutta-type methods for solving third-order oscillatory problems. (English) Zbl 1510.65145 Math. Sci., Springer 16, No. 3, 281-297 (2022). MSC: 65L06 65L05 76M99 PDFBibTeX XMLCite \textit{K. C. Lee} et al., Math. Sci., Springer 16, No. 3, 281--297 (2022; Zbl 1510.65145) Full Text: DOI
Durur, Hülya; Yokuş, Asıf Discussions on diffraction and the dispersion for traveling wave solutions of the (2+1)-dimensional paraxial wave equation. (English) Zbl 1510.35107 Math. Sci., Springer 16, No. 3, 269-279 (2022). MSC: 35C08 35R11 78A60 35Q55 PDFBibTeX XMLCite \textit{H. Durur} and \textit{A. Yokuş}, Math. Sci., Springer 16, No. 3, 269--279 (2022; Zbl 1510.35107) Full Text: DOI
Hosseiny, Raziye Mohammad; Allahviranloo, Tofigh; Abbasbandy, Saeid; Babolian, Esmail Reproducing kernel method to solve non-local fractional boundary value problem. (English) Zbl 1510.65156 Math. Sci., Springer 16, No. 3, 261-268 (2022). MSC: 65L10 26A33 34A08 65R20 34B10 PDFBibTeX XMLCite \textit{R. M. Hosseiny} et al., Math. Sci., Springer 16, No. 3, 261--268 (2022; Zbl 1510.65156) Full Text: DOI
Aleomraninejad, Seyed Mohammad Ali; Solaimani, Mehdi Electronic spectrum of linear Schrödinger equations by sinc-Galerkin and sinc-collocation methods. (Electronic spectrum of linear Schrodinger equations by sinc-Galerkin and sinc-collocation methods.) (English) Zbl 1510.65162 Math. Sci., Springer 16, No. 3, 251-260 (2022). MSC: 65L15 65L60 65Z05 35Q55 PDFBibTeX XMLCite \textit{S. M. A. Aleomraninejad} and \textit{M. Solaimani}, Math. Sci., Springer 16, No. 3, 251--260 (2022; Zbl 1510.65162) Full Text: DOI
Babaie Asil, Hamidreza; Kazemi Matin, Reza; Khounsiavash, Mohsen; Moghadas, Zohreh A modified semi-oriented radial measure to deal with negative and stochastic data: an application in banking industry. (English) Zbl 1510.90143 Math. Sci., Springer 16, No. 3, 237-249 (2022). MSC: 90B50 90C15 90C08 90C05 PDFBibTeX XMLCite \textit{H. Babaie Asil} et al., Math. Sci., Springer 16, No. 3, 237--249 (2022; Zbl 1510.90143) Full Text: DOI
Rostami, Yaser A new wavelet method for solving a class of nonlinear partial integro-differential equations with weakly singular kernels. (English) Zbl 1510.65328 Math. Sci., Springer 16, No. 3, 225-235 (2022). MSC: 65R20 65T60 45K05 PDFBibTeX XMLCite \textit{Y. Rostami}, Math. Sci., Springer 16, No. 3, 225--235 (2022; Zbl 1510.65328) Full Text: DOI
Özer, Sibel Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau-Kawahara equation. (English) Zbl 1510.65201 Math. Sci., Springer 16, No. 3, 213-224 (2022). MSC: 65M06 65M70 65M12 35Q53 PDFBibTeX XMLCite \textit{S. Özer}, Math. Sci., Springer 16, No. 3, 213--224 (2022; Zbl 1510.65201) Full Text: DOI
Arab, Gholam Hossein; Toomanian, Megerdich On decomposition of generalized Riemannian symmetric spaces and complete lifts of Clifford translations. (English) Zbl 1496.53070 Math. Sci., Springer 16, No. 2, 207-211 (2022). MSC: 53C35 53C30 PDFBibTeX XMLCite \textit{G. H. Arab} and \textit{M. Toomanian}, Math. Sci., Springer 16, No. 2, 207--211 (2022; Zbl 1496.53070) Full Text: DOI
Başhan, Ali Nonlinear dynamics of the Burgers’ equation and numerical experiments. (English) Zbl 1496.65105 Math. Sci., Springer 16, No. 2, 183-205 (2022). MSC: 65M06 65D07 76L05 PDFBibTeX XMLCite \textit{A. Başhan}, Math. Sci., Springer 16, No. 2, 183--205 (2022; Zbl 1496.65105) Full Text: DOI
