Das, Subhajit; Rahman, Md Sadikur; Shaikh, Ali Akbar; Bhunia, Asoke Kumar; Konstantaras, Ioannis Interval Laplace transform and its application in production inventory. (English) Zbl 07781782 Math. Methods Appl. Sci. 46, No. 4, 3983-4002 (2023). MSC: 44A10 65G40 65R10 90B05 PDFBibTeX XMLCite \textit{S. Das} et al., Math. Methods Appl. Sci. 46, No. 4, 3983--4002 (2023; Zbl 07781782) 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
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
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
Altinkaya, Şahsene On the inclusion properties for \(\vartheta\)-spirallike functions involving both Mittag-Leffler and Wright function. (English) Zbl 1495.30004 Turk. J. Math. 46, No. 3, 1119-1131 (2022). MSC: 30C45 33E12 PDFBibTeX XMLCite \textit{Ş. Altinkaya}, Turk. J. Math. 46, No. 3, 1119--1131 (2022; Zbl 1495.30004) Full Text: DOI
Labadla, A.; Chaoui, A. Discretization scheme of fractional parabolic equation with nonlocal coefficient and unknown flux on the Dirichlet boundary. (English) Zbl 07553749 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 1, 63-76 (2022). MSC: 65-XX 35D30 35R11 65M20 65M22 PDFBibTeX XMLCite \textit{A. Labadla} and \textit{A. Chaoui}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 1, 63--76 (2022; Zbl 07553749) Full Text: Link Link
Tawfik, Ashraf M.; Abdelhamid, Hamdi M. Generalized fractional diffusion equation with arbitrary time varying diffusivity. (English) Zbl 1510.35152 Appl. Math. Comput. 410, Article ID 126449, 10 p. (2021). MSC: 35K57 35R11 PDFBibTeX XMLCite \textit{A. M. Tawfik} and \textit{H. M. Abdelhamid}, Appl. Math. Comput. 410, Article ID 126449, 10 p. (2021; Zbl 1510.35152) 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
Qu, Haidong; She, Zihang; Liu, Xuan Neural network method for solving fractional diffusion equations. (English) Zbl 1470.65182 Appl. Math. Comput. 391, Article ID 125635, 25 p. (2021). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{H. Qu} et al., Appl. Math. Comput. 391, Article ID 125635, 25 p. (2021; Zbl 1470.65182) 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
Özarslan, Mehmet Ali; Kürt, Cemaliye Nonhomogeneous initial and boundary value problem for the Caputo-type fractional wave equation. (English) Zbl 1459.35382 Adv. Difference Equ. 2019, Paper No. 199, 14 p. (2019). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{M. A. Özarslan} and \textit{C. Kürt}, Adv. Difference Equ. 2019, Paper No. 199, 14 p. (2019; Zbl 1459.35382) Full Text: DOI
Yu, Xiangnan; Zhang, Yong; Sun, HongGuang; Zheng, Chunmiao Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: analytical solution in bounded-domain and model comparison. (English) Zbl 1416.35300 Chaos Solitons Fractals 115, 306-312 (2018). MSC: 35R11 35C10 60J60 PDFBibTeX XMLCite \textit{X. Yu} et al., Chaos Solitons Fractals 115, 306--312 (2018; Zbl 1416.35300) Full Text: DOI
Joshi, Hardik; Jha, Brajesh Kumar Fractionally delineate the neuroprotective function of calbindin-\(D_{2 8 k}\) in Parkinson’s disease. (English) Zbl 1405.92045 Int. J. Biomath. 11, No. 8, Article ID 1850103, 19 p. (2018). MSC: 92C20 92C50 92C40 26A33 35R11 35Q92 PDFBibTeX XMLCite \textit{H. Joshi} and \textit{B. K. Jha}, Int. J. Biomath. 11, No. 8, Article ID 1850103, 19 p. (2018; Zbl 1405.92045) Full Text: DOI
