López, Belen; Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz; Rocha, Juan Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. (English) Zbl 07784320 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024). MSC: 34A08 65M12 76S05 PDFBibTeX XMLCite \textit{B. López} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024; Zbl 07784320) Full Text: DOI arXiv
Rawashdeh, Mahmoud S.; Obeidat, Nazek A.; Ababneh, Omar M. Using the decomposition method to solve the fractional order temperature distribution equation: a new approach. (English) Zbl 07784867 Math. Methods Appl. Sci. 46, No. 13, 14321-14339 (2023). MSC: 35C10 35R11 45J05 47F05 PDFBibTeX XMLCite \textit{M. S. Rawashdeh} et al., Math. Methods Appl. Sci. 46, No. 13, 14321--14339 (2023; Zbl 07784867) 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
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
Ho, Kwok-Pun Integral operators on Cesàro function spaces. (English) Zbl 07584452 Bull. Korean Math. Soc. 59, No. 4, 905-915 (2022). MSC: 47G10 44A15 46E30 PDFBibTeX XMLCite \textit{K.-P. Ho}, Bull. Korean Math. Soc. 59, No. 4, 905--915 (2022; Zbl 07584452) Full Text: DOI
Arioua, Yacine; Titraoui, Maria Boundary value problem for a coupled system of nonlinear fractional differential equations involving Erdélyi-Kober derivative. (English) Zbl 1498.34017 Appl. Math. E-Notes 21, 291-306 (2021). MSC: 34A08 34A37 47H10 PDFBibTeX XMLCite \textit{Y. Arioua} and \textit{M. Titraoui}, Appl. Math. E-Notes 21, 291--306 (2021; Zbl 1498.34017) Full Text: Link
dos Santos, M. A. F.; Colombo, E. H.; Anteneodo, C. Random diffusivity scenarios behind anomalous non-Gaussian diffusion. (English) Zbl 1502.60165 Chaos Solitons Fractals 152, Article ID 111422, 8 p. (2021). MSC: 60K50 60G22 PDFBibTeX XMLCite \textit{M. A. F. dos Santos} et al., Chaos Solitons Fractals 152, Article ID 111422, 8 p. (2021; Zbl 1502.60165) Full Text: DOI arXiv
Garra, Roberto; Maltese, F.; Orsingher, Enzo A note on generalized fractional diffusion equations on Poincaré half plane. (English) Zbl 1499.35641 Fract. Differ. Calc. 11, No. 1, 111-120 (2021). MSC: 35R11 33E12 34A08 PDFBibTeX XMLCite \textit{R. Garra} et al., Fract. Differ. Calc. 11, No. 1, 111--120 (2021; Zbl 1499.35641) Full Text: DOI arXiv
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
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
Toranj-Simin, M.; Hadizadeh, M. Spectral collocation method for a class of integro-differential equations with Erdélyi-Kober fractional operator. (English) Zbl 1499.65356 Adv. Appl. Math. Mech. 12, No. 2, 386-406 (2020). MSC: 65L60 34K37 45J05 47G20 65R20 PDFBibTeX XMLCite \textit{M. Toranj-Simin} and \textit{M. Hadizadeh}, Adv. Appl. Math. Mech. 12, No. 2, 386--406 (2020; Zbl 1499.65356) Full Text: DOI
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
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
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
Rubin, Boris; Wang, Yingzhan Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. (English) Zbl 1462.44003 Fract. Calc. Appl. Anal. 23, No. 4, 967-979 (2020). MSC: 44A12 28A75 PDFBibTeX XMLCite \textit{B. Rubin} and \textit{Y. Wang}, Fract. Calc. Appl. Anal. 23, No. 4, 967--979 (2020; Zbl 1462.44003) 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
