{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T10:55:09Z","timestamp":1698404109878},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,1,15]],"date-time":"2011-01-15T00:00:00Z","timestamp":1295049600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2011,1,15]],"date-time":"2011-01-15T00:00:00Z","timestamp":1295049600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["fcaa"],"published-print":{"date-parts":[[2011,3]]},"DOI":"10.2478\/s13540-011-0003-y","type":"journal-article","created":{"date-parts":[[2011,1,14]],"date-time":"2011-01-14T17:06:01Z","timestamp":1295024761000},"page":"19-30","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Research paper on a 3d-hypersingular equation of a problem for a crack"],"prefix":"10.1007","volume":"14","author":[{"given":"Stefan","family":"Samko","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,1,15]]},"reference":[{"key":"3_CR1","unstructured":"I.S. Gradshtein and I.M. Ryzhik, Tables of Integrals, Sums, Series and Products. 5th Edition, Academic Press, Inc., 1994, 1204 pages."},{"key":"3_CR2","doi-asserted-by":"crossref","unstructured":"G. Iovane and M. A. Sumbatyan, Numerical treatment of hypersingular integral equations with application to crack mechanics, 2003, arXiv:math-ph\/0307025v1.","DOI":"10.1007\/s00707-002-1007-9"},{"issue":"4","key":"3_CR3","first-page":"393","volume":"8","author":"H. Rafeiro","year":"2005","unstructured":"H. Rafeiro and S. Samko, On multidimensional analogue of Marchaud formula for fractional riesz-type derivatives in domains in \u211dn. Fract. Calc. Appl. Anal., 8,No 4 (2005), 393\u2013401.","journal-title":"Fract. Calc. Appl. Anal."},{"key":"3_CR4","doi-asserted-by":"crossref","unstructured":"N.A. Rostovtsev, An integral equation encountered in the problem of a rigid foundation bearing on nonhomogeneous soil. Prikl. Mat. i Mekh.\n                           25 (1961).","DOI":"10.1016\/0021-8928(61)90115-0"},{"issue":"1","key":"3_CR5","first-page":"521","volume":"34","author":"B.S. Rubin","year":"1983","unstructured":"B.S. Rubin, One-dimensional representation, inversion and certain properties of Riesz potentials of radial functions. Mat. Zametki\n                           34, No 1 (1983), 521\u2013533.","journal-title":"Mat. Zametki"},{"key":"3_CR6","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/BF03008419","volume":"63","author":"B.S. Rubin","year":"1994","unstructured":"B.S. Rubin, Fractional integrals and weakly singular integral equations of the first kind in the n-dimensional ball. J. d\u2019Analyse Math. 63 (1994), 55\u2013102.","journal-title":"J. d\u2019Analyse Math."},{"key":"3_CR7","unstructured":"B.S. Rubin, Fractional Integrals and Potentials. Pitman Monographs and Surveys in Pure and Applied Mathematics, 1996. Vol. 82, 409 pages."},{"key":"3_CR8","series-title":"Series \u201dAnalytical Methods and Special Functions\u201d","volume-title":"Hypersingular Integrals and their Applications","author":"S.G. Samko","year":"2002","unstructured":"S.G. Samko, Hypersingular Integrals and their Applications. Taylor & Francis, London-N. York, Series \u201dAnalytical Methods and Special Functions\u201d, Vol. 5, 2002. 358 + xvii pages."},{"key":"3_CR9","volume-title":"Fractional Integrals and Derivatives. Theory and Applications","author":"S.G. Samko","year":"1993","unstructured":"S.G. Samko, A.A. Kilbas, and O.I. Marichev, Fractional Integrals and Derivatives. Theory and Applications. Gordon & Breach. Sci. Publ., London-New-York, 1993, 1012 pages. (Russian Ed.: Fractional Integrals and Derivatives and Some of Their Applications. Nauka i Tekhnika, Minsk, 1987.)"},{"key":"3_CR10","doi-asserted-by":"crossref","unstructured":"M. Sumbatyan and A. Scalia, Equations of Mathematical Diffraction Theory. CRC Press, Series \u201cDifferential and Integral Equations and Their Applications\u201d, 2004.","DOI":"10.1201\/9780203643488"}],"container-title":["Fractional Calculus and Applied Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.2478\/s13540-011-0003-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.2478\/s13540-011-0003-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/s13540-011-0003-y\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/s13540-011-0003-y\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.2478\/s13540-011-0003-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,20]],"date-time":"2022-06-20T05:02:41Z","timestamp":1655701361000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.2478\/s13540-011-0003-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,15]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,3]]}},"alternative-id":["3"],"URL":"https:\/\/doi.org\/10.2478\/s13540-011-0003-y","relation":{},"ISSN":["1311-0454"],"issn-type":[{"value":"1311-0454","type":"print"}],"subject":[],"published":{"date-parts":[[2011,1,15]]},"assertion":[{"value":"15 January 2011","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}