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
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
Sin, Chung-Sik Cauchy problem for fractional advection-diffusion-asymmetry equations. (English) Zbl 1512.35634 Result. Math. 78, No. 3, Paper No. 111, 30 p. (2023). MSC: 35R11 35A08 35B40 35K15 45K05 47D06 PDFBibTeX XMLCite \textit{C.-S. Sin}, Result. Math. 78, No. 3, Paper No. 111, 30 p. (2023; Zbl 1512.35634) 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
Tuan, Tran Van Stability and regularity in inverse source problem for generalized subdiffusion equation perturbed by locally Lipschitz sources. (English) Zbl 1510.35388 Z. Angew. Math. Phys. 74, No. 2, Paper No. 65, 25 p. (2023). MSC: 35R11 35B40 35C15 35R09 45D05 45K05 PDFBibTeX XMLCite \textit{T. Van Tuan}, Z. Angew. Math. Phys. 74, No. 2, Paper No. 65, 25 p. (2023; Zbl 1510.35388) Full Text: DOI
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
Wang, Wensheng Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation. (English) Zbl 1495.35221 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 582-613 (2022). MSC: 35R60 35R09 35R11 60H40 45K05 PDFBibTeX XMLCite \textit{W. Wang}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 582--613 (2022; Zbl 1495.35221) Full Text: DOI
Fresneda-Portillo, Carlos On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media. (English) Zbl 1491.35181 Georgian Math. J. 29, No. 3, 363-372 (2022). MSC: 35J57 45F15 45P05 PDFBibTeX XMLCite \textit{C. Fresneda-Portillo}, Georgian Math. J. 29, No. 3, 363--372 (2022; Zbl 1491.35181) Full Text: DOI
Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. (English) Zbl 07465789 Math. Comput. Sci. 15, No. 4, 535-551 (2021). MSC: 45K05 65L20 65M12 65R20 PDFBibTeX XMLCite \textit{L. L. Ferrás} et al., Math. Comput. Sci. 15, No. 4, 535--551 (2021; Zbl 07465789) Full Text: DOI Link
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
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
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
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
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
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
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
Li, Cheng-Gang; Li, Miao; Piskarev, Sergey; Meerschaert, Mark M. The fractional d’Alembert’s formulas. (English) Zbl 1433.45008 J. Funct. Anal. 277, No. 12, Article ID 108279, 35 p. (2019). Reviewer: Rodica Luca (Iaşi) MSC: 45K05 45N05 35R11 26A33 PDFBibTeX XMLCite \textit{C.-G. Li} et al., J. Funct. Anal. 277, No. 12, Article ID 108279, 35 p. (2019; Zbl 1433.45008) Full Text: DOI arXiv
Li, Zhiyuan; Cheng, Xing; Li, Gongsheng An inverse problem in time-fractional diffusion equations with nonlinear boundary condition. (English) Zbl 1480.60240 J. Math. Phys. 60, No. 9, 091502, 18 p. (2019). MSC: 60J60 60G22 14K25 45C05 45M05 45Q05 26A16 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Math. Phys. 60, No. 9, 091502, 18 p. (2019; Zbl 1480.60240) Full Text: DOI
Abdel-Rehim, Enstar A. From power laws to fractional diffusion processes with and without external forces, the non direct way. (English) Zbl 1436.60074 Fract. Calc. Appl. Anal. 22, No. 1, 60-77 (2019). MSC: 60J60 35L05 45K05 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Fract. Calc. Appl. Anal. 22, No. 1, 60--77 (2019; Zbl 1436.60074) Full Text: DOI
Luchko, Yu. Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. (English) Zbl 1461.35007 Theory Probab. Math. Stat. 98, 127-147 (2019) and Teor. Jmovirn. Mat. Stat. 98, 121-141 (2018). MSC: 35A08 35R11 26A33 35C05 35E05 35L05 45K05 60E99 PDFBibTeX XMLCite \textit{Yu. Luchko}, Theory Probab. Math. Stat. 98, 127--147 (2019; Zbl 1461.35007) Full Text: DOI arXiv