Gao, Y.; Li, X. Y.; Wu, B. Y. A continuous kernel functions method for mixed-type functional differential equations. (English) Zbl 1496.65082 Math. Sci., Springer 16, No. 2, 177-182 (2022). MSC: 65L03 34H05 PDFBibTeX XMLCite \textit{Y. Gao} et al., Math. Sci., Springer 16, No. 2, 177--182 (2022; Zbl 1496.65082) Full Text: DOI
Seshagiri Rao, N.; Kalyani, K. Some fixed point results of \((\phi, \psi,\theta)\)-contractive mappings in ordered \(b\)-metric spaces. (English) Zbl 1494.54068 Math. Sci., Springer 16, No. 2, 163-175 (2022). MSC: 54H25 54E40 54F05 PDFBibTeX XMLCite \textit{N. Seshagiri Rao} and \textit{K. Kalyani}, Math. Sci., Springer 16, No. 2, 163--175 (2022; Zbl 1494.54068) Full Text: DOI
Fakhar, R.; Lamnii, A.; Nour, M.-Y.; Zidna, A. Mixed hyperbolic/trigonometric non-stationary subdivision scheme. (English) Zbl 1496.65018 Math. Sci., Springer 16, No. 2, 149-162 (2022). MSC: 65D10 65D17 PDFBibTeX XMLCite \textit{R. Fakhar} et al., Math. Sci., Springer 16, No. 2, 149--162 (2022; Zbl 1496.65018) Full Text: DOI
Mohammed, Shehu Shagari; Fulatan, Ibrahim Aliyu Fuzzy fixed point results via simulation functions. (English) Zbl 1496.54051 Math. Sci., Springer 16, No. 2, 137-148 (2022). MSC: 54H25 47H10 54E40 54A40 PDFBibTeX XMLCite \textit{S. S. Mohammed} and \textit{I. A. Fulatan}, Math. Sci., Springer 16, No. 2, 137--148 (2022; Zbl 1496.54051) Full Text: DOI
Alaeiyan, Mehdi; Alaeiyan, Efat Perfect 2-colorings of the Johnson graph \(J(9, 4)\). (English) Zbl 1496.05046 Math. Sci., Springer 16, No. 2, 133-136 (2022). MSC: 05C15 PDFBibTeX XMLCite \textit{M. Alaeiyan} and \textit{E. Alaeiyan}, Math. Sci., Springer 16, No. 2, 133--136 (2022; Zbl 1496.05046) Full Text: DOI
Zafar, Zain Ul Abadin; Sene, Ndolane; Rezazadeh, Hadi; Esfandian, Nafiseh Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel. (English) Zbl 1496.34025 Math. Sci., Springer 16, No. 2, 121-131 (2022). MSC: 34A08 PDFBibTeX XMLCite \textit{Z. U. A. Zafar} et al., Math. Sci., Springer 16, No. 2, 121--131 (2022; Zbl 1496.34025) Full Text: DOI
Ferizović, Damir On the \(L^2\)-norm of Gegenbauer polynomials. (English) Zbl 1496.33009 Math. Sci., Springer 16, No. 2, 115-119 (2022). MSC: 33C45 41A60 PDFBibTeX XMLCite \textit{D. Ferizović}, Math. Sci., Springer 16, No. 2, 115--119 (2022; Zbl 1496.33009) Full Text: DOI arXiv
Farbod, Davood Modeling and simulation studies for some truncated discrete distributions generated by stable densities. (English) Zbl 1496.62057 Math. Sci., Springer 16, No. 2, 105-114 (2022). MSC: 62F10 60E07 62P10 PDFBibTeX XMLCite \textit{D. Farbod}, Math. Sci., Springer 16, No. 2, 105--114 (2022; Zbl 1496.62057) Full Text: DOI
El-Gamel, Mohamed; Adel, Waleed; El-Azab, M. S. Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points. (English) Zbl 1486.65083 Math. Sci., Springer 16, No. 1, 97-104 (2022). MSC: 65L15 34L16 65L60 PDFBibTeX XMLCite \textit{M. El-Gamel} et al., Math. Sci., Springer 16, No. 1, 97--104 (2022; Zbl 1486.65083) Full Text: DOI
Noghrei, Nafiseh; Kerayechian, Asghar; Soheili, Ali R. Gaussian radial basis function and quadrature sinc method for two-dimensional space-fractional diffusion equations. (English) Zbl 1486.65207 Math. Sci., Springer 16, No. 1, 87-96 (2022). MSC: 65M70 35R11 65D12 76R50 PDFBibTeX XMLCite \textit{N. Noghrei} et al., Math. Sci., Springer 16, No. 1, 87--96 (2022; Zbl 1486.65207) Full Text: DOI
