Lenka, Bichitra Kumar; Upadhyay, Ranjit Kumar New results on dynamic output state feedback stabilization of some class of time-varying nonlinear Caputo derivative systems. (English) Zbl 07810011 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024). MSC: 34Axx 93Dxx 26Axx PDFBibTeX XMLCite \textit{B. K. Lenka} and \textit{R. K. Upadhyay}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024; Zbl 07810011) Full Text: DOI
Bouzeffour, Fethi Fractional Bessel derivative within the Mellin transform framework. (English) Zbl 07803618 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 3, 15 p. (2024). MSC: 26A33 33C10 44A20 PDFBibTeX XMLCite \textit{F. Bouzeffour}, J. Nonlinear Math. Phys. 31, No. 1, Paper No. 3, 15 p. (2024; Zbl 07803618) Full Text: DOI OA License
Bouzeffour, Fethi; Jedidi, Wissem Fractional Riesz-Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition. (English) Zbl 07788060 Integral Transforms Spec. Funct. 35, No. 1, 49-60 (2024). MSC: 26A33 42A38 33C67 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{W. Jedidi}, Integral Transforms Spec. Funct. 35, No. 1, 49--60 (2024; Zbl 07788060) Full Text: DOI
Cuesta, Carlota Maria; Diez-Izagirre, Xuban Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case. (English) Zbl 07790561 Czech. Math. J. 73, No. 4, 1057-1080 (2023). MSC: 35B40 47J35 26A33 PDFBibTeX XMLCite \textit{C. M. Cuesta} and \textit{X. Diez-Izagirre}, Czech. Math. J. 73, No. 4, 1057--1080 (2023; Zbl 07790561) Full Text: DOI arXiv
Pskhu, Arsen Transmutation operators intertwining first-order and distributed-order derivatives. (English) Zbl 07785683 Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 93, 17 p. (2023). MSC: 35R11 26A33 34A08 34A25 PDFBibTeX XMLCite \textit{A. Pskhu}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 3, Paper No. 93, 17 p. (2023; Zbl 07785683) Full Text: DOI
Sana, Soura; Mandal, Bankim C. Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for heterogeneous sub-diffusion and diffusion-wave equations. (English) Zbl 07772638 Comput. Math. Appl. 150, 102-124 (2023). MSC: 65M12 65M55 65Y05 26A33 65M06 PDFBibTeX XMLCite \textit{S. Sana} and \textit{B. C. Mandal}, Comput. Math. Appl. 150, 102--124 (2023; Zbl 07772638) Full Text: DOI arXiv
Tuan, Nguyen Huy; Nguyen, Anh Tuan; Debbouche, Amar; Antonov, Valery Well-posedness results for nonlinear fractional diffusion equation with memory quantity. (English) Zbl 1527.35480 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2815-2838 (2023). MSC: 35R11 35B65 26A33 35K20 35R09 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2815--2838 (2023; Zbl 1527.35480) Full Text: DOI
Dipierro, Serena; Giacomin, Giovanni; Valdinoci, Enrico Analysis of the Lévy flight foraging hypothesis in \(\mathbb{R}^n\) and unreliability of the most rewarding strategies. (English) Zbl 1527.35435 SIAM J. Appl. Math. 83, No. 5, 1935-1968 (2023). MSC: 35Q92 92D25 92B05 60G51 60J65 46N60 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{S. Dipierro} et al., SIAM J. Appl. Math. 83, No. 5, 1935--1968 (2023; Zbl 1527.35435) Full Text: DOI
Derakhshan, Mohammad Hossein Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model. (English) Zbl 07731302 Comput. Math. Appl. 144, 150-163 (2023). MSC: 65-XX 35R11 65M12 26A33 65M06 65M60 PDFBibTeX XMLCite \textit{M. H. Derakhshan}, Comput. Math. Appl. 144, 150--163 (2023; Zbl 07731302) Full Text: DOI
Zhu, Shouguo Optimal controls for fractional backward nonlocal evolution systems. (English) Zbl 1519.49002 Numer. Funct. Anal. Optim. 44, No. 8, 794-814 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49J15 49J27 34A08 26A33 34G10 35R11 47D06 PDFBibTeX XMLCite \textit{S. Zhu}, Numer. Funct. Anal. Optim. 44, No. 8, 794--814 (2023; Zbl 1519.49002) Full Text: DOI
Bhatt, H. P. Numerical simulation of high-dimensional two-component reaction-diffusion systems with fractional derivatives. (English) Zbl 1524.65315 Int. J. Comput. Math. 100, No. 1, 47-68 (2023). MSC: 65M06 65T50 35B36 65L06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{H. P. Bhatt}, Int. J. Comput. Math. 100, No. 1, 47--68 (2023; Zbl 1524.65315) Full Text: DOI
Pskhu, A. V. D’Alembert formula for diffusion-wave equation. (English) Zbl 07688847 Lobachevskii J. Math. 44, No. 2, 644-652 (2023). MSC: 26Axx 44Axx 35Rxx PDFBibTeX XMLCite \textit{A. V. Pskhu}, Lobachevskii J. Math. 44, No. 2, 644--652 (2023; Zbl 07688847) Full Text: DOI
Santoyo Cano, Alejandro; Uribe Bravo, Gerónimo A Meyer-Itô formula for stable processes via fractional calculus. (English) Zbl 1511.60099 Fract. Calc. Appl. Anal. 26, No. 2, 619-650 (2023). MSC: 60H15 60H25 26A33 60G18 60G52 35R11 35R60 PDFBibTeX XMLCite \textit{A. Santoyo Cano} and \textit{G. Uribe Bravo}, Fract. Calc. Appl. Anal. 26, No. 2, 619--650 (2023; Zbl 1511.60099) Full Text: DOI arXiv