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
Płociniczak, Łukasz Numerical method for the time-fractional porous medium equation. (English) Zbl 1409.76091 SIAM J. Numer. Anal. 57, No. 2, 638-656 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 76M20 76S05 35Q35 65R20 35R11 45G10 PDFBibTeX XMLCite \textit{Ł. Płociniczak}, SIAM J. Numer. Anal. 57, No. 2, 638--656 (2019; Zbl 1409.76091) 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
Padrino, Juan C. On the self-similar, Wright-function exact solution for early-time, anomalous diffusion in random networks: comparison with numerical results. (English) Zbl 1400.82252 Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 131, 10 p. (2018). MSC: 82C70 33E20 05C80 35R11 35R09 33C20 35R60 45K05 PDFBibTeX XMLCite \textit{J. C. Padrino}, Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 131, 10 p. (2018; Zbl 1400.82252) Full Text: DOI
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
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
Evans, Ryan M.; Katugampola, Udita N.; Edwards, David A. Applications of fractional calculus in solving Abel-type integral equations: surface-volume reaction problem. (English) Zbl 1409.65114 Comput. Math. Appl. 73, No. 6, 1346-1362 (2017). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{R. M. Evans} et al., Comput. Math. Appl. 73, No. 6, 1346--1362 (2017; Zbl 1409.65114) Full Text: DOI arXiv
Luchko, Yuri On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation. (English) Zbl 1474.35666 Mathematics 5, No. 4, Paper No. 76, 16 p. (2017). MSC: 35R11 35C05 35E05 35L05 45K05 60E99 PDFBibTeX XMLCite \textit{Y. Luchko}, Mathematics 5, No. 4, Paper No. 76, 16 p. (2017; Zbl 1474.35666) Full Text: DOI
Fu, Yongqiang On potential wells and vacuum isolating of solutions for space-fractional wave equations. (English) Zbl 1390.35396 Adv. Differ. Equ. Control Process. 18, No. 3, 149-176 (2017). MSC: 35R11 35A15 45K05 PDFBibTeX XMLCite \textit{Y. Fu}, Adv. Differ. Equ. Control Process. 18, No. 3, 149--176 (2017; Zbl 1390.35396) Full Text: DOI
Boyadjiev, L.; Luchko, Yu. The neutral-fractional telegraph equation. (English) Zbl 1398.35262 Math. Model. Nat. Phenom. 12, No. 6, 51-67 (2017). MSC: 35R11 35C05 35E05 35L05 45K05 PDFBibTeX XMLCite \textit{L. Boyadjiev} and \textit{Yu. Luchko}, Math. Model. Nat. Phenom. 12, No. 6, 51--67 (2017; Zbl 1398.35262) Full Text: DOI
Sandev, Trifce; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei Beyond monofractional kinetics. (English) Zbl 1374.45016 Chaos Solitons Fractals 102, 210-217 (2017). MSC: 45K05 35R11 PDFBibTeX XMLCite \textit{T. Sandev} et al., Chaos Solitons Fractals 102, 210--217 (2017; Zbl 1374.45016) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. (English) Zbl 1375.65173 Appl. Math. Lett. 73, 120-127 (2017). MSC: 65R20 26A33 45K05 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Math. Lett. 73, 120--127 (2017; Zbl 1375.65173) Full Text: DOI
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
Allouba, Hassan; Xiao, Yimin L-Kuramoto-Sivashinsky SPDEs vs. time-fractional SPIDEs: exact continuity and gradient moduli, 1/2-derivative criticality, and laws. (English) Zbl 1454.60085 J. Differ. Equations 263, No. 2, 1552-1610 (2017). MSC: 60H15 35R11 35R60 45H05 45R05 60H20 60J35 60J45 PDFBibTeX XMLCite \textit{H. Allouba} and \textit{Y. Xiao}, J. Differ. Equations 263, No. 2, 1552--1610 (2017; Zbl 1454.60085) Full Text: DOI arXiv