Choudhary, Anu; Raj, Kuldip; Mursaleen, M. Compact operators on spaces of binomial fractional difference sequences. (English) Zbl 1492.47039 Math. Sci., Springer 16, No. 1, 79-85 (2022). MSC: 47B37 40A05 46A45 46B45 PDFBibTeX XMLCite \textit{A. Choudhary} et al., Math. Sci., Springer 16, No. 1, 79--85 (2022; Zbl 1492.47039) Full Text: DOI
Nemer, Ahlem; Mokhtari, Zouhir; Kaboul, Hanane Product integration method for treating a nonlinear Volterra integral equation with a weakly singular kernel. (English) Zbl 1486.65297 Math. Sci., Springer 16, No. 1, 71-78 (2022). MSC: 65R20 45E10 45G10 45D05 PDFBibTeX XMLCite \textit{A. Nemer} et al., Math. Sci., Springer 16, No. 1, 71--78 (2022; Zbl 1486.65297) Full Text: DOI
Yalçın, Elif; Sezer, Mehmet A compatible Hermite-Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent variables with functional bounds. (English) Zbl 1486.65213 Math. Sci., Springer 16, No. 1, 59-69 (2022). MSC: 65M70 45K05 PDFBibTeX XMLCite \textit{E. Yalçın} and \textit{M. Sezer}, Math. Sci., Springer 16, No. 1, 59--69 (2022; Zbl 1486.65213) Full Text: DOI
Nouri, K. Improving split-step forward methods by ODE solver for stiff stochastic differential equations. (English) Zbl 1486.65012 Math. Sci., Springer 16, No. 1, 51-57 (2022). MSC: 65C30 60H10 PDFBibTeX XMLCite \textit{K. Nouri}, Math. Sci., Springer 16, No. 1, 51--57 (2022; Zbl 1486.65012) Full Text: DOI
El-Morshedy, M.; Altun, Emrah; Eliwa, M. S. A new statistical approach to model the counts of novel coronavirus cases. (English) Zbl 1486.62280 Math. Sci., Springer 16, No. 1, 37-50 (2022). MSC: 62P10 62E10 62F10 62N05 60E05 92B15 PDFBibTeX XMLCite \textit{M. El-Morshedy} et al., Math. Sci., Springer 16, No. 1, 37--50 (2022; Zbl 1486.62280) Full Text: DOI
Mahboubi, Morassa; Kordrostami, Sohrab; Amirteimoori, Alireza; Ghane-Kanafi, Armin Undesirable factors and marginal rates of substitution in data envelopment analysis. (English) Zbl 1486.90106 Math. Sci., Springer 16, No. 1, 23-35 (2022). MSC: 90B50 PDFBibTeX XMLCite \textit{M. Mahboubi} et al., Math. Sci., Springer 16, No. 1, 23--35 (2022; Zbl 1486.90106) Full Text: DOI
Gürbüz, Burcu A numerical scheme for the solution of neutral integro-differential equations including variable delay. (English) Zbl 1486.65085 Math. Sci., Springer 16, No. 1, 13-21 (2022). MSC: 65L60 45J05 PDFBibTeX XMLCite \textit{B. Gürbüz}, Math. Sci., Springer 16, No. 1, 13--21 (2022; Zbl 1486.65085) Full Text: DOI
Mirzaeian, Fatemeh; Fallahnejad, Reza Estimation of cost efficiency with piecewise linear cost function in integer-valued data envelopment analysis. (English) Zbl 1486.90109 Math. Sci., Springer 16, No. 1, 1-11 (2022). MSC: 90B50 90C08 90C11 PDFBibTeX XMLCite \textit{F. Mirzaeian} and \textit{R. Fallahnejad}, Math. Sci., Springer 16, No. 1, 1--11 (2022; Zbl 1486.90109) Full Text: DOI
Abel, Ulrich; Gupta, Vijay; Kushnirevych, Vitaliy Asymptotic expansions for certain exponential-type operators connected with \(2x^{3/2}\). (English) Zbl 1486.41009 Math. Sci., Springer 15, No. 3, 311-315 (2021). MSC: 41A36 41A60 PDFBibTeX XMLCite \textit{U. Abel} et al., Math. Sci., Springer 15, No. 3, 311--315 (2021; Zbl 1486.41009) Full Text: DOI
