Ma, Fugui; Zhao, Lijing; Deng, Weihua; Wang, Yejuan Analyses of the contour integral method for time fractional normal-subdiffusion transport equation. (English) Zbl 1526.35293 J. Sci. Comput. 97, No. 2, Paper No. 45, 40 p. (2023). MSC: 35R11 35B65 35Q49 65D30 65M15 PDFBibTeX XMLCite \textit{F. Ma} et al., J. Sci. Comput. 97, No. 2, Paper No. 45, 40 p. (2023; Zbl 1526.35293) Full Text: DOI arXiv
Pu, Tianyi; Fasondini, Marco The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers. (English) Zbl 1505.62519 Adv. Comput. Math. 49, No. 1, Paper No. 7, 40 p. (2023). MSC: 65R20 26A33 33E12 45A05 PDFBibTeX XMLCite \textit{T. Pu} and \textit{M. Fasondini}, Adv. Comput. Math. 49, No. 1, Paper No. 7, 40 p. (2023; Zbl 1505.62519) Full Text: DOI arXiv
Eshaghi, Shiva; Tavazoei, Mohammad Saleh Finiteness conditions for performance indices in generalized fractional-order systems defined based on the regularized Prabhakar derivative. (English) Zbl 1505.93246 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106979, 17 p. (2023). MSC: 93D99 33E12 26A33 PDFBibTeX XMLCite \textit{S. Eshaghi} and \textit{M. S. Tavazoei}, Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106979, 17 p. (2023; Zbl 1505.93246) Full Text: DOI
Bokhari, Ahmed; Baleanu, Dumitru; Belgacem, Rachid Regularized Prabhakar derivative for partial differential equations. (English) Zbl 07665251 Comput. Methods Differ. Equ. 10, No. 3, 726-737 (2022). MSC: 35R11 26A33 65R10 33E12 35A22 PDFBibTeX XMLCite \textit{A. Bokhari} et al., Comput. Methods Differ. Equ. 10, No. 3, 726--737 (2022; Zbl 07665251) Full Text: DOI
Shivanian, Elyas Error estimate and stability analysis on the study of a high-order nonlinear fractional differential equation with Caputo-derivative and integral boundary condition. (English) Zbl 1513.34036 Comput. Appl. Math. 41, No. 8, Paper No. 395, 20 p. (2022). MSC: 34A08 34B15 34B10 47N20 65L10 PDFBibTeX XMLCite \textit{E. Shivanian}, Comput. Appl. Math. 41, No. 8, Paper No. 395, 20 p. (2022; Zbl 1513.34036) Full Text: DOI
Nguyen Minh Dien; Tran Quoc Viet On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions. (English) Zbl 1524.34143 Int. J. Comput. Math. 99, No. 9, 1823-1848 (2022). MSC: 34G20 34A08 26A33 34B15 47N20 34B08 PDFBibTeX XMLCite \textit{Nguyen Minh Dien} and \textit{Tran Quoc Viet}, Int. J. Comput. Math. 99, No. 9, 1823--1848 (2022; Zbl 1524.34143) Full Text: DOI
Bagherzadeh Tavasani, B.; Refahi Sheikhani, A. H.; Aminikhah, H. Numerical simulation of the variable order fractional integro-differential equation via Chebyshev polynomials. (English. Russian original) Zbl 1495.65238 Math. Notes 111, No. 5, 688-700 (2022); translation from Mat. Zametki 111, No. 5, 676-691 (2022). MSC: 65R20 35R11 45K05 65M70 PDFBibTeX XMLCite \textit{B. Bagherzadeh Tavasani} et al., Math. Notes 111, No. 5, 688--700 (2022; Zbl 1495.65238); translation from Mat. Zametki 111, No. 5, 676--691 (2022) Full Text: DOI
Colbrook, Matthew J.; Ayton, Lorna J. A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations. (English) Zbl 07518066 J. Comput. Phys. 454, Article ID 110995, 24 p. (2022). MSC: 65Mxx 65Rxx 65Lxx PDFBibTeX XMLCite \textit{M. J. Colbrook} and \textit{L. J. Ayton}, J. Comput. Phys. 454, Article ID 110995, 24 p. (2022; Zbl 07518066) Full Text: DOI arXiv
Marasi, H. R.; Derakhshan, M. H. Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysis. (English) Zbl 1524.65971 Comput. Appl. Math. 41, No. 3, Paper No. 106, 19 p. (2022). MSC: 65R20 34K37 45J05 65L60 65T60 PDFBibTeX XMLCite \textit{H. R. Marasi} and \textit{M. H. Derakhshan}, Comput. Appl. Math. 41, No. 3, Paper No. 106, 19 p. (2022; Zbl 1524.65971) Full Text: DOI
Oliveira, D. S. Properties of \(\psi\)-Mittag-Leffler fractional integrals. (English) Zbl 1496.33012 Rend. Circ. Mat. Palermo (2) 71, No. 1, 233-246 (2022). MSC: 33E12 26A33 34A08 PDFBibTeX XMLCite \textit{D. S. Oliveira}, Rend. Circ. Mat. Palermo (2) 71, No. 1, 233--246 (2022; Zbl 1496.33012) Full Text: DOI