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
De Gregorio, Alessandro; Garra, Roberto Alternative probabilistic representations of Barenblatt-type solutions. (English) Zbl 1435.60025 Mod. Stoch., Theory Appl. 7, No. 1, 97-112 (2020). MSC: 60K50 35C06 35K59 PDFBibTeX XMLCite \textit{A. De Gregorio} and \textit{R. Garra}, Mod. Stoch., Theory Appl. 7, No. 1, 97--112 (2020; Zbl 1435.60025) Full Text: DOI arXiv
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
Zhang, Kangqun Existence results for a generalization of the time-fractional diffusion equation with variable coefficients. (English) Zbl 1524.35733 Bound. Value Probl. 2019, Paper No. 10, 11 p. (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{K. Zhang}, Bound. Value Probl. 2019, Paper No. 10, 11 p. (2019; Zbl 1524.35733) Full Text: DOI
Sliusarenko, Oleksii Yu; Vitali, Silvia; Sposini, Vittoria; Paradisi, Paolo; Chechkin, Aleksei; Castellani, Gastone; Pagnini, Gianni Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles. (English) Zbl 1505.81061 J. Phys. A, Math. Theor. 52, No. 9, Article ID 095601, 27 p. (2019). MSC: 81S25 PDFBibTeX XMLCite \textit{O. Y. Sliusarenko} et al., J. Phys. A, Math. Theor. 52, No. 9, Article ID 095601, 27 p. (2019; Zbl 1505.81061) Full Text: DOI arXiv
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
Arioua, Yacine; Titraoui, Maria New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative. (English) Zbl 1464.34016 Commun. Math. 27, No. 2, 113-141 (2019). MSC: 34A08 34A37 47H10 PDFBibTeX XMLCite \textit{Y. Arioua} and \textit{M. Titraoui}, Commun. Math. 27, No. 2, 113--141 (2019; Zbl 1464.34016) Full Text: DOI
Sene, Ndolane; Srivastava, Gautam Generalized Mittag-Leffler input stability of the fractional differential equations. (English) Zbl 1425.34024 Symmetry 11, No. 5, Paper No. 608, 12 p. (2019). MSC: 34A08 34D20 33E12 PDFBibTeX XMLCite \textit{N. Sene} and \textit{G. Srivastava}, Symmetry 11, No. 5, Paper No. 608, 12 p. (2019; Zbl 1425.34024) Full Text: DOI
Awad, Hamed Kamal; Darwish, Mohamed Abdalla On Erdélyi-Kober cubic fractional integral equation of Urysohn-Volterra type. (English) Zbl 1437.45003 Differ. Uravn. Protsessy Upr. 2019, No. 1, 70-83 (2019). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45G05 45G10 47H30 26A33 PDFBibTeX XMLCite \textit{H. K. Awad} and \textit{M. A. Darwish}, Differ. Uravn. Protsessy Upr. 2019, No. 1, 70--83 (2019; Zbl 1437.45003) Full Text: Link
Al-Kandari, M.; Hanna, L. A.-M.; Luchko, Yu. F. A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals. (English) Zbl 1408.26005 Integral Transforms Spec. Funct. 30, No. 5, 400-417 (2019). MSC: 26A33 33E30 44A35 PDFBibTeX XMLCite \textit{M. Al-Kandari} et al., Integral Transforms Spec. Funct. 30, No. 5, 400--417 (2019; Zbl 1408.26005) Full Text: DOI
D’Ovidio, Mirko; Vitali, Silvia; Sposini, Vittoria; Sliusarenko, Oleksii; Paradisi, Paolo; Castellani, Gastone; Pagnini, Gianni Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion. (English) Zbl 1436.60041 Fract. Calc. Appl. Anal. 21, No. 5, 1420-1435 (2018). MSC: 60G22 65C30 91B70 60J60 34A08 60J70 PDFBibTeX XMLCite \textit{M. D'Ovidio} et al., Fract. Calc. Appl. Anal. 21, No. 5, 1420--1435 (2018; Zbl 1436.60041) Full Text: DOI arXiv