Górska, Katarzyna; Horzela, Andrzej Subordination and memory dependent kinetics in diffusion and relaxation phenomena. (English) Zbl 1511.45008 Fract. Calc. Appl. Anal. 26, No. 2, 480-512 (2023). MSC: 45K05 45R05 26A33 35R11 60G20 PDFBibTeX XMLCite \textit{K. Górska} and \textit{A. Horzela}, Fract. Calc. Appl. Anal. 26, No. 2, 480--512 (2023; Zbl 1511.45008) Full Text: DOI
Paneva-Konovska, Jordanka Prabhakar function of Le Roy type: a set of results in the complex plane. (English) Zbl 1509.33024 Fract. Calc. Appl. Anal. 26, No. 1, 32-53 (2023). MSC: 33E20 26A33 30D20 41A58 33E12 PDFBibTeX XMLCite \textit{J. Paneva-Konovska}, Fract. Calc. Appl. Anal. 26, No. 1, 32--53 (2023; Zbl 1509.33024) Full Text: DOI
Karthikeyan, K.; Senthil Raja, D.; Sundararajan, P. Existence results for abstract fractional integro differential equations. (English) Zbl 1512.45008 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 2, 109-119 (2023). MSC: 45J05 45N05 45R05 60H20 26A33 PDFBibTeX XMLCite \textit{K. Karthikeyan} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 2, 109--119 (2023; Zbl 1512.45008) Full Text: Link
Kumar, Yashveer; Srivastava, Nikhil; Singh, Aman; Singh, Vineet Kumar Wavelets based computational algorithms for multidimensional distributed order fractional differential equations with nonlinear source term. (English) Zbl 07648417 Comput. Math. Appl. 132, 73-103 (2023). MSC: 65M70 26A33 34A08 65T60 65L60 65L05 PDFBibTeX XMLCite \textit{Y. Kumar} et al., Comput. Math. Appl. 132, 73--103 (2023; Zbl 07648417) Full Text: DOI
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph Exponential convergence of hp FEM for spectral fractional diffusion in polygons. (English) Zbl 1511.65117 Numer. Math. 153, No. 1, 1-47 (2023). MSC: 65N30 65N50 65N12 65N15 35J86 35B35 26A33 35R11 PDFBibTeX XMLCite \textit{L. Banjai} et al., Numer. Math. 153, No. 1, 1--47 (2023; Zbl 1511.65117) Full Text: DOI arXiv
Garra, R.; Consiglio, A.; Mainardi, F. A note on a modified fractional Maxwell model. (English) Zbl 1507.74065 Chaos Solitons Fractals 163, Article ID 112544, 5 p. (2022). MSC: 74B05 74D05 74L10 76A10 26A33 35R11 33E12 PDFBibTeX XMLCite \textit{R. Garra} et al., Chaos Solitons Fractals 163, Article ID 112544, 5 p. (2022; Zbl 1507.74065) Full Text: DOI arXiv
Bender, Christian; Butko, Yana A. Stochastic solutions of generalized time-fractional evolution equations. (English) Zbl 1503.45005 Fract. Calc. Appl. Anal. 25, No. 2, 488-519 (2022). MSC: 45J05 45R05 60H20 26A33 33E12 60G22 60G65 33C65 PDFBibTeX XMLCite \textit{C. Bender} and \textit{Y. A. Butko}, Fract. Calc. Appl. Anal. 25, No. 2, 488--519 (2022; Zbl 1503.45005) Full Text: DOI arXiv
Namba, Tokinaga; Rybka, Piotr; Sato, Shoichi Special solutions to the space fractional diffusion problem. (English) Zbl 1503.35270 Fract. Calc. Appl. Anal. 25, No. 6, 2139-2165 (2022). MSC: 35R11 35C05 26A33 PDFBibTeX XMLCite \textit{T. Namba} et al., Fract. Calc. Appl. Anal. 25, No. 6, 2139--2165 (2022; Zbl 1503.35270) Full Text: DOI arXiv
Rodrigo, Marianito A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation. (English) Zbl 1503.35273 Fract. Calc. Appl. Anal. 25, No. 5, 1757-1784 (2022). MSC: 35R11 35K05 35L05 26A33 PDFBibTeX XMLCite \textit{M. Rodrigo}, Fract. Calc. Appl. Anal. 25, No. 5, 1757--1784 (2022; Zbl 1503.35273) Full Text: DOI arXiv
Płociniczak, Łukasz; Świtała, Mateusz Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method. (English) Zbl 1503.65182 Fract. Calc. Appl. Anal. 25, No. 4, 1651-1687 (2022). MSC: 65M06 65M60 65R20 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{M. Świtała}, Fract. Calc. Appl. Anal. 25, No. 4, 1651--1687 (2022; Zbl 1503.65182) Full Text: DOI arXiv
Tomovski, Živorad; Metzler, Ralf; Gerhold, Stefan Fractional characteristic functions, and a fractional calculus approach for moments of random variables. (English) Zbl 1503.26013 Fract. Calc. Appl. Anal. 25, No. 4, 1307-1323 (2022). MSC: 26A33 60E10 33E12 44A10 44A20 PDFBibTeX XMLCite \textit{Ž. Tomovski} et al., Fract. Calc. Appl. Anal. 25, No. 4, 1307--1323 (2022; Zbl 1503.26013) Full Text: DOI
Roscani, Sabrina D.; Tarzia, Domingo A.; Venturato, Lucas D. The similarity method and explicit solutions for the fractional space one-phase Stefan problems. (English) Zbl 1503.35274 Fract. Calc. Appl. Anal. 25, No. 3, 995-1021 (2022). MSC: 35R11 26A33 33E12 PDFBibTeX XMLCite \textit{S. D. Roscani} et al., Fract. Calc. Appl. Anal. 25, No. 3, 995--1021 (2022; Zbl 1503.35274) Full Text: DOI arXiv
Beghin, Luisa; De Gregorio, Alessandro Stochastic solutions for time-fractional heat equations with complex spatial variables. (English) Zbl 1503.35249 Fract. Calc. Appl. Anal. 25, No. 1, 244-266 (2022). MSC: 35R11 35R60 60G22 26A33 PDFBibTeX XMLCite \textit{L. Beghin} and \textit{A. De Gregorio}, Fract. Calc. Appl. Anal. 25, No. 1, 244--266 (2022; Zbl 1503.35249) Full Text: DOI arXiv