Fuziki, M. E. K.; Lenzi, M. K.; Ribeiro, M. A.; Novatski, A.; Lenzi, E. K. Diffusion process and reaction on a surface. (English) Zbl 1410.35235 Adv. Math. Phys. 2018, Article ID 6162043, 11 p. (2018). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 74M15 35R11 35K57 35R09 PDFBibTeX XMLCite \textit{M. E. K. Fuziki} et al., Adv. Math. Phys. 2018, Article ID 6162043, 11 p. (2018; Zbl 1410.35235) Full Text: DOI
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
Goos, Demian Nahuel; Reyero, Gabriela Fernanda Mathematical analysis of a Cauchy problem for the time-fractional diffusion-wave equation with \( \alpha \in (0,2) \). (English) Zbl 1394.35553 J. Fourier Anal. Appl. 24, No. 2, 560-582 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 35R11 33E12 35G10 42A38 PDFBibTeX XMLCite \textit{D. N. Goos} and \textit{G. F. Reyero}, J. Fourier Anal. Appl. 24, No. 2, 560--582 (2018; Zbl 1394.35553) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru; Huang, Lan-Lan Chaos synchronization of the fractional Rucklidge system based on new Adomian polynomials. (English) Zbl 1492.37097 J. Appl. Nonlinear Dyn. 6, No. 3, 379-385 (2017). MSC: 37N35 26A33 34A08 34D06 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., J. Appl. Nonlinear Dyn. 6, No. 3, 379--385 (2017; Zbl 1492.37097) Full Text: DOI
da C. Sousa, J. Vanterler; de Oliveira, E. Capelas; Magna, L. A. Fractional calculus and the ESR test. (English) Zbl 1427.35313 AIMS Math. 2, No. 4, 692-705 (2017). MSC: 35R11 35Q92 35Q35 92C35 76Z05 PDFBibTeX XMLCite \textit{J. V. da C. Sousa} et al., AIMS Math. 2, No. 4, 692--705 (2017; Zbl 1427.35313) Full Text: DOI arXiv
Zhokh, Alexey A.; Trypolskyi, Andrey A.; Strizhak, Peter E. Application of the time-fractional diffusion equation to methyl alcohol mass transfer in silica. (English) Zbl 1448.76169 Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 501-510 (2017). MSC: 76S05 76R50 35R11 PDFBibTeX XMLCite \textit{A. A. Zhokh} et al., Lect. Notes Electr. Eng. 407, 501--510 (2017; Zbl 1448.76169) Full Text: DOI
Ferreira, M.; Vieira, N. Multidimensional time fractional diffusion equation. (English) Zbl 1408.35212 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer. 107-117 (2017). MSC: 35R11 74F05 74A15 35Q74 PDFBibTeX XMLCite \textit{M. Ferreira} and \textit{N. Vieira}, in: Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 107--117 (2017; Zbl 1408.35212) Full Text: DOI Link
Liemert, André; Kienle, Alwin Radiative transport equation for the Mittag-Leffler path length distribution. (English) Zbl 1364.82054 J. Math. Phys. 58, No. 5, 053511, 15 p. (2017). MSC: 82C70 35R11 35J08 81V80 81R05 65C05 PDFBibTeX XMLCite \textit{A. Liemert} and \textit{A. Kienle}, J. Math. Phys. 58, No. 5, 053511, 15 p. (2017; Zbl 1364.82054) Full Text: DOI
Liemert, André; Kienle, Alwin Computational solutions of the tempered fractional wave-diffusion equation. (English) Zbl 1366.35220 Fract. Calc. Appl. Anal. 20, No. 1, 139-158 (2017). MSC: 35R11 35K57 33E12 60G22 PDFBibTeX XMLCite \textit{A. Liemert} and \textit{A. Kienle}, Fract. Calc. Appl. Anal. 20, No. 1, 139--158 (2017; Zbl 1366.35220) Full Text: DOI
Ferreira, M.; Vieira, N. Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators. (English) Zbl 1353.35008 J. Math. Anal. Appl. 447, No. 1, 329-353 (2017). MSC: 35A08 35R11 35C15 PDFBibTeX XMLCite \textit{M. Ferreira} and \textit{N. Vieira}, J. Math. Anal. Appl. 447, No. 1, 329--353 (2017; Zbl 1353.35008) Full Text: DOI Link
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