Kemppainen, Jukka; Siljander, Juhana; Zacher, Rico Representation of solutions and large-time behavior for fully nonlocal diffusion equations. (English) Zbl 1366.35218 J. Differ. Equations 263, No. 1, 149-201 (2017). Reviewer: Trifce Sandev (Skopje) MSC: 35R11 45K05 35C15 47G20 PDFBibTeX XMLCite \textit{J. Kemppainen} et al., J. Differ. Equations 263, No. 1, 149--201 (2017; Zbl 1366.35218) Full Text: DOI arXiv Link
Chen, Minghua; Deng, Weihua A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation. (English) Zbl 1361.65100 Appl. Math. Lett. 68, 87-93 (2017). MSC: 65R20 45K05 35R11 PDFBibTeX XMLCite \textit{M. Chen} and \textit{W. Deng}, Appl. Math. Lett. 68, 87--93 (2017; Zbl 1361.65100) Full Text: DOI arXiv
Lukashchuk, Stannislav Yur’evich Symmetry reduction and invariant solutions for nonlinear fractional diffusion equation with a source term. (Russian. English summary) Zbl 1463.35504 Ufim. Mat. Zh. 8, No. 4, 114-126 (2016); translation in Ufa Math. J. 8, No. 4, 111-122 (2016). MSC: 35R11 35A30 45K05 PDFBibTeX XMLCite \textit{S. Y. Lukashchuk}, Ufim. Mat. Zh. 8, No. 4, 114--126 (2016; Zbl 1463.35504); translation in Ufa Math. J. 8, No. 4, 111--122 (2016) Full Text: DOI MNR
Luchko, Yuri Entropy production rate of a one-dimensional alpha-fractional diffusion process. (English) Zbl 1415.35283 Axioms 5, No. 1, Paper No. 6, 11 p. (2016). MSC: 35R11 35E05 35L05 45K05 PDFBibTeX XMLCite \textit{Y. Luchko}, Axioms 5, No. 1, Paper No. 6, 11 p. (2016; Zbl 1415.35283) 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
Hossain, M. Enamul Numerical investigation of memory-based diffusivity equation: the integro-differential equation. (English) Zbl 1448.65191 Arab. J. Sci. Eng. 41, No. 7, 2715-2729 (2016). MSC: 65N06 65R20 45K05 35R09 35R11 26A33 76S05 PDFBibTeX XMLCite \textit{M. E. Hossain}, Arab. J. Sci. Eng. 41, No. 7, 2715--2729 (2016; Zbl 1448.65191) Full Text: DOI
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
Abdel-Rehim, E. A. Fundamental solutions of the fractional diffusion and the fractional Fokker-Planck equations. (English) Zbl 1348.35274 J. Egypt. Math. Soc. 24, No. 3, 337-347 (2016). MSC: 35Q84 26A33 45K05 60J60 60G50 60G51 65N06 42A38 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, J. Egypt. Math. Soc. 24, No. 3, 337--347 (2016; Zbl 1348.35274) Full Text: DOI
Garrappa, Roberto; Mainardi, Francesco On Volterra functions and Ramanujan integrals. (English) Zbl 1342.45001 Analysis, München 36, No. 2, 89-105 (2016). MSC: 45D05 45E05 33E20 33E50 33F05 65D20 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{F. Mainardi}, Analysis, München 36, No. 2, 89--105 (2016; Zbl 1342.45001) Full Text: DOI arXiv
Ansari, Alireza On the Volterra \(\mu\)-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators. (English) Zbl 1381.45036 Fract. Calc. Appl. Anal. 19, No. 2, 567-572 (2016). MSC: 45P05 34A08 26A33 33E20 45D05 PDFBibTeX XMLCite \textit{A. Ansari}, Fract. Calc. Appl. Anal. 19, No. 2, 567--572 (2016; Zbl 1381.45036) Full Text: DOI
Wang, JinRong; Zhang, Yuruo Nonlocal initial value problems for differential equations with Hilfer fractional derivative. (English) Zbl 1410.34032 Appl. Math. Comput. 266, 850-859 (2015). MSC: 34A08 34B10 45G05 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Zhang}, Appl. Math. Comput. 266, 850--859 (2015; Zbl 1410.34032) Full Text: DOI
de Almeida, Marcelo F.; Precioso, Juliana C. P. Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation. (English) Zbl 1335.35267 J. Math. Anal. Appl. 432, No. 1, 338-355 (2015). Reviewer: Lubomira Softova (Aversa) MSC: 35R09 45K05 45D05 PDFBibTeX XMLCite \textit{M. F. de Almeida} and \textit{J. C. P. Precioso}, J. Math. Anal. Appl. 432, No. 1, 338--355 (2015; Zbl 1335.35267) Full Text: DOI arXiv