D’Ovidio, Mirko Fractional boundary value problems. (English) Zbl 1503.60111 Fract. Calc. Appl. Anal. 25, No. 1, 29-59 (2022). MSC: 60J50 60J55 35R11 26A33 PDFBibTeX XMLCite \textit{M. D'Ovidio}, Fract. Calc. Appl. Anal. 25, No. 1, 29--59 (2022; Zbl 1503.60111) Full Text: DOI arXiv
Aceto, Lidia; Durastante, Fabio Efficient computation of the Wright function and its applications to fractional diffusion-wave equations. (English) Zbl 1508.65014 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181-2196 (2022). MSC: 65D20 65D30 44A10 26A33 33E12 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{F. Durastante}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2181--2196 (2022; Zbl 1508.65014) Full Text: DOI arXiv
Han, Rubing; Wu, Shuonan A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: pointwise error estimates under Hölder regularity. (English) Zbl 1506.65184 SIAM J. Numer. Anal. 60, No. 6, 3052-3077 (2022). MSC: 65N06 65N12 65N15 26A33 35B65 35R11 PDFBibTeX XMLCite \textit{R. Han} and \textit{S. Wu}, SIAM J. Numer. Anal. 60, No. 6, 3052--3077 (2022; Zbl 1506.65184) Full Text: DOI arXiv
Aayadi, Khadija; Akhlil, Khalid; Ben Aadi, Sultana; Mahdioui, Hicham Weak solutions to the time-fractional \(g\)-Bénard equations. (English) Zbl 1513.76064 Bound. Value Probl. 2022, Paper No. 70, 17 p. (2022). MSC: 76D05 47F05 35Q30 35R11 26A33 76D03 PDFBibTeX XMLCite \textit{K. Aayadi} et al., Bound. Value Probl. 2022, Paper No. 70, 17 p. (2022; Zbl 1513.76064) Full Text: DOI arXiv
Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. (English) Zbl 1497.65204 Fractals 30, No. 5, Article ID 2240155, 21 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M99 26A33 35R11 42C10 41A58 76R50 PDFBibTeX XMLCite \textit{V. R. Hosseini} et al., Fractals 30, No. 5, Article ID 2240155, 21 p. (2022; Zbl 1497.65204) Full Text: DOI
Vieira, Nelson; Rodrigues, M. Manuela; Ferreira, Milton Time-fractional diffusion equation with \(\psi\)-Hilfer derivative. (English) Zbl 1513.35536 Comput. Appl. Math. 41, No. 6, Paper No. 230, 26 p. (2022). MSC: 35R11 26A33 35A08 35A22 35C15 PDFBibTeX XMLCite \textit{N. Vieira} et al., Comput. Appl. Math. 41, No. 6, Paper No. 230, 26 p. (2022; Zbl 1513.35536) Full Text: DOI
Nguyen, Anh Tuan; Caraballo, Tomás; Tuan, Nguyen Huy On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative. (English) Zbl 1501.35443 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 989-1031 (2022). Reviewer: Ismail Huseynov (Mersin) MSC: 35R11 26A33 33E12 35B40 35K30 35K58 PDFBibTeX XMLCite \textit{A. T. Nguyen} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 989--1031 (2022; Zbl 1501.35443) Full Text: DOI arXiv
Ansari, Alireza; Derakhshan, Mohammad Hossein; Askari, Hassan Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290 Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022). MSC: 35R11 26A33 35A08 35C15 44A10 44A20 PDFBibTeX XMLCite \textit{A. Ansari} et al., Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106590, 14 p. (2022; Zbl 1500.35290) Full Text: DOI
Daoud, Maha; Laamri, El Haj Fractional Laplacians : a short survey. (English) Zbl 1496.35001 Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 95-116 (2022). Reviewer: Nicola Abatangelo (Bologna) MSC: 35-02 35J05 26A33 35R11 58J35 PDFBibTeX XMLCite \textit{M. Daoud} and \textit{E. H. Laamri}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 1, 95--116 (2022; Zbl 1496.35001) Full Text: DOI
Wang, Yibo; Du, Rui; Chai, Zhenhua Lattice Boltzmann model for time-fractional nonlinear wave equations. (English) Zbl 1499.65591 Adv. Appl. Math. Mech. 14, No. 4, 914-935 (2022). MSC: 65M75 82C40 35Q20 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 14, No. 4, 914--935 (2022; Zbl 1499.65591) Full Text: DOI
Vabishchevich, Petr N. Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator. (English) Zbl 1524.65405 J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022). MSC: 65M06 26A33 35R11 65F60 65D32 35B45 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 407, Article ID 114096, 13 p. (2022; Zbl 1524.65405) Full Text: DOI arXiv
Pandey, P.; Das, S.; Craciun, E.-M.; Sadowski, T. Two-dimensional nonlinear time fractional reaction-diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media. (English) Zbl 1521.76824 Meccanica 56, No. 1, 99-115 (2021). MSC: 76R50 76S05 76V05 76M99 26A33 PDFBibTeX XMLCite \textit{P. Pandey} et al., Meccanica 56, No. 1, 99--115 (2021; Zbl 1521.76824) Full Text: DOI