Ahmad, Bashir; Ntouyas, Sotiris K.; Zhou, Yong; Alsaedi, Ahmed A study of fractional differential equations and inclusions with nonlocal Erdélyi-Kober type integral boundary conditions. (English) Zbl 1409.34004 Bull. Iran. Math. Soc. 44, No. 5, 1315-1328 (2018). MSC: 34A08 34B10 34A60 65F05 PDFBibTeX XMLCite \textit{B. Ahmad} et al., Bull. Iran. Math. Soc. 44, No. 5, 1315--1328 (2018; Zbl 1409.34004) Full Text: DOI
Sandev, Trifce; Deng, Weihua; Xu, Pengbo Models for characterizing the transition among anomalous diffusions with different diffusion exponents. (English) Zbl 1475.60151 J. Phys. A, Math. Theor. 51, No. 40, Article ID 405002, 22 p. (2018). MSC: 60J60 60G22 60G50 82C41 PDFBibTeX XMLCite \textit{T. Sandev} et al., J. Phys. A, Math. Theor. 51, No. 40, Article ID 405002, 22 p. (2018; Zbl 1475.60151) Full Text: DOI arXiv
Colombaro, Ivano; Garra, Roberto; Giusti, Andrea; Mainardi, Francesco Scott-Blair models with time-varying viscosity. (English) Zbl 1407.76007 Appl. Math. Lett. 86, 57-63 (2018). MSC: 76A10 PDFBibTeX XMLCite \textit{I. Colombaro} et al., Appl. Math. Lett. 86, 57--63 (2018; Zbl 1407.76007) Full Text: DOI arXiv
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco The fractional Dodson diffusion equation: a new approach. (English) Zbl 1403.35314 Ric. Mat. 67, No. 2, 899-909 (2018). MSC: 35R11 33E12 45K05 PDFBibTeX XMLCite \textit{R. Garra} et al., Ric. Mat. 67, No. 2, 899--909 (2018; Zbl 1403.35314) Full Text: DOI arXiv
Garrappa, Roberto; Messina, Eleonora; Vecchio, Antonia Effect of perturbation in the numerical solution of fractional differential equations. (English) Zbl 1402.65067 Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2679-2694 (2018). Reviewer: Yousef Gholami (Tabriz) MSC: 65L07 34A08 34D10 45D05 PDFBibTeX XMLCite \textit{R. Garrappa} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2679--2694 (2018; Zbl 1402.65067) Full Text: DOI
Paneva-Konovska, Jordanka Differential and integral relations in the class of multi-index Mittag-Leffler functions. (English) Zbl 1392.26012 Fract. Calc. Appl. Anal. 21, No. 1, 254-265 (2018). MSC: 26A33 33E12 PDFBibTeX XMLCite \textit{J. Paneva-Konovska}, Fract. Calc. Appl. Anal. 21, No. 1, 254--265 (2018; Zbl 1392.26012) Full Text: DOI
Al-Musalhi, Fatma; Al-Salti, Nasser; Karimov, Erkinjon Initial boundary value problems for a fractional differential equation with hyper-Bessel operator. (English) Zbl 1439.35515 Fract. Calc. Appl. Anal. 21, No. 1, 200-219 (2018). MSC: 35R11 35R30 33E12 35C10 PDFBibTeX XMLCite \textit{F. Al-Musalhi} et al., Fract. Calc. Appl. Anal. 21, No. 1, 200--219 (2018; Zbl 1439.35515) Full Text: DOI arXiv
Martelloni, Gianluca; Bagnoli, Franco; Guarino, Alessio A 3D model for rain-induced landslides based on molecular dynamics with fractal and fractional water diffusion. (English) Zbl 1459.76140 Commun. Nonlinear Sci. Numer. Simul. 50, 311-329 (2017). MSC: 76R50 76T99 76M99 74L05 74A25 26A33 PDFBibTeX XMLCite \textit{G. Martelloni} et al., Commun. Nonlinear Sci. Numer. Simul. 50, 311--329 (2017; Zbl 1459.76140) Full Text: DOI arXiv