Shakeel, Abdul; Ahmad, Sohail; Khan, Hamid; Vieru, Dumitru Solutions with wright functions for time fractional convection flow near a heated vertical plate. (English) Zbl 1419.80011 Adv. Difference Equ. 2016, Paper No. 51, 11 p. (2016). MSC: 80A20 76A10 26A33 35Q35 PDFBibTeX XMLCite \textit{A. Shakeel} et al., Adv. Difference Equ. 2016, Paper No. 51, 11 p. (2016; Zbl 1419.80011) Full Text: DOI
Kamocki, Rafał Necessary and sufficient optimality conditions for fractional nonhomogeneous Roesser model. (English) Zbl 1346.49028 Optim. Control Appl. Methods 37, No. 4, 574-589 (2016). MSC: 49K15 34A08 PDFBibTeX XMLCite \textit{R. Kamocki}, Optim. Control Appl. Methods 37, No. 4, 574--589 (2016; Zbl 1346.49028) 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
Ansari, Alireza On the Fourier transform of the products of M-Wright functions. (English) Zbl 1412.33020 Bol. Soc. Parana. Mat. (3) 33, No. 1, 247-256 (2015). MSC: 33C47 43A30 PDFBibTeX XMLCite \textit{A. Ansari}, Bol. Soc. Parana. Mat. (3) 33, No. 1, 247--256 (2015; Zbl 1412.33020) Full Text: Link
Liu, Songshu; Feng, Lixin A modified kernel method for a time-fractional inverse diffusion problem. (English) Zbl 1422.35184 Adv. Difference Equ. 2015, Paper No. 342, 11 p. (2015). MSC: 35R25 35R30 35R11 47A52 PDFBibTeX XMLCite \textit{S. Liu} and \textit{L. Feng}, Adv. Difference Equ. 2015, Paper No. 342, 11 p. (2015; Zbl 1422.35184) Full Text: DOI
Mentrelli, Andrea; Pagnini, Gianni Front propagation in anomalous diffusive media governed by time-fractional diffusion. (English) Zbl 1349.35404 J. Comput. Phys. 293, 427-441 (2015). MSC: 35R11 35K57 60G22 60J60 PDFBibTeX XMLCite \textit{A. Mentrelli} and \textit{G. Pagnini}, J. Comput. Phys. 293, 427--441 (2015; Zbl 1349.35404) Full Text: DOI Link
Mophou, G.; Tao, S.; Joseph, C. Initial value/boundary value problem for composite fractional relaxation equation. (English) Zbl 1338.35475 Appl. Math. Comput. 257, 134-144 (2015). MSC: 35R11 PDFBibTeX XMLCite \textit{G. Mophou} et al., Appl. Math. Comput. 257, 134--144 (2015; Zbl 1338.35475) Full Text: DOI
Liemert, André; Kienle, Alwin Fundamental solution of the tempered fractional diffusion equation. (English) Zbl 1328.35278 J. Math. Phys. 56, No. 11, 113504, 14 p. (2015). MSC: 35R11 35K57 35A08 PDFBibTeX XMLCite \textit{A. Liemert} and \textit{A. Kienle}, J. Math. Phys. 56, No. 11, 113504, 14 p. (2015; Zbl 1328.35278) Full Text: DOI
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang An operator theoretical approach to Riemann-Liouville fractional Cauchy problem. (English) Zbl 1322.34011 Math. Nachr. 288, No. 7, 784-797 (2015). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34A08 34A12 34G10 PDFBibTeX XMLCite \textit{Z.-D. Mei} et al., Math. Nachr. 288, No. 7, 784--797 (2015; Zbl 1322.34011) Full Text: DOI
Saxena, Ram K.; Chauhan, Jignesh P.; Jana, Ranjan K.; Shukla, Ajay K. Further results on the generalized Mittag-Leffler function operator. (English) Zbl 1311.33013 J. Inequal. Appl. 2015, Paper No. 75, 12 p. (2015). MSC: 33E12 44A10 26A33 PDFBibTeX XMLCite \textit{R. K. Saxena} et al., J. Inequal. Appl. 2015, Paper No. 75, 12 p. (2015; Zbl 1311.33013) Full Text: DOI
Aghili, A.; Masomi, M. R. Integral transform method for solving time fractional systems and fractional heat equation. (English) Zbl 1413.44001 Bol. Soc. Parana. Mat. (3) 32, No. 1, 307-324 (2014). MSC: 44A10 26A33 34A08 34K37 35R11 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{M. R. Masomi}, Bol. Soc. Parana. Mat. (3) 32, No. 1, 307--324 (2014; Zbl 1413.44001) Full Text: Link
