{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T17:42:33Z","timestamp":1743010953415,"version":"3.40.3"},"publisher-location":"Cham","reference-count":23,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783031178191"},{"type":"electronic","value":"9783031178207"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-3-031-17820-7_20","type":"book-chapter","created":{"date-parts":[[2023,1,26]],"date-time":"2023-01-26T00:02:42Z","timestamp":1674691362000},"page":"431-445","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Form Factors for Stars Generalized Grey Brownian Motion"],"prefix":"10.1007","author":[{"given":"Jos\u00e9 L.","family":"da Silva","sequence":"first","affiliation":[]},{"given":"Cust\u00f3dia","family":"Drumond","sequence":"additional","affiliation":[]},{"given":"Ludwig","family":"Streit","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,1,26]]},"reference":[{"key":"20_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-0509-5","volume-title":"Spectral Methods in Infinite-Dimensional Analysis","author":"YM Berezansky","year":"1995","unstructured":"Berezansky, Y.M., Kondratiev, Y.G.: Spectral Methods in Infinite-Dimensional Analysis, vol. 1. Kluwer Academic Publishers, Dordrecht (1995)"},{"key":"20_CR2","volume-title":"Mittag-Leffler Functions","author":"R Gorenflo","year":"2014","unstructured":"Gorenflo, R., Kilbas, A.A., Mainardi, F., Rogosin, S.V.: Mittag-Leffler Functions. Springer, Related Topics and Applications (2014)"},{"issue":"7","key":"20_CR3","doi-asserted-by":"publisher","first-page":"2732","DOI":"10.1016\/j.jfa.2016.01.018","volume":"270","author":"M Grothaus","year":"2016","unstructured":"Grothaus, M., Jahnert, F.: Mittag-Leffler analysis II: application to the fractional heat equation. J. Funct. Anal. 270(7), 2732\u20132768 (2016). https:\/\/doi.org\/10.1016\/j.jfa.2016.01.018","journal-title":"J. Funct. Anal."},{"issue":"7","key":"20_CR4","doi-asserted-by":"publisher","first-page":"1876","DOI":"10.1016\/j.jfa.2014.12.007","volume":"268","author":"M Grothaus","year":"2015","unstructured":"Grothaus, M., Jahnert, F., Riemann, F., Silva, J.L.: Mittag-Leffler analysis I: construction and characterization. J. Funct. Anal. 268(7), 1876\u20131903 (2015). https:\/\/doi.org\/10.1016\/j.jfa.2014.12.007","journal-title":"J. Funct. Anal."},{"key":"20_CR5","unstructured":"Hammouda, B.: Probing nanoscale structures-the sans toolbox (2016). http:\/\/www.ncnr.nist.gov\/staff\/hammouda\/"},{"key":"20_CR6","volume-title":"White Noise. An Infinite Dimensional Calculus","author":"T Hida","year":"1993","unstructured":"Hida, T., Kuo, H.H., Potthoff, J., Streit, L.: White Noise. An Infinite Dimensional Calculus. Kluwer Academic Publishers, Dordrecht (1993)"},{"issue":"4","key":"20_CR7","first-page":"437","volume":"5","author":"AA Kilbas","year":"2002","unstructured":"Kilbas, A.A., Saigo, M., Trujillo, J.J.: On the generalized Wright function. Fract. Calc. Appl. Anal. 5(4), 437\u2013460 (2002)","journal-title":"Fract. Calc. Appl. Anal."},{"key":"20_CR8","volume-title":"Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies","author":"AA Kilbas","year":"2006","unstructured":"Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, vol. 204. Elsevier Science B.V, Amsterdam (2006)"},{"key":"20_CR9","doi-asserted-by":"crossref","unstructured":"Mainardi, F.: Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models. World Scientific (2010)","DOI":"10.1142\/p614"},{"key":"20_CR10","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1016\/j.cam.2006.10.014","volume":"207","author":"F Mainardi","year":"2007","unstructured":"Mainardi, F., Pagnini, G.: The role of the Fox-Wright functions in fractional sub-diffusion of distributed order. J. Comput. Anal. Appl. 207, 245\u2013257 (2007). https:\/\/doi.org\/10.1016\/j.cam.2006.10.014","journal-title":"J. Comput. Anal. Appl."},{"issue":"4","key":"20_CR11","first-page":"441","volume":"6","author":"F Mainardi","year":"2003","unstructured":"Mainardi, F., Pagnini, G., Gorenflo, R.: Mellin transform and subordination laws in fractional diffusion processes. Fract. Calc. Appl. Anal. 6(4), 441\u2013459 (2003)","journal-title":"Fract. Calc. Appl. Anal."