{"id":"https://openalex.org/W4414257713","doi":"https://doi.org/10.3390/axioms14090697","title":"On the Laplace-Type Transform and Its Applications","display_name":"On the Laplace-Type Transform and Its Applications","publication_year":2025,"publication_date":"2025-09-15","ids":{"openalex":"https://openalex.org/W4414257713","doi":"https://doi.org/10.3390/axioms14090697"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14090697","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14090697","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14090697","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008693320","display_name":"Slobodan B. Tri\u010dkovi\u0107","orcid":"https://orcid.org/0000-0002-3766-8579"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Slobodan B. Tri\u010dkovi\u0107","raw_affiliation_strings":["Department of Mathematics, University of Ni\u0161, 18000 Ni\u0161, Serbia"],"raw_orcid":"https://orcid.org/0000-0002-3766-8579","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Ni\u0161, 18000 Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103461410","display_name":"Miomir S. Stankovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I1338511612","display_name":"Serbian Academy of Sciences and Arts","ror":"https://ror.org/05m1y4204","country_code":"RS","type":"government","lineage":["https://openalex.org/I1338511612"]},{"id":"https://openalex.org/I4390039372","display_name":"Mathematical Institute of the Serbian Academy of Sciences and Arts","ror":"https://ror.org/02jxk1021","country_code":null,"type":"education","lineage":["https://openalex.org/I1338511612","https://openalex.org/I4390039372"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Miomir S. Stankovi\u0107","raw_affiliation_strings":["Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia","institution_ids":["https://openalex.org/I1338511612","https://openalex.org/I4390039372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008693320"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34587365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"9","first_page":"697","last_page":"697"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.7802000045776367},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5846999883651733},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5300999879837036},{"id":"https://openalex.org/keywords/laplace-transform-applied-to-differential-equations","display_name":"Laplace transform applied to differential equations","score":0.5210000276565552},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4936999976634979},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4196999967098236},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.4187000095844269},{"id":"https://openalex.org/keywords/two-sided-laplace-transform","display_name":"Two-sided Laplace transform","score":0.4050000011920929}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7802000045776367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7228000164031982},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5846999883651733},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5300999879837036},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.5210000276565552},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4936999976634979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48989999294281006},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.426800012588501},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4196999967098236},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.4187000095844269},{"id":"https://openalex.org/C10288518","wikidata":"https://www.wikidata.org/wiki/Q1785576","display_name":"Two-sided Laplace transform","level":5,"score":0.4050000011920929},{"id":"https://openalex.org/C135925592","wikidata":"https://www.wikidata.org/wiki/Q2637908","display_name":"Orthogonal functions","level":2,"score":0.4000999927520752},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3686999976634979},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.35359999537467957},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.319599986076355},{"id":"https://openalex.org/C199874217","wikidata":"https://www.wikidata.org/wiki/Q606934","display_name":"Mellin transform","level":3,"score":0.31540000438690186},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C208067445","wikidata":"https://www.wikidata.org/wiki/Q5602166","display_name":"Green's function for the three-variable Laplace equation","level":4,"score":0.3010999858379364},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.26910001039505005},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.263700008392334},{"id":"https://openalex.org/C119200878","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Post's inversion formula","level":5,"score":0.2630000114440918},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.2590000033378601}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14090697","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14090697","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:de0509d6fc204328b3ec86b3fd2cac74","is_oa":true,"landing_page_url":"https://doaj.org/article/de0509d6fc204328b3ec86b3fd2cac74","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 9, p 697 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14090697","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14090697","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1995684845","https://openalex.org/W2049662542","https://openalex.org/W2151149485","https://openalex.org/W2478975883","https://openalex.org/W2486175508","https://openalex.org/W2966873202","https://openalex.org/W4306767410"],"related_works":[],"abstract_inverted_index":{"Using":[0],"the":[1,5,10,14,29,43,52,84,87],"Laplace":[2,30],"transform":[3],"and":[4,79],"Gamma":[6],"function,":[7],"we":[8,34,55],"obtain":[9],"Laplace-type":[11,53],"transform,":[12,54],"with":[13],"property":[15],"of":[16,42,75,86],"mapping":[17],"a":[18,21,36,40,57],"function":[19],"to":[20,51],"functional":[22],"sequence,":[23],"which":[24],"cannot":[25],"be":[26],"realized":[27],"by":[28],"transform.":[31],"In":[32],"addition,":[33],"construct":[35],"backward":[37,44],"difference":[38,45,61],"as":[39],"generalization":[41],"operator":[46],"\u2207.":[47],"By":[48],"connecting":[49],"it":[50],"deduce":[56],"method":[58],"for":[59,69],"solving":[60],"equations":[62],"and,":[63],"relying":[64],"on":[65],"classical":[66],"orthogonal":[67],"polynomials,":[68],"obtaining":[70],"combinatorial":[71],"identities.":[72],"A":[73],"table":[74],"some":[76],"elementary":[77],"functions":[78],"their":[80],"images":[81],"is":[82],"at":[83],"end":[85],"text.":[88]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
