Lin, Guoxing Describing NMR chemical exchange by effective phase diffusion approach. (English) Zbl 1522.81784 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107402, 17 p. (2023). MSC: 81V55 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107402, 17 p. (2023; Zbl 1522.81784) Full Text: DOI arXiv
Admon, Mohd Rashid; Senu, Norazak; Ahmadian, Ali; Abdul Majid, Zanariah; Salahshour, Soheil A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order. (English) Zbl 07634596 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106968, 27 p. (2023). MSC: 65Lxx 34Axx 26Axx PDFBibTeX XMLCite \textit{M. R. Admon} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106968, 27 p. (2023; Zbl 07634596) Full Text: DOI
Lin, Guoxing Describing NMR relaxation by effective phase diffusion equation. (English) Zbl 1469.78002 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021). MSC: 78A25 33E12 60G60 44A10 42A38 34A08 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021; Zbl 1469.78002) Full Text: DOI arXiv
Ezz-Eldien, S. S.; Doha, E. H.; Wang, Y.; Cai, W. A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 1458.65131 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105445, 15 p. (2020). Reviewer: Hendrik Ranocha (Münster) MSC: 65M70 65M12 35R11 33C45 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105445, 15 p. (2020; Zbl 1458.65131) Full Text: DOI
Lin, Guoxing Describe NMR relaxation by anomalous rotational or translational diffusion. (English) Zbl 1450.81067 Commun. Nonlinear Sci. Numer. Simul. 72, 232-239 (2019); corrigendum ibid. 83, Article ID 105154, 1 p. (2020). MSC: 81V35 81V10 33E12 82B24 82B30 82D60 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 72, 232--239 (2019; Zbl 1450.81067) Full Text: DOI arXiv
Feng, Libo; Liu, Fawang; Turner, Ian Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. (English) Zbl 1464.65119 Commun. Nonlinear Sci. Numer. Simul. 70, 354-371 (2019). MSC: 65M60 PDFBibTeX XMLCite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 354--371 (2019; Zbl 1464.65119) Full Text: DOI Link
Lin, Guoxing General pulsed-field gradient signal attenuation expression based on a fractional integral modified-Bloch equation. (English) Zbl 1528.94016 Commun. Nonlinear Sci. Numer. Simul. 63, 404-420 (2018). MSC: 94A12 92C55 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 63, 404--420 (2018; Zbl 1528.94016) Full Text: DOI arXiv
Zhokh, Alexey A.; Strizhak, Peter E. Modeling methanol transfer in the mesoporous catalyst for the methanol-to-olefins reaction by the time-fractional diffusion equation. (English) Zbl 1510.82043 Commun. Nonlinear Sci. Numer. Simul. 57, 359-371 (2018). MSC: 82C70 PDFBibTeX XMLCite \textit{A. A. Zhokh} and \textit{P. E. Strizhak}, Commun. Nonlinear Sci. Numer. Simul. 57, 359--371 (2018; Zbl 1510.82043) Full Text: DOI
Naeem, Imran; Khan, M. D. Symmetry classification of time-fractional diffusion equation. (English) Zbl 1473.35632 Commun. Nonlinear Sci. Numer. Simul. 42, 560-570 (2017). MSC: 35R11 35A30 PDFBibTeX XMLCite \textit{I. Naeem} and \textit{M. D. Khan}, Commun. Nonlinear Sci. Numer. Simul. 42, 560--570 (2017; Zbl 1473.35632) Full Text: DOI
Chen, Wenting; Du, Meiyu; Xu, Xiang An explicit closed-form analytical solution for European options under the CGMY model. (English) Zbl 1473.91020 Commun. Nonlinear Sci. Numer. Simul. 42, 285-297 (2017). MSC: 91G20 26A33 35R11 PDFBibTeX XMLCite \textit{W. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 42, 285--297 (2017; Zbl 1473.91020) Full Text: DOI
Brzeziński, Dariusz W.; Ostalczyk, Piotr About accuracy increase of fractional order derivative and integral computations by applying the Grünwald-Letnikov formula. (English) Zbl 1510.65048 Commun. Nonlinear Sci. Numer. Simul. 40, 151-162 (2016). MSC: 65D25 26A33 65D30 PDFBibTeX XMLCite \textit{D. W. Brzeziński} and \textit{P. Ostalczyk}, Commun. Nonlinear Sci. Numer. Simul. 40, 151--162 (2016; Zbl 1510.65048) Full Text: DOI
Awotunde, Abeeb A.; Ghanam, Ryad A.; Al-Homidan, Suliman S.; Tatar, Nasser-eddine Numerical schemes for anomalous diffusion of single-phase fluids in porous media. (English) Zbl 1459.76114 Commun. Nonlinear Sci. Numer. Simul. 39, 381-395 (2016). MSC: 76M99 76R50 76S05 26A33 86A05 PDFBibTeX XMLCite \textit{A. A. Awotunde} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 381--395 (2016; Zbl 1459.76114) Full Text: DOI
Butera, Salvatore; Di Paola, Mario Mellin transform approach for the solution of coupled systems of fractional differential equations. (English) Zbl 1311.34012 Commun. Nonlinear Sci. Numer. Simul. 20, No. 1, 32-38 (2015). MSC: 34A08 44A15 34A45 PDFBibTeX XMLCite \textit{S. Butera} and \textit{M. Di Paola}, Commun. Nonlinear Sci. Numer. Simul. 20, No. 1, 32--38 (2015; Zbl 1311.34012) Full Text: DOI arXiv
Butera, Salvatore; Di Paola, Mario Fractional differential equations solved by using Mellin transform. (English) Zbl 1457.34007 Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2220-2227 (2014); corrigendum ibid. 22, No. 1-3, 1382 (2015). MSC: 34A08 44A15 34A45 PDFBibTeX XMLCite \textit{S. Butera} and \textit{M. Di Paola}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2220--2227 (2014; Zbl 1457.34007) Full Text: DOI arXiv
Kadem, Abdelouahab; Baleanu, Dumitru Solution of a fractional transport equation by using the generalized quadratic form. (English) Zbl 1220.45006 Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3011-3014 (2011). MSC: 45J05 26A33 82C70 PDFBibTeX XMLCite \textit{A. Kadem} and \textit{D. Baleanu}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3011--3014 (2011; Zbl 1220.45006) Full Text: DOI
Bhalekar, Sachin; Daftardar-Gejji, Varsha Fractional ordered Liu system with time-delay. (English) Zbl 1222.34005 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2178-2191 (2010). MSC: 34A08 34D20 37D45 45J05 26A33 65L06 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{V. Daftardar-Gejji}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2178--2191 (2010; Zbl 1222.34005) Full Text: DOI
Cresson, Jacky Inverse problem of fractional calculus of variations for partial differential equations. (English) Zbl 1221.35447 Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 987-996 (2010). MSC: 35R30 35R11 PDFBibTeX XMLCite \textit{J. Cresson}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 987--996 (2010; Zbl 1221.35447) Full Text: DOI
Jafari, H.; Seifi, S. Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. (English) Zbl 1221.65278 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2006-2012 (2009). MSC: 65M99 35G15 PDFBibTeX XMLCite \textit{H. Jafari} and \textit{S. Seifi}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2006--2012 (2009; Zbl 1221.65278) Full Text: DOI
Ray, Santanu Saha Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method. (English) Zbl 1221.65284 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1295-1306 (2009). MSC: 65M99 35K57 35A25 35C05 PDFBibTeX XMLCite \textit{S. S. Ray}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1295--1306 (2009; Zbl 1221.65284) Full Text: DOI