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
Li, Xicheng Analytical solutions to a fractional generalized two phase Lame-Clapeyron-Stefan problem. (English) Zbl 1356.80036 Int. J. Numer. Methods Heat Fluid Flow 24, No. 6, 1251-1259 (2014). MSC: 80A22 35R11 35Q79 PDFBibTeX XMLCite \textit{X. Li}, Int. J. Numer. Methods Heat Fluid Flow 24, No. 6, 1251--1259 (2014; Zbl 1356.80036) Full Text: DOI
Takači, Djurdjica; Takači, Arpad; Takači, Aleksandar On the operational solutions of fuzzy fractional differential equations. (English) Zbl 1312.34004 Fract. Calc. Appl. Anal. 17, No. 4, 1100-1113 (2014). MSC: 34A07 34A08 34A30 44A10 PDFBibTeX XMLCite \textit{D. Takači} et al., Fract. Calc. Appl. Anal. 17, No. 4, 1100--1113 (2014; Zbl 1312.34004) Full Text: DOI
Ansari, Alireza; Sheikhani, Amirhossein Refahi New identities for the Wright and the Mittag-Leffler functions using the Laplace transform. (English) Zbl 1302.33019 Asian-Eur. J. Math. 7, No. 3, Article ID 1450038, 8 p. (2014). MSC: 33E12 44A10 PDFBibTeX XMLCite \textit{A. Ansari} and \textit{A. R. Sheikhani}, Asian-Eur. J. Math. 7, No. 3, Article ID 1450038, 8 p. (2014; Zbl 1302.33019) Full Text: DOI
Cao, Junfei; Huang, Zaitang; Zeng, Caibin Weighted pseudo almost automorphic classical solutions and optimal mild solutions for fractional differential equations and application in fractional reaction-diffusion equations. (English) Zbl 1307.34006 J. Math. Chem. 52, No. 7, 1984-2012 (2014). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34A08 34G20 34C27 43A60 47N20 PDFBibTeX XMLCite \textit{J. Cao} et al., J. Math. Chem. 52, No. 7, 1984--2012 (2014; Zbl 1307.34006) Full Text: DOI
Kochubei, Anatoly N. Cauchy problem for fractional diffusion-wave equations with variable coefficients. (English) Zbl 1297.35274 Appl. Anal. 93, No. 10, 2211-2242 (2014). MSC: 35R11 35A01 35A02 35K70 35Q74 PDFBibTeX XMLCite \textit{A. N. Kochubei}, Appl. Anal. 93, No. 10, 2211--2242 (2014; Zbl 1297.35274) Full Text: DOI arXiv
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
Hao, Ya-Juan; Srivastava, H. M.; Jafari, Hossein; Yang, Xiao-Jun Helmholtz and diffusion equations associated with local fractional derivative operators involving the Cantorian and Cantor-type cylindrical coordinates. (English) Zbl 1291.35037 Adv. Math. Phys. 2013, Article ID 754248, 5 p. (2013). MSC: 35J05 35R11 35K99 PDFBibTeX XMLCite \textit{Y.-J. Hao} et al., Adv. Math. Phys. 2013, Article ID 754248, 5 p. (2013; Zbl 1291.35037) Full Text: DOI
Cahoy, Dexter O. Moment estimators for the two-parameter \(M\)-Wright distribution. (English) Zbl 1304.65019 Comput. Stat. 27, No. 3, 487-497 (2012). MSC: 62-08 PDFBibTeX XMLCite \textit{D. O. Cahoy}, Comput. Stat. 27, No. 3, 487--497 (2012; Zbl 1304.65019) Full Text: DOI
Martins, J.; Ribeiro, H. V.; Evangelista, L. R.; da Silva, L. R.; Lenzi, E. K. Fractional Schrödinger equation with noninteger dimensions. (English) Zbl 1297.26017 Appl. Math. Comput. 219, No. 4, 2313-2319 (2012). MSC: 26A33 35R11 PDFBibTeX XMLCite \textit{J. Martins} et al., Appl. Math. Comput. 219, No. 4, 2313--2319 (2012; Zbl 1297.26017) 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
Hu, Ming-Sheng; Agarwal, Ravi P.; Yang, Xiao-Jun Local fractional Fourier series with application to wave equation in fractal vibrating string. (English) Zbl 1257.35193 Abstr. Appl. Anal. 2012, Article ID 567401, 15 p. (2012). MSC: 35R11 33E12 81Q35 PDFBibTeX XMLCite \textit{M.-S. Hu} et al., Abstr. Appl. Anal. 2012, Article ID 567401, 15 p. (2012; Zbl 1257.35193) Full Text: DOI