Rao, Sabbavarapu Nageswara; Ahmadini, Abdullah Ali H. Multiple positive solutions for a system of \((p_1, p_2, p_3)\)-Laplacian Hadamard fractional order BVP with parameters. (English) Zbl 1494.34050 Adv. Difference Equ. 2021, Paper No. 436, 21 p. (2021). MSC: 34A08 34B18 34B10 47N20 34B15 26A33 PDFBibTeX XMLCite \textit{S. N. Rao} and \textit{A. A. H. Ahmadini}, Adv. Difference Equ. 2021, Paper No. 436, 21 p. (2021; Zbl 1494.34050) Full Text: DOI
Rakhimov, Kamoladdin; Sobirov, Zarifboy; Zhabborov, Nasridin The time-fractional Airy equation on the metric graph. (English) Zbl 07510960 J. Sib. Fed. Univ., Math. Phys. 14, No. 3, 376-388 (2021). MSC: 35Qxx 26Axx 26-XX PDFBibTeX XMLCite \textit{K. Rakhimov} et al., J. Sib. Fed. Univ., Math. Phys. 14, No. 3, 376--388 (2021; Zbl 07510960) Full Text: DOI MNR
Pourbabaee, Marzieh; Saadatmandi, Abbas The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications. (English) Zbl 1491.65113 Int. J. Comput. Math. 98, No. 11, 2310-2329 (2021). MSC: 65M70 65D32 65M15 41A50 26A33 35R11 PDFBibTeX XMLCite \textit{M. Pourbabaee} and \textit{A. Saadatmandi}, Int. J. Comput. Math. 98, No. 11, 2310--2329 (2021; Zbl 1491.65113) Full Text: DOI
Herzallah, Mohamed A. E.; Radwan, Ashraf H. A. Existence and uniqueness of the mild solution of an abstract semilinear fractional differential equation with state dependent nonlocal condition. (English) Zbl 1513.34231 Kragujevac J. Math. 45, No. 6, 909-923 (2021). MSC: 34G20 26A33 34A08 34B10 PDFBibTeX XMLCite \textit{M. A. E. Herzallah} and \textit{A. H. A. Radwan}, Kragujevac J. Math. 45, No. 6, 909--923 (2021; Zbl 1513.34231) Full Text: DOI Link
Droghei, Riccardo On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function. (English) Zbl 1498.34020 Fract. Calc. Appl. Anal. 24, No. 5, 1559-1570 (2021). MSC: 34A08 26A33 35R11 33E12 33E30 PDFBibTeX XMLCite \textit{R. Droghei}, Fract. Calc. Appl. Anal. 24, No. 5, 1559--1570 (2021; Zbl 1498.34020) Full Text: DOI arXiv
Juchem, Jasper; Chevalier, Amélie; Dekemele, Kevin; Loccufier, Mia First order plus fractional diffusive delay modeling: interconnected discrete systems. (English) Zbl 1498.93106 Fract. Calc. Appl. Anal. 24, No. 5, 1535-1558 (2021). MSC: 93B30 93A15 93B11 26A33 35R11 PDFBibTeX XMLCite \textit{J. Juchem} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1535--1558 (2021; Zbl 1498.93106) Full Text: DOI arXiv
Au, Vo Van; Singh, Jagdev; Nguyen, Anh Tuan Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients. (English) Zbl 1478.35218 Electron. Res. Arch. 29, No. 6, 3581-3607 (2021). MSC: 35R11 26A33 35K15 35B40 35B44 33E12 44A20 PDFBibTeX XMLCite \textit{V. Van Au} et al., Electron. Res. Arch. 29, No. 6, 3581--3607 (2021; Zbl 1478.35218) Full Text: DOI
Das, Anupam; Hazarika, Bipan; Panda, Sumati Kumari; Vijayakumar, V. An existence result for an infinite system of implicit fractional integral equations via generalized Darbo’s fixed point theorem. (English) Zbl 1476.45003 Comput. Appl. Math. 40, No. 4, Paper No. 143, 17 p. (2021). MSC: 45G05 26A33 74H20 PDFBibTeX XMLCite \textit{A. Das} et al., Comput. Appl. Math. 40, No. 4, Paper No. 143, 17 p. (2021; Zbl 1476.45003) Full Text: DOI
Gajda, Janusz; Beghin, Luisa Prabhakar Lévy processes. (English) Zbl 1495.60036 Stat. Probab. Lett. 178, Article ID 109162, 9 p. (2021). MSC: 60G51 26A33 33E12 60G52 PDFBibTeX XMLCite \textit{J. Gajda} and \textit{L. Beghin}, Stat. Probab. Lett. 178, Article ID 109162, 9 p. (2021; Zbl 1495.60036) Full Text: DOI
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Gunter Optimal control problems driven by time-fractional diffusion equations on metric graphs: optimality system and finite difference approximation. (English) Zbl 1476.35312 SIAM J. Control Optim. 59, No. 6, 4216-4242 (2021). MSC: 35R11 35Q93 35R02 26A33 49J20 49K20 93C20 PDFBibTeX XMLCite \textit{V. Mehandiratta} et al., SIAM J. Control Optim. 59, No. 6, 4216--4242 (2021; Zbl 1476.35312) Full Text: DOI
Hai, Dinh Nguyen Duy Filter regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem with temporally dependent thermal conductivity. (English) Zbl 1498.35608 Fract. Calc. Appl. Anal. 24, No. 4, 1112-1129 (2021). MSC: 35R25 35R30 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{D. N. D. Hai}, Fract. Calc. Appl. Anal. 24, No. 4, 1112--1129 (2021; Zbl 1498.35608) Full Text: DOI
del Teso, Félix; Gómez-Castro, David; Vázquez, Juan Luis Three representations of the fractional \(p\)-Laplacian: semigroup, extension and Balakrishnan formulas. (English) Zbl 1498.35570 Fract. Calc. Appl. Anal. 24, No. 4, 966-1002 (2021). MSC: 35R11 35J60 35J92 26A33 PDFBibTeX XMLCite \textit{F. del Teso} et al., Fract. Calc. Appl. Anal. 24, No. 4, 966--1002 (2021; Zbl 1498.35570) Full Text: DOI arXiv