Kirk, Colleen; Olmstead, W. Thermal blow-up in a subdiffusive medium due to a nonlinear boundary flux. (English) Zbl 1312.35182 Fract. Calc. Appl. Anal. 17, No. 1, 191-205 (2014). MSC: 35R11 35B44 45D05 80A20 35K61 PDFBibTeX XMLCite \textit{C. Kirk} and \textit{W. Olmstead}, Fract. Calc. Appl. Anal. 17, No. 1, 191--205 (2014; Zbl 1312.35182) Full Text: DOI
Carpinteri, Alberto; Cornetti, Pietro; Sapora, Alberto Nonlocal elasticity: an approach based on fractional calculus. (English) Zbl 1306.74010 Meccanica 49, No. 11, 2551-2569 (2014). MSC: 74B99 26A33 45K05 PDFBibTeX XMLCite \textit{A. Carpinteri} et al., Meccanica 49, No. 11, 2551--2569 (2014; Zbl 1306.74010) Full Text: DOI
Wei, Ting; Zhang, Zheng-Qiang Stable numerical solution to a Cauchy problem for a time fractional diffusion equation. (English) Zbl 1297.65115 Eng. Anal. Bound. Elem. 40, 128-137 (2014). MSC: 65M30 65R20 45D05 35R30 35K57 35R11 PDFBibTeX XMLCite \textit{T. Wei} and \textit{Z.-Q. Zhang}, Eng. Anal. Bound. Elem. 40, 128--137 (2014; Zbl 1297.65115) Full Text: DOI
Kumar, Pradeep; Pandey, D. N.; Bahuguna, D. Approximations of solutions to a retarded type fractional differential equation with a deviated argument. (English) Zbl 1300.34178 J. Integral Equations Appl. 26, No. 2, 215-242 (2014). MSC: 34K37 34G10 34K30 47N20 45G99 PDFBibTeX XMLCite \textit{P. Kumar} et al., J. Integral Equations Appl. 26, No. 2, 215--242 (2014; Zbl 1300.34178) Full Text: DOI Euclid
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
Gorenflo, Rudolf; Luchko, Yuri; Stojanović, Mirjana Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density. (English) Zbl 1312.35179 Fract. Calc. Appl. Anal. 16, No. 2, 297-316 (2013). MSC: 35R11 33E12 35S10 45K05 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Fract. Calc. Appl. Anal. 16, No. 2, 297--316 (2013; Zbl 1312.35179) Full Text: DOI
Dou, F. F.; Hon, Y. C. Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. (English) Zbl 1352.65309 Eng. Anal. Bound. Elem. 36, No. 9, 1344-1352 (2012). MSC: 65M32 44A10 35R11 45K05 PDFBibTeX XMLCite \textit{F. F. Dou} and \textit{Y. C. Hon}, Eng. Anal. Bound. Elem. 36, No. 9, 1344--1352 (2012; Zbl 1352.65309) Full Text: DOI
Pagnini, Gianni Erdélyi-Kober fractional diffusion. (English) Zbl 1276.26021 Fract. Calc. Appl. Anal. 15, No. 1, 117-127 (2012). MSC: 26A33 45D05 60G22 33E30 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 15, No. 1, 117--127 (2012; Zbl 1276.26021) Full Text: DOI arXiv
Liu, F.; Zhuang, P.; Burrage, K. Numerical methods and analysis for a class of fractional advection-dispersion models. (English) Zbl 1268.65124 Comput. Math. Appl. 64, No. 10, 2990-3007 (2012). MSC: 65M12 35R11 45K05 PDFBibTeX XMLCite \textit{F. Liu} et al., Comput. Math. Appl. 64, No. 10, 2990--3007 (2012; Zbl 1268.65124) Full Text: DOI
Luchko, Yury Anomalous diffusion: models, their analysis, and interpretation. (English) Zbl 1279.60105 Rogosin, Sergei V. (ed.) et al., Advances in applied analysis. Selected papers based on the lectures presented at the 3rd international winter school “Modern Problems of Mathematics and Mechanics” held in Minsk, Belarus, January 2010. Basel: Birkhäuser (ISBN 978-3-0348-0416-5/hbk; 978-3-0348-0417-2/ebook). Trends in Mathematics, 115-145 (2012). MSC: 60J60 26A33 33E12 35B30 35B45 35B50 35K99 45K05 60J65 PDFBibTeX XMLCite \textit{Y. Luchko}, in: Advances in applied analysis. Selected papers based on the lectures presented at the 3rd international winter school ``Modern Problems of Mathematics and Mechanics'' held in Minsk, Belarus, January 2010. Basel: Birkhäuser. 115--145 (2012; Zbl 1279.60105) Full Text: DOI