Işık, Hüseyin; Parvaneh, Vahid; Haddadi, Mohammad Reza Strong and pure fixed point properties of mappings on normed spaces. (English) Zbl 1492.47057 Math. Sci., Springer 15, No. 3, 305-309 (2021). MSC: 47H10 41A65 PDFBibTeX XMLCite \textit{H. Işık} et al., Math. Sci., Springer 15, No. 3, 305--309 (2021; Zbl 1492.47057) Full Text: DOI
Zhang, Bo; Tang, Yinggan; Zhang, Xuguang Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions. (English) Zbl 1486.35452 Math. Sci., Springer 15, No. 3, 293-304 (2021). MSC: 35R11 PDFBibTeX XMLCite \textit{B. Zhang} et al., Math. Sci., Springer 15, No. 3, 293--304 (2021; Zbl 1486.35452) Full Text: DOI
Badyakar, Utpal; Nazmul, Sk. Some fixed soft point results on soft S-metric spaces. (English) Zbl 1486.54041 Math. Sci., Springer 15, No. 3, 283-291 (2021). MSC: 54E50 54A40 54E35 47H10 06D72 PDFBibTeX XMLCite \textit{U. Badyakar} and \textit{Sk. Nazmul}, Math. Sci., Springer 15, No. 3, 283--291 (2021; Zbl 1486.54041) Full Text: DOI
Prakash, Amit; Kumar, Ajay; Baskonus, Haci Mehmet; Kumar, Ashok Numerical analysis of nonlinear fractional Klein-Fock-Gordon equation arising in quantum field theory via Caputo-Fabrizio fractional operator. (English) Zbl 1486.35446 Math. Sci., Springer 15, No. 3, 269-281 (2021). MSC: 35R11 PDFBibTeX XMLCite \textit{A. Prakash} et al., Math. Sci., Springer 15, No. 3, 269--281 (2021; Zbl 1486.35446) Full Text: DOI
Hashemi, Mansour; Pirzadeh, Mina; Gorjian, Shoja Ali Some numerical results on the wreath product of \(Z_p\) and \(Z_{p^n}\). (English) Zbl 1486.20083 Math. Sci., Springer 15, No. 3, 253-258 (2021). MSC: 20P05 20E22 PDFBibTeX XMLCite \textit{M. Hashemi} et al., Math. Sci., Springer 15, No. 3, 253--258 (2021; Zbl 1486.20083) Full Text: DOI
Das, Anupam; Hazarika, Bipan; Parvaneh, Vahid; Mursaleen, M. Solvability of generalized fractional order integral equations via measures of noncompactness. (English) Zbl 1492.47103 Math. Sci., Springer 15, No. 3, 241-251 (2021). MSC: 47N20 47H10 47H08 45G10 PDFBibTeX XMLCite \textit{A. Das} et al., Math. Sci., Springer 15, No. 3, 241--251 (2021; Zbl 1492.47103) Full Text: DOI
Rezaei, Rezvan; Yari, Gholamhossein Keyfitz entropy: investigating some mathematical properties and its application for estimating survival function in life table. (English) Zbl 1486.94042 Math. Sci., Springer 15, No. 3, 229-240 (2021). MSC: 94A17 PDFBibTeX XMLCite \textit{R. Rezaei} and \textit{G. Yari}, Math. Sci., Springer 15, No. 3, 229--240 (2021; Zbl 1486.94042) Full Text: DOI
Daryakenari, Nina; Allahviranloo, Tofigh; Nouri, Mostafa Providing a model for predicting futures contract of gold coin price by using models based on \(Z\)-numbers. (English) Zbl 1486.91055 Math. Sci., Springer 15, No. 3, 215-228 (2021). MSC: 91B99 PDFBibTeX XMLCite \textit{N. Daryakenari} et al., Math. Sci., Springer 15, No. 3, 215--228 (2021; Zbl 1486.91055) Full Text: DOI
Zanboori, AhmadReza; Zare, Karim; Khodadadi, Zahra A new modified exponential-geometric distribution: properties and applications. (English) Zbl 1486.60031 Math. Sci., Springer 15, No. 4, 413-424 (2021). MSC: 60E05 62F12 PDFBibTeX XMLCite \textit{A. Zanboori} et al., Math. Sci., Springer 15, No. 4, 413--424 (2021; Zbl 1486.60031) Full Text: DOI