Mehrez, Khaled; Pogány, Tibor K. Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications. (English) Zbl 1489.33005 J. Math. Inequal. 15, No. 3, 981-1001 (2021). MSC: 33C20 26D15 33C70 33E12 40C10 PDFBibTeX XMLCite \textit{K. Mehrez} and \textit{T. K. Pogány}, J. Math. Inequal. 15, No. 3, 981--1001 (2021; Zbl 1489.33005) Full Text: DOI
Shao, Xin-Hui; Li, Yu-Han; Shen, Hai-Long Quasi-Toeplitz trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1500.65047 J. Sci. Comput. 89, No. 1, Paper No. 10, 24 p. (2021). MSC: 65M06 65N06 15B05 15A18 65F08 65F10 60K50 26A33 35R11 PDFBibTeX XMLCite \textit{X.-H. Shao} et al., J. Sci. Comput. 89, No. 1, Paper No. 10, 24 p. (2021; Zbl 1500.65047) Full Text: DOI
Sunthrayuth, Pongsakorn; Shah, Rasool; Zidan, A. M.; Khan, Shahbaz; Kafle, Jeevan The analysis of fractional-order Navier-Stokes model arising in the unsteady flow of a viscous fluid via Shehu transform. (English) Zbl 1486.35331 J. Funct. Spaces 2021, Article ID 1029196, 15 p. (2021). MSC: 35Q30 76D05 26A33 35R11 PDFBibTeX XMLCite \textit{P. Sunthrayuth} et al., J. Funct. Spaces 2021, Article ID 1029196, 15 p. (2021; Zbl 1486.35331) Full Text: DOI
Lenzi, E. K.; Evangelista, L. R. Space-time fractional diffusion equations in \(d\)-dimensions. (English) Zbl 1484.82044 J. Math. Phys. 62, No. 8, Article ID 083304, 8 p. (2021). MSC: 82C41 60K50 26A33 35R11 PDFBibTeX XMLCite \textit{E. K. Lenzi} and \textit{L. R. Evangelista}, J. Math. Phys. 62, No. 8, Article ID 083304, 8 p. (2021; Zbl 1484.82044) Full Text: DOI
Mehrez, Khaled Positivity of certain classes of functions related to the Fox \(H\)-functions with applications. (English) Zbl 1482.33004 Anal. Math. Phys. 11, No. 3, Paper No. 114, 25 p. (2021). MSC: 33C20 26A42 PDFBibTeX XMLCite \textit{K. Mehrez}, Anal. Math. Phys. 11, No. 3, Paper No. 114, 25 p. (2021; Zbl 1482.33004) Full Text: DOI arXiv
Rodríguez-Rozas, Ángel; Acebrón, Juan A.; Spigler, Renato The PDD method for solving linear, nonlinear, and fractional PDEs problems. (English) Zbl 1498.65154 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 239-273 (2021). MSC: 65M55 65N55 65C05 65D05 65Y05 65M25 35K58 35Q83 35Q53 26A33 35R11 82D10 35R60 PDFBibTeX XMLCite \textit{Á. Rodríguez-Rozas} et al., SEMA SIMAI Springer Ser. 26, 239--273 (2021; Zbl 1498.65154) Full Text: DOI
Caserta, Arrigo; Garra, Roberto; Salusti, Ettore Some new exact results for non-linear space-fractional diffusivity equations. (English) Zbl 1472.35429 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 83-100 (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{A. Caserta} et al., SEMA SIMAI Springer Ser. 26, 83--100 (2021; Zbl 1472.35429) Full Text: DOI
Guerngar, Ngartelbaye; Nane, Erkan; Tinaztepe, Ramazan; Ulusoy, Suleyman; Van Wyk, Hans Werner Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation \(\partial_t^\beta u = -(-\Delta)^{\alpha /2}u -(-\Delta)^{\gamma /2}u\). (English) Zbl 1498.35572 Fract. Calc. Appl. Anal. 24, No. 3, 818-847 (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{N. Guerngar} et al., Fract. Calc. Appl. Anal. 24, No. 3, 818--847 (2021; Zbl 1498.35572) Full Text: DOI arXiv
Vieira, N.; Rodrigues, M. M.; Ferreira, M. Time-fractional telegraph equation of distributed order in higher dimensions. (English) Zbl 1471.35313 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105925, 32 p. (2021). MSC: 35R11 35L20 26A33 33C60 35C15 35A22 35S10 PDFBibTeX XMLCite \textit{N. Vieira} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105925, 32 p. (2021; Zbl 1471.35313) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. (English) Zbl 1486.65157 Appl. Numer. Math. 169, 44-63 (2021). MSC: 65M60 65M06 65N30 65M75 65M12 26A33 35R11 35R07 35R10 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 169, 44--63 (2021; Zbl 1486.65157) Full Text: DOI
Karimi, Milad; Zallani, Fatemeh; Sayevand, Khosro Wavelet regularization strategy for the fractional inverse diffusion problem. (English) Zbl 1486.65152 Numer. Algorithms 87, No. 4, 1679-1705 (2021). MSC: 65M32 65M30 65T60 65M12 41A25 35K05 42C40 65F22 35R25 26A33 35R11 PDFBibTeX XMLCite \textit{M. Karimi} et al., Numer. Algorithms 87, No. 4, 1679--1705 (2021; Zbl 1486.65152) Full Text: DOI
Roumaissa, Sassane; Nadjib, Boussetila; Faouzia, Rebbani; Abderafik, Benrabah Iterative regularization method for an abstract ill-posed generalized elliptic equation. (English) Zbl 1469.35239 Asian-Eur. J. Math. 14, No. 5, Article ID 2150069, 22 p. (2021). MSC: 35R25 35R30 35J15 65F22 26A33 PDFBibTeX XMLCite \textit{S. Roumaissa} et al., Asian-Eur. J. Math. 14, No. 5, Article ID 2150069, 22 p. (2021; Zbl 1469.35239) Full Text: DOI
Liu, Wei; Röckner, Michael; Luís da Silva, José Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. (English) Zbl 1469.35227 J. Funct. Anal. 281, No. 8, Article ID 109135, 34 p. (2021). MSC: 35R11 60H15 35K59 76S05 26A33 45K05 35K92 PDFBibTeX XMLCite \textit{W. Liu} et al., J. Funct. Anal. 281, No. 8, Article ID 109135, 34 p. (2021; Zbl 1469.35227) Full Text: DOI arXiv