Li, Fang; Xiao, Ti-Jun; Xu, Hong-Kun On nonlinear neutral fractional integrodifferential inclusions with infinite delay. (English) Zbl 1244.45003 J. Appl. Math. 2012, Article ID 916543, 19 p. (2012). MSC: 45J05 34A08 PDFBibTeX XMLCite \textit{F. Li} et al., J. Appl. Math. 2012, Article ID 916543, 19 p. (2012; Zbl 1244.45003) Full Text: DOI
Luchko, Yury Maximum principle and its application for the time-fractional diffusion equations. (English) Zbl 1273.35297 Fract. Calc. Appl. Anal. 14, No. 1, 110-124 (2011). MSC: 35R11 35-02 35B50 35B45 35K99 45K05 PDFBibTeX XMLCite \textit{Y. Luchko}, Fract. Calc. Appl. Anal. 14, No. 1, 110--124 (2011; Zbl 1273.35297) Full Text: DOI Link
Li, Fang; N’guérékata, Gaston M. An existence result for neutral delay integrodifferential equations with fractional order and nonlocal conditions. (English) Zbl 1269.45006 Abstr. Appl. Anal. 2011, Article ID 952782, 20 p. (2011). MSC: 45J05 45G10 47H08 47H09 PDFBibTeX XMLCite \textit{F. Li} and \textit{G. M. N'guérékata}, Abstr. Appl. Anal. 2011, Article ID 952782, 20 p. (2011; Zbl 1269.45006) Full Text: DOI
Lukashchuk, S. Yu. Estimation of parameters in fractional subdiffusion equations by the time integral characteristics method. (English) Zbl 1228.35265 Comput. Math. Appl. 62, No. 3, 834-844 (2011). MSC: 35R11 26A33 35K20 45K05 65M32 PDFBibTeX XMLCite \textit{S. Yu. Lukashchuk}, Comput. Math. Appl. 62, No. 3, 834--844 (2011; Zbl 1228.35265) Full Text: DOI
Mophou, Gisèle. M. Optimal control of fractional diffusion equation. (English) Zbl 1207.49006 Comput. Math. Appl. 61, No. 1, 68-78 (2011). MSC: 49J20 45K05 49K20 PDFBibTeX XMLCite \textit{Gisèle. M. Mophou}, Comput. Math. Appl. 61, No. 1, 68--78 (2011; Zbl 1207.49006) Full Text: DOI
Yıldırım, Ahmet Analytical approach to fractional partial differential equations in fluid mechanics by means of the homotopy perturbation method. (English) Zbl 1231.76225 Int. J. Numer. Methods Heat Fluid Flow 20, No. 2, 186-200 (2010). MSC: 76M25 45K05 65M99 PDFBibTeX XMLCite \textit{A. Yıldırım}, Int. J. Numer. Methods Heat Fluid Flow 20, No. 2, 186--200 (2010; Zbl 1231.76225) 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
Baleanu, Dumitru; Trujillo, Juan I. A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. (English) Zbl 1221.34008 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111-1115 (2010). MSC: 34A08 26A33 45J05 70H03 PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{J. I. Trujillo}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111--1115 (2010; Zbl 1221.34008) Full Text: DOI
Aghili, A.; Ansari, A. New method for solving system of P.F.D.E. and fractional evolution disturbance equation of distributed order. (English) Zbl 1225.44002 J. Interdiscip. Math. 13, No. 2, 167-183 (2010). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 44A15 45E10 45D05 35R11 35A22 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{A. Ansari}, J. Interdiscip. Math. 13, No. 2, 167--183 (2010; Zbl 1225.44002) Full Text: DOI
Herzallah, Mohamed A. E.; El-Sayed, Ahmed M. A.; Baleanu, Dumitru Perturbation for fractional-order evolution equation. (English) Zbl 1209.34003 Nonlinear Dyn. 62, No. 3, 593-600 (2010). MSC: 34A08 45J05 47N20 PDFBibTeX XMLCite \textit{M. A. E. Herzallah} et al., Nonlinear Dyn. 62, No. 3, 593--600 (2010; Zbl 1209.34003) Full Text: DOI