Cahoy, Dexter O. Estimation and simulation for the \(M\)-Wright function. (English) Zbl 1319.62073 Commun. Stat., Theory Methods 41, No. 7-9, 1466-1477 (2012). MSC: 62G05 65C10 62G20 PDFBibTeX XMLCite \textit{D. O. Cahoy}, Commun. Stat., Theory Methods 41, No. 7--9, 1466--1477 (2012; Zbl 1319.62073) Full Text: DOI
Tomovski, Živorad; Sandev, Trifce Fractional wave equation with a frictional memory kernel of Mittag-Leffler type. (English) Zbl 1246.35204 Appl. Math. Comput. 218, No. 20, 10022-10031 (2012). MSC: 35R11 74H45 74K05 33E15 PDFBibTeX XMLCite \textit{Ž. Tomovski} and \textit{T. Sandev}, Appl. Math. Comput. 218, No. 20, 10022--10031 (2012; Zbl 1246.35204) Full Text: DOI
Mophou, Gisèle. M.; N’Guérékata, Gaston M. On a class of fractional differential equations in a Sobolev space. (English) Zbl 1237.49007 Appl. Anal. 91, No. 1-2, 15-34 (2012). MSC: 49J20 49K20 35Q93 49J27 26A33 PDFBibTeX XMLCite \textit{Gisèle. M. Mophou} and \textit{G. M. N'Guérékata}, Appl. Anal. 91, No. 1--2, 15--34 (2012; Zbl 1237.49007) Full Text: DOI
Dorville, René; Mophou, Gisèle M.; Valmorin, Vincent S. Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. (English) Zbl 1228.35263 Comput. Math. Appl. 62, No. 3, 1472-1481 (2011). MSC: 35R11 49J20 PDFBibTeX XMLCite \textit{R. Dorville} et al., Comput. Math. Appl. 62, No. 3, 1472--1481 (2011; Zbl 1228.35263) Full Text: DOI
Mophou, Gisèle M.; N’guérékata, Gaston M. Optimal control of a fractional diffusion equation with state constraints. (English) Zbl 1228.49003 Comput. Math. Appl. 62, No. 3, 1413-1426 (2011). MSC: 49J15 35R11 PDFBibTeX XMLCite \textit{G. M. Mophou} and \textit{G. M. N'guérékata}, Comput. Math. Appl. 62, No. 3, 1413--1426 (2011; Zbl 1228.49003) Full Text: DOI
Mophou, Gisèle M. Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations. (English) Zbl 1221.34015 Appl. Math. Comput. 217, No. 19, 7579-7587 (2011). Reviewer: Gaston M. N’Guerekata (Baltimore) MSC: 34A08 34G20 43A60 35R11 PDFBibTeX XMLCite \textit{G. M. Mophou}, Appl. Math. Comput. 217, No. 19, 7579--7587 (2011; Zbl 1221.34015) 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
Ateş, İnan; Yıldırım, Ahmet Applications of variational iteration and homotopy perturbation methods to obtain exact solutions for time-fractional diffusion-wave equations. (English) Zbl 1231.65187 Int. J. Numer. Methods Heat Fluid Flow 20, No. 6, 638-654 (2010). MSC: 65M99 35R11 35C05 PDFBibTeX XMLCite \textit{İ. Ateş} and \textit{A. Yıldırım}, Int. J. Numer. Methods Heat Fluid Flow 20, No. 6, 638--654 (2010; Zbl 1231.65187) 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
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey. (English) Zbl 1222.60060 Int. J. Differ. Equ. 2010, Article ID 104505, 29 p. (2010). MSC: 60J60 26A33 60G17 35R11 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Int. J. Differ. Equ. 2010, Article ID 104505, 29 p. (2010; Zbl 1222.60060) Full Text: DOI arXiv EuDML
Aghili, A.; Ansari, A. Solving partial fractional differential equations using the \(\mathcal L_A\)-transform. (English) Zbl 1195.26006 Asian-Eur. J. Math. 3, No. 2, 209-220 (2010). MSC: 26A33 44A10 44A15 44A35 PDFBibTeX XMLCite \textit{A. Aghili} and \textit{A. Ansari}, Asian-Eur. J. Math. 3, No. 2, 209--220 (2010; Zbl 1195.26006) 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
