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An equivalence between these problems is proved and the convergence to the classical solutions is analysed when $ \\al \\nearrow $ 1 recovering the heat equation with its respective Stefan's condition."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1306.1750","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-06-07T15:30:03Z","cross_cats_sorted":[],"title_canon_sha256":"d117a035f4a9db7a428160a1daf706808f976e8cfd073740f304eea052b55a11","abstract_canon_sha256":"7407b8b933067958671548f32459a4ed2e14c28abe8f986facd20046cea9bb96"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:12.447550Z","signature_b64":"Vc30GKxCUjBssi6xYLxEGCn801N6JVIbMcKzmEV0y4IA50zV8ql3FUsZmbMozDofvdYnlmznhEHt9wBubYTJCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42f4ed2f815c3e2e56462a65a7a97cc81a0aa8c7f9c21ca8f62a42bf6cb8f8b2","last_reissued_at":"2026-05-18T03:13:12.446840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:12.446840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two equivalent Stefan's problems for the Time Fractional Diffusion Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eduardo A. 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