Du, R.; Cao, W. R.; Sun, Z. Z. A compact difference scheme for the fractional diffusion-wave equation. (English) Zbl 1201.65154 Appl. Math. Modelling 34, No. 10, 2998-3007 (2010). MSC: 65M06 34A08 26A33 45K05 PDFBibTeX XMLCite \textit{R. Du} et al., Appl. Math. Modelling 34, No. 10, 2998--3007 (2010; Zbl 1201.65154) Full Text: DOI
Odibat, Zaid M. Analytic study on linear systems of fractional differential equations. (English) Zbl 1189.34017 Comput. Math. Appl. 59, No. 3, 1171-1183 (2010). MSC: 34A08 26A33 34A30 34D20 45J05 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Comput. Math. Appl. 59, No. 3, 1171--1183 (2010; Zbl 1189.34017) Full Text: DOI
Kilbas, Anatoly A. Partial fractional differential equations and some of their applications. (English) Zbl 1210.35276 Analysis, München 30, No. 1, 35-66 (2010). Reviewer: Rudolf Gorenflo (Berlin) MSC: 35R11 26A33 45K05 35A22 44A10 42A38 60G22 33E12 PDFBibTeX XMLCite \textit{A. A. Kilbas}, Analysis, München 30, No. 1, 35--66 (2010; Zbl 1210.35276) Full Text: DOI
Pagnini, Gianni; Mainardi, Francesco Evolution equations for the probabilistic generalization of the Voigt profile function. (English) Zbl 1179.82008 J. Comput. Appl. Math. 233, No. 6, 1590-1595 (2010). MSC: 82B03 33E20 45K05 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{F. Mainardi}, J. Comput. Appl. Math. 233, No. 6, 1590--1595 (2010; Zbl 1179.82008) Full Text: DOI arXiv
Umarov, Sabir; Steinberg, Stanly Variable order differential equations with piecewise constant order-function and diffusion with changing modes. (English) Zbl 1181.35359 Z. Anal. Anwend. 28, No. 4, 431-450 (2009). MSC: 35S10 26A33 45K05 35A08 35S15 33E12 PDFBibTeX XMLCite \textit{S. Umarov} and \textit{S. Steinberg}, Z. Anal. Anwend. 28, No. 4, 431--450 (2009; Zbl 1181.35359) Full Text: DOI arXiv Link
Abdel-Rehim, E. A. From the Ehrenfest model to time-fractional stochastic processes. (English) Zbl 1185.60048 J. Comput. Appl. Math. 233, No. 2, 197-207 (2009). Reviewer: Rudolf Gorenflo (Berlin) MSC: 60G50 26A33 45K05 60J60 65N06 82C41 82C80 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, J. Comput. Appl. Math. 233, No. 2, 197--207 (2009; Zbl 1185.60048) Full Text: DOI
Gorenflo, Rudolf; Mainardi, Francesco Some recent advances in theory and simulation of fractional diffusion processes. (English) Zbl 1166.45004 J. Comput. Appl. Math. 229, No. 2, 400-415 (2009). MSC: 45K05 26A33 60G18 60G50 60G51 60J60 PDFBibTeX XMLCite \textit{R. Gorenflo} and \textit{F. Mainardi}, J. Comput. Appl. Math. 229, No. 2, 400--415 (2009; Zbl 1166.45004) Full Text: DOI arXiv
Sugiura, Hiroshi; Hasegawa, Takemitsu Quadrature rule for Abel’s equations: Uniformly approximating fractional derivatives. (English) Zbl 1156.65109 J. Comput. Appl. Math. 223, No. 1, 459-468 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 45J05 45E10 26A33 PDFBibTeX XMLCite \textit{H. Sugiura} and \textit{T. Hasegawa}, J. Comput. Appl. Math. 223, No. 1, 459--468 (2009; Zbl 1156.65109) Full Text: DOI
Abdel-Rehim, E. A.; Gorenflo, R. Simulation of the continuous time random walk of the space-fractional diffusion equations. (English) Zbl 1153.65007 J. Comput. Appl. Math. 222, No. 2, 274-283 (2008). MSC: 65C30 26A33 45K05 60J60 60G50 60G15 60H15 60H35 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim} and \textit{R. Gorenflo}, J. Comput. Appl. Math. 222, No. 2, 274--283 (2008; Zbl 1153.65007) Full Text: DOI
Shen, S.; Liu, Fawang; Anh, V. Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order. (English) Zbl 1157.65520 J. Appl. Math. Comput. 28, No. 1-2, 147-164 (2008). MSC: 65R20 45K05 26A33 65M06 65G50 46F10 60H25 PDFBibTeX XMLCite \textit{S. Shen} et al., J. Appl. Math. Comput. 28, No. 1--2, 147--164 (2008; Zbl 1157.65520) Full Text: DOI Link