Mathai, A. M.; Haubold, H. J. Erdélyi-Kober fractional integral operators from a statistical perspective. II. (English) Zbl 1426.45006 Cogent Math. 4, Article ID 1309769, 16 p. (2017). MSC: 45P05 26A33 33C60 62H05 PDFBibTeX XMLCite \textit{A. M. Mathai} and \textit{H. J. Haubold}, Cogent Math. 4, Article ID 1309769, 16 p. (2017; Zbl 1426.45006) Full Text: DOI arXiv
Płociniczak, Łukasz; Sobieszek, Szymon Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator. (English) Zbl 1422.65456 Numer. Algorithms 76, No. 1, 125-150 (2017). Reviewer: Neville Ford (Chester) MSC: 65R20 45J05 34A08 34K37 PDFBibTeX XMLCite \textit{Ł. Płociniczak} and \textit{S. Sobieszek}, Numer. Algorithms 76, No. 1, 125--150 (2017; Zbl 1422.65456) Full Text: DOI
Darwish, Mohamed Abdalla On Erdélyi-Kober fractional Urysohn-Volterra quadratic integral equations. (English) Zbl 1410.45007 Appl. Math. Comput. 273, 562-569 (2016). MSC: 45G10 45M05 47H09 PDFBibTeX XMLCite \textit{M. A. Darwish}, Appl. Math. Comput. 273, 562--569 (2016; Zbl 1410.45007) Full Text: DOI
Luchko, Yu. A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. (English) Zbl 1393.35280 Math. Model. Nat. Phenom. 11, No. 3, 1-17 (2016). MSC: 35R11 35C05 35E05 35L05 PDFBibTeX XMLCite \textit{Yu. Luchko}, Math. Model. Nat. Phenom. 11, No. 3, 1--17 (2016; Zbl 1393.35280) Full Text: DOI Link
Caballero, Josefa; Darwish, Mohamed Abdalla; Sadarangani, Kishin A perturbed quadratic equation involving Erdélyi-Kober fractional integral. (English) Zbl 1357.45004 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 541-555 (2016). Reviewer: K. C. Gupta (Jaipur) MSC: 45G10 47H08 47H10 PDFBibTeX XMLCite \textit{J. Caballero} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 541--555 (2016; Zbl 1357.45004) Full Text: DOI
Lombard, Bruno; Matignon, Denis Diffusive approximation of a time-fractional Burger’s equation in nonlinear acoustics. (English) Zbl 1443.65275 SIAM J. Appl. Math. 76, No. 5, 1765-1791 (2016). MSC: 65M99 26A33 35L60 35Q53 35R11 74J30 PDFBibTeX XMLCite \textit{B. Lombard} and \textit{D. Matignon}, SIAM J. Appl. Math. 76, No. 5, 1765--1791 (2016; Zbl 1443.65275) Full Text: DOI arXiv
Płociniczak, Łukasz Diffusivity identification in a nonlinear time-fractional diffusion equation. (English) Zbl 1344.35165 Fract. Calc. Appl. Anal. 19, No. 4, 843-866 (2016). MSC: 35R11 35K57 35R30 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, Fract. Calc. Appl. Anal. 19, No. 4, 843--866 (2016; Zbl 1344.35165) Full Text: DOI
Pagnini, Gianni; Paradisi, Paolo A stochastic solution with Gaussian stationary increments of the symmetric space-time fractional diffusion equation. (English) Zbl 1341.60073 Fract. Calc. Appl. Anal. 19, No. 2, 408-440 (2016). MSC: 60H30 35R11 60G15 60G22 60J60 60G10 60G18 60G20 26A33 82C31 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{P. Paradisi}, Fract. Calc. Appl. Anal. 19, No. 2, 408--440 (2016; Zbl 1341.60073) Full Text: DOI arXiv
Thiramanus, Phollakrit; Ntouyas, Sotiris K.; Tariboon, Jessada Existence of solutions for Riemann-Liouville fractional differential equations with nonlocal Erdélyi-Kober integral boundary conditions on the half-line. (English) Zbl 1381.34025 Bound. Value Probl. 2015, Paper No. 196, 15 p. (2015). MSC: 34A08 34A12 34B10 PDFBibTeX XMLCite \textit{P. Thiramanus} et al., Bound. Value Probl. 2015, Paper No. 196, 15 p. (2015; Zbl 1381.34025) Full Text: DOI
