{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,6]],"date-time":"2026-01-06T02:13:42Z","timestamp":1767665622586,"version":"build-2065373602"},"reference-count":15,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,9,19]],"date-time":"2022-09-19T00:00:00Z","timestamp":1663545600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In the present article, we give analytical solutions for temperature distribution in a rectangular parallelepiped with the help of a multivariable I-function. The results established in this paper are of a general character from which several known and new results can be deduced. We also give the special and particular cases of our main findings.<\/jats:p>","DOI":"10.3390\/axioms11090488","type":"journal-article","created":{"date-parts":[[2022,9,19]],"date-time":"2022-09-19T21:47:27Z","timestamp":1663624047000},"page":"488","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5415-1777","authenticated-orcid":false,"given":"Dinesh","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Applied Sciences, College of Agriculture-Jodhpur, Agriculture University Jodhpur, Jodhpur 342304, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0651-294X","authenticated-orcid":false,"given":"Fr\u00e9d\u00e9ric Yves","family":"Ayant","sequence":"additional","affiliation":[{"name":"Coll\u00e9ge Jean L\u2019herminier, All\u00e9e des Nymph\u00e9as, 83500 La Seyne-sur-Mer, France"},{"name":"Department VAR, Avenue Joseph Raynaud le Parc Fleuri, 83140 Six-Fours-les-Plages, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1694-7907","authenticated-orcid":false,"given":"Clemente","family":"Cesarano","sequence":"additional","affiliation":[{"name":"Section of Mathematics, Luciano Modica, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 00186 Roma, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"115","DOI":"10.4134\/CKMS.2016.31.1.115","article-title":"Fractional differentiation of the product of Appell function F3 and multivariable H-function","volume":"31","author":"Choi","year":"2016","journal-title":"Commun. Korean Math. Soc."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1457","DOI":"10.2298\/FIL1606457D","article-title":"The multivariable H-function and the general class of Srivastava polynomials involving the generalized Mellin-Barnes contour integrals","volume":"30","author":"Daiya","year":"2016","journal-title":"Filomat"},{"key":"ref_3","unstructured":"Kumar, D. (2017). Generalized Fractional Calculus Operators with Special Functions, LAP LAMBERT Academic Publishing. [1st ed.]."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"8","DOI":"10.22436\/jnsa.009.01.02","article-title":"Generalized fractional integrals involving product of multivariable H-function and a general class of polynomials","volume":"9","author":"Kumar","year":"2016","journal-title":"J. Nonlinear Sci. 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