Ray, Santanu Saha A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends. (English) Zbl 1147.65107 Appl. Math. Comput. 202, No. 2, 544-549 (2008). MSC: 65R20 45K05 35K05 65M70 26A33 PDFBibTeX XMLCite \textit{S. S. Ray}, Appl. Math. Comput. 202, No. 2, 544--549 (2008; Zbl 1147.65107) Full Text: DOI
Gafiychuk, V.; Datsko, B.; Meleshko, V. Mathematical modeling of time fractional reaction-diffusion systems. (English) Zbl 1152.45008 J. Comput. Appl. Math. 220, No. 1-2, 215-225 (2008). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45K05 26A33 35K57 45M15 65R20 PDFBibTeX XMLCite \textit{V. Gafiychuk} et al., J. Comput. Appl. Math. 220, No. 1--2, 215--225 (2008; Zbl 1152.45008) Full Text: DOI arXiv
Momani, Shaher; Odibat, Zaid A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor’s formula. (English) Zbl 1148.65099 J. Comput. Appl. Math. 220, No. 1-2, 85-95 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 65M12 45K05 45G10 65M70 PDFBibTeX XMLCite \textit{S. Momani} and \textit{Z. Odibat}, J. Comput. Appl. Math. 220, No. 1--2, 85--95 (2008; Zbl 1148.65099) Full Text: DOI
Marseguerra, M.; Zoia, A. Monte Carlo evaluation of FADE approach to anomalous kinetics. (English) Zbl 1138.65003 Math. Comput. Simul. 77, No. 4, 345-357 (2008). MSC: 65C05 65C35 44A10 45K05 PDFBibTeX XMLCite \textit{M. Marseguerra} and \textit{A. Zoia}, Math. Comput. Simul. 77, No. 4, 345--357 (2008; Zbl 1138.65003) Full Text: DOI arXiv
Ray, S. Saha; Chaudhuri, K. S.; Bera, R. K. Application of modified decomposition method for the analytical solution of space fractional diffusion equation. (English) Zbl 1133.65119 Appl. Math. Comput. 196, No. 1, 294-302 (2008). MSC: 65R20 26A33 45K05 35K15 65M70 PDFBibTeX XMLCite \textit{S. S. Ray} et al., Appl. Math. Comput. 196, No. 1, 294--302 (2008; Zbl 1133.65119) Full Text: DOI
Zhang, Shuqin Solution of semi-boundless mixed problem for time-fractional telegraph equation. (English) Zbl 1149.45008 Acta Math. Appl. Sin., Engl. Ser. 23, No. 4, 611-618 (2007). Reviewer: V. Lakshmikantham (Melbourne/Florida) MSC: 45K05 26A33 35A22 35L15 44A10 42A38 PDFBibTeX XMLCite \textit{S. Zhang}, Acta Math. Appl. Sin., Engl. Ser. 23, No. 4, 611--618 (2007; Zbl 1149.45008) Full Text: DOI
Garg, Mridula; Rao, Alka Fractional extensions of some boundary value problems in oil strata. (English) Zbl 1210.35138 Proc. Indian Acad. Sci., Math. Sci. 117, No. 2, 267-281 (2007). MSC: 35K05 45A05 80A20 PDFBibTeX XMLCite \textit{M. Garg} and \textit{A. Rao}, Proc. Indian Acad. Sci., Math. Sci. 117, No. 2, 267--281 (2007; Zbl 1210.35138) Full Text: DOI arXiv
Mainardi, Francesco; Pagnini, Gianni The role of the Fox-Wright functions in fractional sub-diffusion of distributed order. (English) Zbl 1120.35002 J. Comput. Appl. Math. 207, No. 2, 245-257 (2007). MSC: 35A08 35A22 26A33 33E12 33C45 33C60 44A10 45K05 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, J. Comput. Appl. Math. 207, No. 2, 245--257 (2007; Zbl 1120.35002) Full Text: DOI arXiv
Gorenflo, R.; Abdel-Rehim, E. A. Convergence of the Grünwald-Letnikov scheme for time-fractional diffusion. (English) Zbl 1127.65100 J. Comput. Appl. Math. 205, No. 2, 871-881 (2007). Reviewer: Pat Lumb (Chester) MSC: 65R20 60J60 26A33 60G50 65M06 45K05 65M12 PDFBibTeX XMLCite \textit{R. Gorenflo} and \textit{E. A. Abdel-Rehim}, J. Comput. Appl. Math. 205, No. 2, 871--881 (2007; Zbl 1127.65100) Full Text: DOI