},{"key":"20_CR12","doi-asserted-by":"crossref","unstructured":"Mathai, A.M., Haubold, H.J.: Special Functions for Applied Scientists. Springer (2008)","DOI":"10.1007\/978-0-387-75894-7"},{"key":"20_CR13","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1016\/j.jcp.2014.12.015","volume":"293","author":"A Mentrelli","year":"2015","unstructured":"Mentrelli, A., Pagnini, G.: Front propagation in anomalous diffusive media governed by time-fractional diffusion. J. Comput. Phys. 293, 427\u2013441 (2015)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"20_CR14","first-page":"554","volume":"137","author":"GM Mittag-Leffler","year":"1903","unstructured":"Mittag-Leffler, G.M.: Sur la nouvelle fonction $$e_\\alpha (x)$$. CR Acad. Sci. Paris 137(2), 554\u2013558 (1903)","journal-title":"CR Acad. Sci. Paris"},{"issue":"13","key":"20_CR15","first-page":"3","volume":"5","author":"GM Mittag-Leffler","year":"1904","unstructured":"Mittag-Leffler, G.M.: Sopra la funzione $$e_\\alpha (x)$$. Rend. Accad. Lincei 5(13), 3\u20135 (1904)","journal-title":"Rend. Accad. Lincei"},{"issue":"1","key":"20_CR16","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/BF02403200","volume":"29","author":"GM Mittag-Leffler","year":"1905","unstructured":"Mittag-Leffler, G.M.: Sur la repr\u00e9sentation analytique d\u2019une branche uniforme d\u2019une fonction monog\u00e8ne. Acta Math. 29(1), 101\u2013181 (1905). https:\/\/doi.org\/10.1007\/BF02403200","journal-title":"Acta Math."},{"key":"20_CR17","doi-asserted-by":"publisher","unstructured":"Mura, A., Pagnini, G.: Characterizations and simulations of a class of stochastic processes to model anomalous diffusion. J. Phys. A Math. Theor. 41(28), 285003, 22 (2008). https:\/\/doi.org\/10.1088\/1751-8113\/41\/28\/285003","DOI":"10.1088\/1751-8113\/41\/28\/285003"},{"key":"20_CR18","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1090\/S0002-9904-1948-09132-7","volume":"54","author":"H Pollard","year":"1948","unstructured":"Pollard, H.: The completely monotonic character of the Mittag-Leffler function $$E_a(-x)$$. Bull. Amer. Math. Soc. 54, 1115\u20131116 (1948)","journal-title":"Bull. Amer. Math. Soc."},{"key":"20_CR19","unstructured":"Samko, S.G., Kilbas, A.A., Marichev, O.I.: Fractional integrals and derivatives. Gordon and Breach Science Publishers. Yverdon (1993). Theory and applications, Edited and with a foreword by S. M. Nikol\u2019ski\u012d, Translated from the 1987 Russian original, Revised by the authors"},{"key":"20_CR20","first-page":"676","volume-title":"Stochastic Processes, Physics and Geometry","author":"WR Schneider","year":"1990","unstructured":"Schneider, W.R.: Grey noise. In: Albeverio, S., Casati, G., Cattaneo, U., Merlini, D., Moresi, R. (eds.) Stochastic Processes, Physics and Geometry, pp. 676\u2013681. World Scientific Publishing, Teaneck, NJ (1990)"},{"key":"20_CR21","first-page":"261","volume-title":"Ideas and Methods in Mathematical Analysis, Stochastics, and Applications (Oslo, 1988)","author":"WR Schneider","year":"1992","unstructured":"Schneider, W.R.: Grey noise. In: Albeverio, S., Fenstad, J.E., Holden, H., Lindstr\u00f8m, T. (eds.) Ideas and Methods in Mathematical Analysis, Stochastics, and Applications (Oslo, 1988), pp. 261\u2013282. Cambridge Univ. Press, Cambridge (1992)"},{"issue":"2","key":"20_CR22","doi-asserted-by":"publisher","first-page":"396","DOI":"10.1515\/fca-2019-0024","volume":"22","author":"JL da Silva","year":"2019","unstructured":"da Silva, J.L., Streit, L.: Structure factors for generalized grey Browinian motion. Fract. Calc. Appl. Anal. 22(2), 396\u2013411 (2019). https:\/\/doi.org\/10.1515\/fca-2019-0024","journal-title":"Fract. Calc. Appl. Anal."},{"key":"20_CR23","doi-asserted-by":"publisher","DOI":"10.1002\/0471224510","volume-title":"Polymer Solutions: An Introduction to Physical Properties","author":"I Teraoka","year":"2002","unstructured":"Teraoka, I.: Polymer Solutions: An Introduction to Physical Properties. Wiley, New York (2002)"}],"container-title":["Springer Proceedings in Mathematics & Statistics","Stochastic Processes, Statistical Methods, and Engineering Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-17820-7_20","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,26]],"date-time":"2023-01-26T18:15:13Z","timestamp":1674756913000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-17820-7_20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783031178191","9783031178207"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-17820-7_20","relation":{},"ISSN":["2194-1009","2194-1017"],"issn-type":[{"type":"print","value":"2194-1009"},{"type":"electronic","value":"2194-1017"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"26 January 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SPAS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Stochastic Processes and Algebraic Structures","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"V\u00e4ster\u00e5s","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Sweden","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"30 September 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2 October 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"spas2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/spas2019.wordpress.com\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}