Phuong, Nguyen Duc; Tuan, Nguyen Anh; Kumar, Devendra; Tuan, Nguyen Huy Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations. (English) Zbl 1469.35214 Math. Model. Nat. Phenom. 16, Paper No. 27, 14 p. (2021). MSC: 35R09 35K15 35K70 26A33 35R11 PDFBibTeX XMLCite \textit{N. D. Phuong} et al., Math. Model. Nat. Phenom. 16, Paper No. 27, 14 p. (2021; Zbl 1469.35214) Full Text: DOI
Liu, J. J.; Sun, C. L.; Yamamoto, M. Recovering the weight function in distributed order fractional equation from interior measurement. (English) Zbl 1486.65154 Appl. Numer. Math. 168, 84-103 (2021). MSC: 65M32 65M06 65N06 65K10 49N45 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{J. J. Liu} et al., Appl. Numer. Math. 168, 84--103 (2021; Zbl 1486.65154) Full Text: DOI
Consiglio, Armando; Mainardi, Francesco On the evolution of fractional diffusive waves. (English) Zbl 1469.35219 Ric. Mat. 70, No. 1, 21-33 (2021). MSC: 35R11 26A33 33E12 34A08 35-03 65D20 60J60 74J05 PDFBibTeX XMLCite \textit{A. Consiglio} and \textit{F. Mainardi}, Ric. Mat. 70, No. 1, 21--33 (2021; Zbl 1469.35219) Full Text: DOI arXiv
Jesus, Carla; Sousa, Ercília Numerical solutions for asymmetric Lévy flights. (English) Zbl 1476.65173 Numer. Algorithms 87, No. 3, 967-999 (2021). MSC: 65M06 65M12 65M80 60G51 60G50 42A38 26A33 35R11 PDFBibTeX XMLCite \textit{C. Jesus} and \textit{E. Sousa}, Numer. Algorithms 87, No. 3, 967--999 (2021; Zbl 1476.65173) Full Text: DOI
Li, Qiang; Wang, Guotao; Wei, Mei Monotone iterative technique for time-space fractional diffusion equations involving delay. (English) Zbl 1466.35361 Nonlinear Anal., Model. Control 26, No. 2, 241-258 (2021). MSC: 35R11 35K20 26A33 47D06 PDFBibTeX XMLCite \textit{Q. Li} et al., Nonlinear Anal., Model. Control 26, No. 2, 241--258 (2021; Zbl 1466.35361) Full Text: DOI
Bazhlekova, Emilia Completely monotone multinomial Mittag-Leffler type functions and diffusion equations with multiple time-derivatives. (English) Zbl 1499.35618 Fract. Calc. Appl. Anal. 24, No. 1, 88-111 (2021). MSC: 35R11 33E12 26A33 35E05 35K05 PDFBibTeX XMLCite \textit{E. Bazhlekova}, Fract. Calc. Appl. Anal. 24, No. 1, 88--111 (2021; Zbl 1499.35618) Full Text: DOI
Kochubei, Anatoly N.; Kondratiev, Yuri; da Silva, José Luís On fractional heat equation. (English) Zbl 1474.35658 Fract. Calc. Appl. Anal. 24, No. 1, 73-87 (2021). MSC: 35R11 26A33 60G22 PDFBibTeX XMLCite \textit{A. N. Kochubei} et al., Fract. Calc. Appl. Anal. 24, No. 1, 73--87 (2021; Zbl 1474.35658) Full Text: DOI arXiv
Chou, Lot-Kei; Lei, Siu-Long Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations. (English) Zbl 1524.65451 Comput. Math. Appl. 89, 116-126 (2021). MSC: 65M08 35R11 65M06 65M12 26A33 15B05 65N08 65F55 PDFBibTeX XMLCite \textit{L.-K. Chou} and \textit{S.-L. Lei}, Comput. Math. Appl. 89, 116--126 (2021; Zbl 1524.65451) Full Text: DOI
Sun, L. L.; Li, Y. S.; Zhang, Y. Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation. (English) Zbl 1462.35469 Inverse Probl. 37, No. 5, Article ID 055007, 26 p. (2021). MSC: 35R30 35R11 35K20 65M32 26A33 PDFBibTeX XMLCite \textit{L. L. Sun} et al., Inverse Probl. 37, No. 5, Article ID 055007, 26 p. (2021; Zbl 1462.35469) Full Text: DOI
Bao, Ngoc Tran; Caraballo, Tomás; Tuan, Nguyen Huy; Zhou, Yong Existence and regularity results for terminal value problem for nonlinear fractional wave equations. (English) Zbl 1460.35368 Nonlinearity 34, No. 3, 1448-1502 (2021). MSC: 35R11 35L20 26A33 35B65 PDFBibTeX XMLCite \textit{N. T. Bao} et al., Nonlinearity 34, No. 3, 1448--1502 (2021; Zbl 1460.35368) Full Text: DOI arXiv
Dipierro, Serena; Pellacci, Benedetta; Valdinoci, Enrico; Verzini, Gianmaria Time-fractional equations with reaction terms: fundamental solutions and asymptotics. (English) Zbl 1458.35448 Discrete Contin. Dyn. Syst. 41, No. 1, 257-275 (2021). MSC: 35R11 35C15 35B40 35K57 35K08 26A33 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 257--275 (2021; Zbl 1458.35448) Full Text: DOI arXiv
Rahaman, Mostafijur; Mondal, Sankar Prasad; Shaikh, Ali Akbar; Ahmadian, Ali; Senu, Norazak; Salahshour, Soheil Arbitrary-order economic production quantity model with and without deterioration: generalized point of view. (English) Zbl 1487.90041 Adv. Difference Equ. 2020, Paper No. 16, 30 p. (2020). MSC: 90B05 91B38 26A33 34A08 PDFBibTeX XMLCite \textit{M. Rahaman} et al., Adv. Difference Equ. 2020, Paper No. 16, 30 p. (2020; Zbl 1487.90041) Full Text: DOI
ur Rehman, Mujeeb; Baleanu, Dumitru; Alzabut, Jehad; Ismail, Muhammad; Saeed, Umer Green-Haar wavelets method for generalized fractional differential equations. (English) Zbl 1486.65307 Adv. Difference Equ. 2020, Paper No. 515, 24 p. (2020). MSC: 65T60 34A08 26A33 PDFBibTeX XMLCite \textit{M. ur Rehman} et al., Adv. Difference Equ. 2020, Paper No. 515, 24 p. (2020; Zbl 1486.65307) Full Text: DOI