Mainardi, Francesco; Gorenflo, Rudolf; Vivoli, Alessandro Beyond the Poisson renewal process: a tutorial survey. (English) Zbl 1115.60082 J. Comput. Appl. Math. 205, No. 2, 725-735 (2007). MSC: 60K05 60K25 26A33 33E12 45K05 47G30 60G50 60G51 60G55 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Comput. Appl. Math. 205, No. 2, 725--735 (2007; Zbl 1115.60082) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf Some aspects of fractional diffusion equations of single and distributed order. (English) Zbl 1122.26004 Appl. Math. Comput. 187, No. 1, 295-305 (2007). Reviewer: K. C. Gupta (Jaipur) MSC: 26A33 45K05 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Appl. Math. Comput. 187, No. 1, 295--305 (2007; Zbl 1122.26004) Full Text: DOI arXiv
Weideman, J. A. C.; Trefethen, L. N. Parabolic and hyperbolic contours for computing the Bromwich integral. (English) Zbl 1113.65119 Math. Comput. 76, No. 259, 1341-1356 (2007). MSC: 65R10 44A10 45K05 35K05 26A33 35A22 PDFBibTeX XMLCite \textit{J. A. C. Weideman} and \textit{L. N. Trefethen}, Math. Comput. 76, No. 259, 1341--1356 (2007; Zbl 1113.65119) Full Text: DOI
Odibat, Zaid M.; Momani, Shaher Approximate solutions for boundary value problems of time-fractional wave equation. (English) Zbl 1148.65100 Appl. Math. Comput. 181, No. 1, 767-774 (2006). MSC: 65R20 45K05 65M70 26A33 35L05 PDFBibTeX XMLCite \textit{Z. M. Odibat} and \textit{S. Momani}, Appl. Math. Comput. 181, No. 1, 767--774 (2006; Zbl 1148.65100) Full Text: DOI
Odibat, Zaid M. A reliable modification of the rectangular decomposition method. (English) Zbl 1109.65118 Appl. Math. Comput. 183, No. 2, 1226-1234 (2006). MSC: 65R20 45K05 26A33 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Appl. Math. Comput. 183, No. 2, 1226--1234 (2006; Zbl 1109.65118) Full Text: DOI
Shen, S.; Liu, Fawang; Anh, V.; Turner, I. Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. (English) Zbl 1111.65115 J. Appl. Math. Comput. 22, No. 3, 1-19 (2006). Reviewer: Neville Ford (Chester) MSC: 65R20 45J05 26A33 PDFBibTeX XMLCite \textit{S. Shen} et al., J. Appl. Math. Comput. 22, No. 3, 1--19 (2006; Zbl 1111.65115) Full Text: DOI
Odibat, Zaid M. Rectangular decomposition method for fractional diffusion-wave equations. (English) Zbl 1100.65125 Appl. Math. Comput. 179, No. 1, 92-97 (2006). MSC: 65R20 45K05 26A33 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Appl. Math. Comput. 179, No. 1, 92--97 (2006; Zbl 1100.65125) Full Text: DOI
Mainardi, Francesco Applications of integral transforms in fractional diffusion processes. (English) Zbl 1093.45003 Integral Transforms Spec. Funct. 15, No. 6, 477-484 (2004). Reviewer: Neville Ford (Chester) MSC: 45K05 44A10 26A33 33E12 42A38 35A22 60J60 35K05 PDFBibTeX XMLCite \textit{F. Mainardi}, Integral Transforms Spec. Funct. 15, No. 6, 477--484 (2004; Zbl 1093.45003) Full Text: DOI arXiv
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P. Time fractional advection-dispersion equation. (English) Zbl 1068.26006 J. Appl. Math. Comput. 13, No. 1-2, 233-245 (2003). Reviewer: Rudolf Gorenflo (Berlin) MSC: 26A33 33D15 44A10 44A15 45K05 35K57 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Appl. Math. Comput. 13, No. 1--2, 233--245 (2003; Zbl 1068.26006) Full Text: DOI
Mainardi, Francesco; Gorenflo, Rudolf On Mittag-Leffler-type functions in fractional evolution processes. (English) Zbl 0970.45005 J. Comput. Appl. Math. 118, No. 1-2, 283-299 (2000). Reviewer: Ismail Taqi Ali (Safat) MSC: 45J05 26A33 33E20 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{R. Gorenflo}, J. Comput. Appl. Math. 118, No. 1--2, 283--299 (2000; Zbl 0970.45005) Full Text: DOI