Concezzi, Moreno; Garra, Roberto; Spigler, Renato Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. (English) Zbl 1343.34011 Fract. Calc. Appl. Anal. 18, No. 5, 1212-1231 (2015). Reviewer: Neville Ford (Chester) MSC: 34A08 26A33 65L05 26A48 33E12 34C15 34A12 PDFBibTeX XMLCite \textit{M. Concezzi} et al., Fract. Calc. Appl. Anal. 18, No. 5, 1212--1231 (2015; Zbl 1343.34011) Full Text: DOI arXiv
Garra, Roberto; Orsingher, Enzo; Polito, Federico Fractional diffusions with time-varying coefficients. (English) Zbl 1337.60064 J. Math. Phys. 56, No. 9, 093301, 17 p. (2015). Reviewer: Peter Parczewski (Mannheim) MSC: 60G22 60J60 35R11 26A33 PDFBibTeX XMLCite \textit{R. Garra} et al., J. Math. Phys. 56, No. 9, 093301, 17 p. (2015; Zbl 1337.60064) Full Text: DOI arXiv
da Silva, José Luís; Erraoui, Mohamed Generalized grey Brownian motion local time: existence and weak approximation. (English) Zbl 1321.60160 Stochastics 87, No. 2, 347-361 (2015). MSC: 60J60 60J55 60G22 60J65 60F15 60F05 PDFBibTeX XMLCite \textit{J. L. da Silva} and \textit{M. Erraoui}, Stochastics 87, No. 2, 347--361 (2015; Zbl 1321.60160) Full Text: DOI arXiv
Pagnini, Gianni Short note on the emergence of fractional kinetics. (English) Zbl 1395.82216 Physica A 409, 29-34 (2014). MSC: 82C41 35R11 PDFBibTeX XMLCite \textit{G. Pagnini}, Physica A 409, 29--34 (2014; Zbl 1395.82216) Full Text: DOI arXiv Link
Herrmann, Richard Reflection symmetric Erdélyi-Kober type operators – a quasi-particle interpretation. (English) Zbl 1312.26014 Fract. Calc. Appl. Anal. 17, No. 4, 1215-1228 (2014). MSC: 26A33 81Q60 81Q35 37N20 PDFBibTeX XMLCite \textit{R. Herrmann}, Fract. Calc. Appl. Anal. 17, No. 4, 1215--1228 (2014; Zbl 1312.26014) Full Text: DOI arXiv
Herrmann, Richard Towards a geometric interpretation of generalized fractional integrals – Erdélyi-Kober type integrals on \(\mathbb{R}^N\), as an example. (English) Zbl 1305.26019 Fract. Calc. Appl. Anal. 17, No. 2, 361-370 (2014). MSC: 26A33 PDFBibTeX XMLCite \textit{R. Herrmann}, Fract. Calc. Appl. Anal. 17, No. 2, 361--370 (2014; Zbl 1305.26019) Full Text: DOI arXiv
Hanna, L. A-M.; Luchko, Yu. F. Operational calculus for the Caputo-type fractional Erdélyi-Kober derivative and its applications. (English) Zbl 1288.26004 Integral Transforms Spec. Funct. 25, No. 5, 359-373 (2014). Reviewer: Deshna Loonker (Jodhpur) MSC: 26A33 44A40 44A35 33E30 45J05 PDFBibTeX XMLCite \textit{L. A M. Hanna} and \textit{Yu. F. Luchko}, Integral Transforms Spec. Funct. 25, No. 5, 359--373 (2014; Zbl 1288.26004) Full Text: DOI
Pagnini, Gianni The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes. (English) Zbl 1312.33061 Fract. Calc. Appl. Anal. 16, No. 2, 436-453 (2013). MSC: 33E20 26A33 44A35 60G18 60G22 33E30 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 16, No. 2, 436--453 (2013; Zbl 1312.33061) Full Text: DOI
Pagnini, Gianni; Mura, Antonio; Mainardi, Francesco Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion. (English) Zbl 1260.60163 Int. J. Stoch. Anal. 2012, Article ID 427383, 14 p. (2012). MSC: 60J60 60G18 60G22 PDFBibTeX XMLCite \textit{G. Pagnini} et al., Int. J. Stoch. Anal. 2012, Article ID 427383, 14 p. (2012; Zbl 1260.60163) Full Text: DOI