Ali, Mahvish; Qureshi, Mohammad Idris A new class of mixed Bessel functions via integral transforms. (English) Zbl 1486.33005 Math. Sci., Springer 15, No. 4, 405-411 (2021). MSC: 33C10 26A33 44A20 PDFBibTeX XMLCite \textit{M. Ali} and \textit{M. I. Qureshi}, Math. Sci., Springer 15, No. 4, 405--411 (2021; Zbl 1486.33005) Full Text: DOI
Ali, Amjad; Khan, Nabeela; Israr, Seema On establishing qualitative theory to nonlinear boundary value problem of fractional differential equations. (English) Zbl 1486.34012 Math. Sci., Springer 15, No. 4, 395-403 (2021). MSC: 34A08 26A33 34B10 35A08 45G10 47H10 PDFBibTeX XMLCite \textit{A. Ali} et al., Math. Sci., Springer 15, No. 4, 395--403 (2021; Zbl 1486.34012) Full Text: DOI
Koyunbakan, Hikmet; Mosazadeh, Seyfollah Inverse nodal problem for discontinuous Sturm-Liouville operator by new Prüfer substitutions. (English) Zbl 1486.34056 Math. Sci., Springer 15, No. 4, 387-394 (2021). MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{H. Koyunbakan} and \textit{S. Mosazadeh}, Math. Sci., Springer 15, No. 4, 387--394 (2021; Zbl 1486.34056) Full Text: DOI
Pourgholam, A.; Sabbaghan, M. \(S_H\)-metric spaces and fixed-point theorems for multi-valued weak contraction mappings. (English) Zbl 1486.54069 Math. Sci., Springer 15, No. 4, 377-385 (2021). MSC: 54H25 54C60 54E40 PDFBibTeX XMLCite \textit{A. Pourgholam} and \textit{M. Sabbaghan}, Math. Sci., Springer 15, No. 4, 377--385 (2021; Zbl 1486.54069) Full Text: DOI
Rasoulizadeh, M. N.; Nikan, O.; Avazzadeh, Z. The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation. (English) Zbl 1486.65126 Math. Sci., Springer 15, No. 4, 365-376 (2021). MSC: 65M06 65D12 65M12 65M15 PDFBibTeX XMLCite \textit{M. N. Rasoulizadeh} et al., Math. Sci., Springer 15, No. 4, 365--376 (2021; Zbl 1486.65126) Full Text: DOI
Manafian, Jalil; Ilhan, Onur Alp; Mohyaldeen, Sherin Youns; Zeynalli, Subhiya M.; Singh, Gurpreet New strategic method for fractional mitigating Internet bottleneck with quadratic-cubic nonlinearity. (English) Zbl 1486.35398 Math. Sci., Springer 15, No. 4, 345-364 (2021). MSC: 35Q94 PDFBibTeX XMLCite \textit{J. Manafian} et al., Math. Sci., Springer 15, No. 4, 345--364 (2021; Zbl 1486.35398) Full Text: DOI
Bakhshmohammadlou, Minoo; Farnoosh, Rahman Hedging of options for jump-diffusion stochastic volatility models by Malliavin calculus. (English) Zbl 1486.60071 Math. Sci., Springer 15, No. 4, 337-343 (2021). MSC: 60H07 60H10 60J76 91B70 91G20 PDFBibTeX XMLCite \textit{M. Bakhshmohammadlou} and \textit{R. Farnoosh}, Math. Sci., Springer 15, No. 4, 337--343 (2021; Zbl 1486.60071) Full Text: DOI
Srivastava, H. M.; Saadati, Reza; Jang, Sun Young Bi-additive \(\sigma \)-random operator inequalities and random quasi-\(*\)-multipliers on MB-algebras. (English) Zbl 1486.54047 Math. Sci., Springer 15, No. 4, 325-336 (2021). MSC: 54H12 43A22 46L05 47H10 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Math. Sci., Springer 15, No. 4, 325--336 (2021; Zbl 1486.54047) Full Text: DOI
Rabbani, Mohsen; Deep, Amar; Deepmala On some generalized non-linear functional integral equations of two variables via measures of noncompactness and numerical method to solve it. (English) Zbl 1486.45008 Math. Sci., Springer 15, No. 4, 317-324 (2021). MSC: 45G10 47H08 47H10 PDFBibTeX XMLCite \textit{M. Rabbani} et al., Math. Sci., Springer 15, No. 4, 317--324 (2021; Zbl 1486.45008) Full Text: DOI