Garrappa, Roberto; Giusti, Andrea; Mainardi, Francesco Variable-order fractional calculus: a change of perspective. (English) Zbl 1471.26002 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105904, 16 p. (2021). MSC: 26A33 31A10 44A10 PDFBibTeX XMLCite \textit{R. Garrappa} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105904, 16 p. (2021; Zbl 1471.26002) Full Text: DOI arXiv
Garrappa, Roberto; Kaslik, Eva Stability of fractional-order systems with Prabhakar derivatives. (English) Zbl 1517.34005 Nonlinear Dyn. 102, No. 1, 567-578 (2020). MSC: 34A08 34D20 26A33 65L07 45M10 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{E. Kaslik}, Nonlinear Dyn. 102, No. 1, 567--578 (2020; Zbl 1517.34005) Full Text: DOI arXiv
Mohammed, Pshtiwan Othman; Abdeljawad, Thabet Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel. (English) Zbl 1485.26020 Adv. Difference Equ. 2020, Paper No. 363, 19 p. (2020). MSC: 26D07 26D10 26D15 26A33 33E12 PDFBibTeX XMLCite \textit{P. O. Mohammed} and \textit{T. Abdeljawad}, Adv. Difference Equ. 2020, Paper No. 363, 19 p. (2020; Zbl 1485.26020) Full Text: DOI
Giusti, Andrea; Colombaro, Ivano; Garra, Roberto; Garrappa, Roberto; Polito, Federico; Popolizio, Marina; Mainardi, Francesco A practical guide to Prabhakar fractional calculus. (English) Zbl 1437.33019 Fract. Calc. Appl. Anal. 23, No. 1, 9-54 (2020). MSC: 33E12 26A33 65R10 34K37 60G22 PDFBibTeX XMLCite \textit{A. Giusti} et al., Fract. Calc. Appl. Anal. 23, No. 1, 9--54 (2020; Zbl 1437.33019) Full Text: DOI arXiv
Monteghetti, Florian; Matignon, Denis; Piot, Estelle Time-local discretization of fractional and related diffusive operators using Gaussian quadrature with applications. (English) Zbl 1436.65210 Appl. Numer. Math. 155, 73-92 (2020). MSC: 65R15 65R10 65R20 65J10 PDFBibTeX XMLCite \textit{F. Monteghetti} et al., Appl. Numer. Math. 155, 73--92 (2020; Zbl 1436.65210) Full Text: DOI Link
Baffet, Daniel A Gauss-Jacobi kernel compression scheme for fractional differential equations. (English) Zbl 1455.65229 J. Sci. Comput. 79, No. 1, 227-248 (2019). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65R20 34A08 45D05 41A55 PDFBibTeX XMLCite \textit{D. Baffet}, J. Sci. Comput. 79, No. 1, 227--248 (2019; Zbl 1455.65229) Full Text: DOI arXiv
Colombaro, Ivano; Giusti, Andrea; Vitali, Silvia Storage and dissipation of energy in Prabhakar viscoelasticity. (English) Zbl 1454.74024 Mathematics 6, No. 2, Paper No. 15, 9 p. (2018). MSC: 74D05 74L05 26A33 86A15 PDFBibTeX XMLCite \textit{I. Colombaro} et al., Mathematics 6, No. 2, Paper No. 15, 9 p. (2018; Zbl 1454.74024) Full Text: DOI arXiv
Li, Yajing; Wang, Yejuan; Deng, Weihua Galerkin finite element approximations for stochastic space-time fractional wave equations. (English) Zbl 1380.65017 SIAM J. Numer. Anal. 55, No. 6, 3173-3202 (2017). MSC: 65C30 65M60 35L05 35R11 35R60 60H15 PDFBibTeX XMLCite \textit{Y. Li} et al., SIAM J. Numer. Anal. 55, No. 6, 3173--3202 (2017; Zbl 1380.65017) Full Text: DOI arXiv
Baffet, Daniel; Hesthaven, Jan S. High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. (English) Zbl 1376.65104 J. Sci. Comput. 72, No. 3, 1169-1195 (2017). MSC: 65L05 34A08 65L70 PDFBibTeX XMLCite \textit{D. Baffet} and \textit{J. S. Hesthaven}, J. Sci. Comput. 72, No. 3, 1169--1195 (2017; Zbl 1376.65104) Full Text: DOI Link
Garrappa, Roberto Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models. (English) Zbl 1471.47032 Commun. Nonlinear Sci. Numer. Simul. 38, 178-191 (2016). MSC: 47G10 PDFBibTeX XMLCite \textit{R. Garrappa}, Commun. Nonlinear Sci. Numer. Simul. 38, 178--191 (2016; Zbl 1471.47032) Full Text: DOI
Nigmatullin, Raoul R.; Khamzin, Airat A.; Baleanu, Dumitru On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation. (English) Zbl 1383.78012 Math. Methods Appl. Sci. 39, No. 11, 2983-2992 (2016). MSC: 78A25 26A33 30E20 33E12 35A22 PDFBibTeX XMLCite \textit{R. R. Nigmatullin} et al., Math. Methods Appl. Sci. 39, No. 11, 2983--2992 (2016; Zbl 1383.78012) Full Text: DOI