Alyami, Maryam Ahmed; Darwish, Mohamed Abdalla On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments. (English) Zbl 1495.45007 Chaos Solitons Fractals 131, Article ID 109475, 7 p. (2020). MSC: 45M05 45G10 26A33 47H08 47N20 PDFBibTeX XMLCite \textit{M. A. Alyami} and \textit{M. A. Darwish}, Chaos Solitons Fractals 131, Article ID 109475, 7 p. (2020; Zbl 1495.45007) Full Text: DOI
Zhang, Hongwu; Zhang, Xiaoju Solving the Riesz-Feller space-fractional backward diffusion problem by a generalized Tikhonov method. (English) Zbl 1485.35411 Adv. Difference Equ. 2020, Paper No. 390, 16 p. (2020). MSC: 35R11 35R25 26A33 65M30 65M32 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{X. Zhang}, Adv. Difference Equ. 2020, Paper No. 390, 16 p. (2020; Zbl 1485.35411) Full Text: DOI
Luc, Nguyen Hoang; Huynh, Le Nhat; Baleanu, Dumitru; Can, Nguyen Huu Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator. (English) Zbl 1482.35253 Adv. Difference Equ. 2020, Paper No. 261, 23 p. (2020). MSC: 35R11 35R30 35R25 26A33 PDFBibTeX XMLCite \textit{N. H. Luc} et al., Adv. Difference Equ. 2020, Paper No. 261, 23 p. (2020; Zbl 1482.35253) Full Text: DOI
Shi, Ziyue; Qi, Wei; Fan, Jing A new class of travelling wave solutions for local fractional diffusion differential equations. (English) Zbl 1482.35256 Adv. Difference Equ. 2020, Paper No. 94, 15 p. (2020). MSC: 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{Z. Shi} et al., Adv. Difference Equ. 2020, Paper No. 94, 15 p. (2020; Zbl 1482.35256) Full Text: DOI
Plekhanova, M. V.; Shuklina, A. F. Mixed control for linear infinite-dimensional systems of fractional order. (Russian. English summary) Zbl 1471.93148 Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 1, 32-43 (2020). MSC: 93C35 93C05 93C15 26A33 PDFBibTeX XMLCite \textit{M. V. Plekhanova} and \textit{A. F. Shuklina}, Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 1, 32--43 (2020; Zbl 1471.93148) Full Text: DOI MNR
Duraisamy, Palanisamy; Gopal, Thangaraj Nandha; Subramanian, Muthaiah Analysis of fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions. (English) Zbl 1488.45028 Fract. Calc. Appl. Anal. 23, No. 5, 1401-1415 (2020). MSC: 45J05 47N20 26A33 PDFBibTeX XMLCite \textit{P. Duraisamy} et al., Fract. Calc. Appl. Anal. 23, No. 5, 1401--1415 (2020; Zbl 1488.45028) Full Text: DOI
Zhang, Kangqun Applications of Erdélyi-Kober fractional integral for solving time-fractional Tricomi-Keldysh type equation. (English) Zbl 1488.35589 Fract. Calc. Appl. Anal. 23, No. 5, 1381-1400 (2020). MSC: 35R11 26A33 34A08 PDFBibTeX XMLCite \textit{K. Zhang}, Fract. Calc. Appl. Anal. 23, No. 5, 1381--1400 (2020; Zbl 1488.35589) Full Text: DOI
Ho, Kwok-Pun Erdélyi-Kober fractional integrals on Hardy space and BMO. (English) Zbl 1460.42032 Proyecciones 39, No. 3, 663-677 (2020). Reviewer: Pierre Portal (Canberra) MSC: 42B30 26A33 PDFBibTeX XMLCite \textit{K.-P. Ho}, Proyecciones 39, No. 3, 663--677 (2020; Zbl 1460.42032) Full Text: DOI
Emamirad, Hassan; Rougirel, Arnaud Feynman path formula for the time fractional Schrödinger equation. (English) Zbl 1451.35150 Discrete Contin. Dyn. Syst., Ser. S 13, No. 12, 3391-3400 (2020). MSC: 35Q41 81Q30 26A33 PDFBibTeX XMLCite \textit{H. Emamirad} and \textit{A. Rougirel}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 12, 3391--3400 (2020; Zbl 1451.35150) Full Text: DOI
Toranj-Simin, Mohammad; Hadizadeh, Mahmoud On a class of noncompact weakly singular Volterra integral equations: theory and application to fractional differential equations with variable coefficient. (English) Zbl 1464.45004 J. Integral Equations Appl. 32, No. 2, 193-212 (2020). MSC: 45D05 45P05 34A08 26A33 65R20 PDFBibTeX XMLCite \textit{M. Toranj-Simin} and \textit{M. Hadizadeh}, J. Integral Equations Appl. 32, No. 2, 193--212 (2020; Zbl 1464.45004) Full Text: DOI Euclid
Roscani, Sabrina D.; Caruso, Nahuel D.; Tarzia, Domingo A. Explicit solutions to fractional Stefan-like problems for Caputo and Riemann-Liouville derivatives. (English) Zbl 1450.35302 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105361, 16 p. (2020). MSC: 35R35 35R11 26A33 35C05 33E20 80A22 PDFBibTeX XMLCite \textit{S. D. Roscani} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105361, 16 p. (2020; Zbl 1450.35302) Full Text: DOI arXiv
Aliahmadi, Hazhir; Tavakoli-Kakhki, Mahsan; Khaloozadeh, Hamid Option pricing under finite moment log stable process in a regulated market: a generalized fractional path integral formulation and Monte Carlo based simulation. (English) Zbl 1508.91547 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105345, 21 p. (2020). MSC: 91G20 91G80 91B80 26A33 PDFBibTeX XMLCite \textit{H. Aliahmadi} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105345, 21 p. (2020; Zbl 1508.91547) Full Text: DOI