Takači, Djurdjica; Takači, Arpad; Štrboja, Mirjana On the character of operational solutions of the time-fractional diffusion equation. (English) Zbl 1196.26014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2367-2374 (2010). Reviewer: Tej Singh Nahar (Bhilwara) MSC: 26A33 44A45 44A40 65J10 PDFBibTeX XMLCite \textit{D. Takači} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2367--2374 (2010; Zbl 1196.26014) Full Text: DOI
Ray, Santanu Saha Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method. (English) Zbl 1221.65284 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1295-1306 (2009). MSC: 65M99 35K57 35A25 35C05 PDFBibTeX XMLCite \textit{S. S. Ray}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1295--1306 (2009; Zbl 1221.65284) Full Text: DOI
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf Time-fractional diffusion of distributed order. (English) Zbl 1229.35118 J. Vib. Control 14, No. 9-10, 1267-1290 (2008). MSC: 35K57 26A33 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Vib. Control 14, No. 9--10, 1267--1290 (2008; Zbl 1229.35118) Full Text: DOI arXiv
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
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
Varlamov, Vladimir Fractional derivatives of products of Airy functions. (English) Zbl 1141.33002 J. Math. Anal. Appl. 337, No. 1, 667-685 (2008). Reviewer: Rashmi Jain (Jaipur) MSC: 33C10 26A33 PDFBibTeX XMLCite \textit{V. Varlamov}, J. Math. Anal. Appl. 337, No. 1, 667--685 (2008; Zbl 1141.33002) Full Text: DOI
Balescu, R. V-Langevin equations, continuous time random walks and fractional diffusion. (English) Zbl 1142.82356 Chaos Solitons Fractals 34, No. 1, 62-80 (2007). MSC: 82C31 PDFBibTeX XMLCite \textit{R. Balescu}, Chaos Solitons Fractals 34, No. 1, 62--80 (2007; Zbl 1142.82356) 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
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
Saxena, R. K.; Kalla, S. L. On a unified mixture distribution. (English) Zbl 1106.60016 Appl. Math. Comput. 182, No. 1, 325-332 (2006). MSC: 60E05 PDFBibTeX XMLCite \textit{R. K. Saxena} and \textit{S. L. Kalla}, Appl. Math. Comput. 182, No. 1, 325--332 (2006; Zbl 1106.60016) Full Text: DOI
Sun, Zhi-Zhong; Wu, Xiaonan A fully discrete difference scheme for a diffusion-wave system. (English) Zbl 1094.65083 Appl. Numer. Math. 56, No. 2, 193-209 (2006). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M06 35L15 PDFBibTeX XMLCite \textit{Z.-Z. Sun} and \textit{X. Wu}, Appl. Numer. Math. 56, No. 2, 193--209 (2006; Zbl 1094.65083) Full Text: DOI
Saha Ray, S.; Bera, R. K. Analytical solution of a fractional diffusion equation by Adomian decomposition method. (English) Zbl 1089.65108 Appl. Math. Comput. 174, No. 1, 329-336 (2006). MSC: 65M70 26A33 35K55 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{R. K. Bera}, Appl. Math. Comput. 174, No. 1, 329--336 (2006; Zbl 1089.65108) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni; Saxena, R. K. Fox \(H\) functions in fractional diffusion. (English) Zbl 1061.33012 J. Comput. Appl. Math. 178, No. 1-2, 321-331 (2005). MSC: 33C60 33C20 33E12 33E20 33E30 26A33 44A15 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Comput. Appl. Math. 178, No. 1--2, 321--331 (2005; Zbl 1061.33012) Full Text: DOI
Băleanu, D. About metafluid dynamics. (English) Zbl 1465.76115 Czech. J. Phys. 54, No. 11, 1165-1170 (2004). MSC: 76Y05 76A99 PDFBibTeX XMLCite \textit{D. Băleanu}, Czech. J. Phys. 54, No. 11, 1165--1170 (2004; Zbl 1465.76115) Full Text: DOI