Beghin, Luisa; Caputo, Michele Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator. (English) Zbl 1451.26007 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105338, 6 p. (2020). Reviewer: Kai Diethelm (Schweinfurt) MSC: 26A33 26A06 60G51 PDFBibTeX XMLCite \textit{L. Beghin} and \textit{M. Caputo}, Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105338, 6 p. (2020; Zbl 1451.26007) Full Text: DOI
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. (English) Zbl 1447.65072 Comput. Math. Appl. 80, No. 5, 923-939 (2020). MSC: 65M60 65M06 65M12 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Gao} et al., Comput. Math. Appl. 80, No. 5, 923--939 (2020; Zbl 1447.65072) Full Text: DOI
Ascione, Giacomo; Mishura, Yuliya; Pirozzi, Enrica Time-changed fractional Ornstein-Uhlenbeck process. (English) Zbl 1450.60030 Fract. Calc. Appl. Anal. 23, No. 2, 450-483 (2020). MSC: 60G22 26A33 35Q84 42A38 42B10 60H10 82C31 PDFBibTeX XMLCite \textit{G. Ascione} et al., Fract. Calc. Appl. Anal. 23, No. 2, 450--483 (2020; Zbl 1450.60030) Full Text: DOI arXiv
Hassouna, M.; Ouhadan, A.; El Kinani, E. H. On the \((\alpha,\beta)\)-Scott-Blair anti-Zener arrangement. (English) Zbl 1449.34019 Afr. Mat. 31, No. 3-4, 687-699 (2020). MSC: 34A08 26A33 74S40 PDFBibTeX XMLCite \textit{M. Hassouna} et al., Afr. Mat. 31, No. 3--4, 687--699 (2020; Zbl 1449.34019) Full Text: DOI
Al-Kandari, M.; Hanna, L. A-M.; Luchko, Yu. F. Transmutations of the composed Erdélyi-Kober fractional operators and their applications. (English) Zbl 1494.44004 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 479-508 (2020). MSC: 44A15 44A35 47G20 26A33 44-02 PDFBibTeX XMLCite \textit{M. Al-Kandari} et al., in: Transmutation operators and applications. Cham: Birkhäuser. 479--508 (2020; Zbl 1494.44004) Full Text: DOI
Cusimano, Nicole; Del Teso, Félix; Gerardo-Giorda, Luca Numerical approximations for fractional elliptic equations via the method of semigroups. (English) Zbl 1452.35237 ESAIM, Math. Model. Numer. Anal. 54, No. 3, 751-774 (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 35R11 35S15 65R20 65N15 65N25 41A55 26A33 35J25 PDFBibTeX XMLCite \textit{N. Cusimano} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 3, 751--774 (2020; Zbl 1452.35237) Full Text: DOI arXiv
Hanna, Latif A-M.; Al-Kandari, Maryam; Luchko, Yuri Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives. (English) Zbl 1441.34009 Fract. Calc. Appl. Anal. 23, No. 1, 103-125 (2020). MSC: 34A08 34A25 26A33 44A35 33E30 45J99 45D99 PDFBibTeX XMLCite \textit{L. A M. Hanna} et al., Fract. Calc. Appl. Anal. 23, No. 1, 103--125 (2020; Zbl 1441.34009) Full Text: DOI
Bhatt, H. P.; Khaliq, A. Q. M.; Furati, K. M. Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions. (English) Zbl 1437.65089 Numer. Algorithms 83, No. 4, 1373-1397 (2020). MSC: 65M06 65F05 26A33 35R11 35K57 80A32 35Q79 65M12 65M15 PDFBibTeX XMLCite \textit{H. P. Bhatt} et al., Numer. Algorithms 83, No. 4, 1373--1397 (2020; Zbl 1437.65089) Full Text: DOI
Rabbani, Mohsen; Das, Anupam; Hazarika, Bipan; Arab, Reza Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it. (English) Zbl 1443.45007 J. Comput. Appl. Math. 370, Article ID 112654, 13 p. (2020). MSC: 45G10 26A33 45L05 PDFBibTeX XMLCite \textit{M. Rabbani} et al., J. Comput. Appl. Math. 370, Article ID 112654, 13 p. (2020; Zbl 1443.45007) Full Text: DOI
Li, Lang; Liu, Fawang; Feng, Libo; Turner, Ian A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation. (English) Zbl 1440.65142 J. Comput. Appl. Math. 368, Article ID 112589, 18 p. (2020). MSC: 65M60 65N30 65M06 65D30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{L. Li} et al., J. Comput. Appl. Math. 368, Article ID 112589, 18 p. (2020; Zbl 1440.65142) Full Text: DOI
Abdel-Rehim, E. A. From the space-time fractional integral of the continuous time random walk to the space-time fractional diffusion equations, a short proof and simulation. (English) Zbl 07569409 Physica A 531, Article ID 121547, 10 p. (2019). MSC: 82-XX 26A33 35L05 60J60 45K05 47G30 33E20 65N06 60G52 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Physica A 531, Article ID 121547, 10 p. (2019; Zbl 07569409) Full Text: DOI
Costa, F. S.; Oliveira, D. S.; Rodrigues, F. G.; de Oliveira, E. C. The fractional space-time radial diffusion equation in terms of the Fox’s \(H\)-function. (English) Zbl 1514.35456 Physica A 515, 403-418 (2019). MSC: 35R11 26A33 26A48 PDFBibTeX XMLCite \textit{F. S. Costa} et al., Physica A 515, 403--418 (2019; Zbl 1514.35456) Full Text: DOI