{"id":"https://openalex.org/W3217323655","doi":"https://doi.org/10.3390/axioms10040332","title":"A New Approach on Transforms: Formable Integral Transform and Its Applications","display_name":"A New Approach on Transforms: Formable Integral Transform and Its Applications","publication_year":2021,"publication_date":"2021-12-01","ids":{"openalex":"https://openalex.org/W3217323655","doi":"https://doi.org/10.3390/axioms10040332","mag":"3217323655"},"language":"en","primary_location":{"id":"doi:10.3390/axioms10040332","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040332","pdf_url":"https://www.mdpi.com/2075-1680/10/4/332/pdf?version=1638496964","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://www.mdpi.com/2075-1680/10/4/332/pdf?version=1638496964","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025732055","display_name":"Rania Saadeh","orcid":"https://orcid.org/0000-0002-6394-1452"},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Rania Zohair Saadeh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-6394-1452","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan","institution_ids":["https://openalex.org/I153687341"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037108723","display_name":"Bayan Ghazal","orcid":null},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Bayan fu\u2019ad Ghazal","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan","institution_ids":["https://openalex.org/I153687341"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025732055"],"corresponding_institution_ids":["https://openalex.org/I153687341"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1512},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1512},"fwci":4.1724,"has_fulltext":true,"cited_by_count":56,"citation_normalized_percentile":{"value":0.95228833,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"10","issue":"4","first_page":"332","last_page":"332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9984999895095825,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hartley-transform","display_name":"Hartley transform","score":0.8069543838500977},{"id":"https://openalex.org/keywords/two-sided-laplace-transform","display_name":"Two-sided Laplace transform","score":0.7948256134986877},{"id":"https://openalex.org/keywords/integral-transform","display_name":"Integral transform","score":0.7873904705047607},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.767457127571106},{"id":"https://openalex.org/keywords/laplace-transform-applied-to-differential-equations","display_name":"Laplace transform applied to differential equations","score":0.7419744729995728},{"id":"https://openalex.org/keywords/mellin-transform","display_name":"Mellin transform","score":0.7204301357269287},{"id":"https://openalex.org/keywords/s-transform","display_name":"S transform","score":0.7195990085601807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.645282506942749},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.5874587297439575},{"id":"https://openalex.org/keywords/laplace\u2013stieltjes-transform","display_name":"Laplace\u2013Stieltjes transform","score":0.521999716758728},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"Inverse Laplace transform","score":0.45556899905204773},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38166284561157227},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.3039419949054718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.197272390127182},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.1435309648513794},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08763030171394348},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.07881832122802734},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.06165364384651184}],"concepts":[{"id":"https://openalex.org/C67757890","wikidata":"https://www.wikidata.org/wiki/Q1567607","display_name":"Hartley transform","level":5,"score":0.8069543838500977},{"id":"https://openalex.org/C10288518","wikidata":"https://www.wikidata.org/wiki/Q1785576","display_name":"Two-sided Laplace transform","level":5,"score":0.7948256134986877},{"id":"https://openalex.org/C200052193","wikidata":"https://www.wikidata.org/wiki/Q877802","display_name":"Integral transform","level":2,"score":0.7873904705047607},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.767457127571106},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.7419744729995728},{"id":"https://openalex.org/C199874217","wikidata":"https://www.wikidata.org/wiki/Q606934","display_name":"Mellin transform","level":3,"score":0.7204301357269287},{"id":"https://openalex.org/C99234102","wikidata":"https://www.wikidata.org/wiki/Q7395403","display_name":"S transform","level":5,"score":0.7195990085601807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.645282506942749},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.5874587297439575},{"id":"https://openalex.org/C141255357","wikidata":"https://www.wikidata.org/wiki/Q3997728","display_name":"Laplace\u2013Stieltjes transform","level":5,"score":0.521999716758728},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.45556899905204773},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38166284561157227},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3039419949054718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.197272390127182},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.1435309648513794},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08763030171394348},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.07881832122802734},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.06165364384651184},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms10040332","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040332","pdf_url":"https://www.mdpi.com/2075-1680/10/4/332/pdf?version=1638496964","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:053a3bd9c9d24f87a3824fe14269f379","is_oa":true,"landing_page_url":"https://doaj.org/article/053a3bd9c9d24f87a3824fe14269f379","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 10, Iss 4, p 332 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms10040332","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms10040332","pdf_url":"https://www.mdpi.com/2075-1680/10/4/332/pdf?version=1638496964","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3217323655.pdf","grobid_xml":"https://content.openalex.org/works/W3217323655.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W188390741","https://openalex.org/W1525219438","https://openalex.org/W1686238167","https://openalex.org/W1971732412","https://openalex.org/W1990480308","https://openalex.org/W2018076613","https://openalex.org/W2062545274","https://openalex.org/W2073802281","https://openalex.org/W2125324027","https://openalex.org/W2127778721","https://openalex.org/W2145255260","https://openalex.org/W2234193918","https://openalex.org/W2336724345","https://openalex.org/W2774399473","https://openalex.org/W2936516187","https://openalex.org/W2953754434","https://openalex.org/W3033320498","https://openalex.org/W3091710805","https://openalex.org/W3094038280","https://openalex.org/W3119829609","https://openalex.org/W3145989604","https://openalex.org/W3159272613","https://openalex.org/W3175751893","https://openalex.org/W3190788454","https://openalex.org/W3210208474","https://openalex.org/W3217038909","https://openalex.org/W4245626532","https://openalex.org/W4296249473","https://openalex.org/W6607757599","https://openalex.org/W6665879035","https://openalex.org/W6668628391","https://openalex.org/W6678762147","https://openalex.org/W6703759192","https://openalex.org/W6764362467","https://openalex.org/W6802645097"],"related_works":["https://openalex.org/W3123426594","https://openalex.org/W2519762937","https://openalex.org/W4240340162","https://openalex.org/W4233216946","https://openalex.org/W4237094889","https://openalex.org/W4387423414","https://openalex.org/W3217323655","https://openalex.org/W4254432561","https://openalex.org/W4254600029","https://openalex.org/W2048668317"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,61,89,107],"introduce":[4,28],"a":[5,16,119,136],"new":[6,17,33,58,67,125],"integral":[7,12],"transform":[8,34,68,84,93,111,126],"called":[9],"the":[10,29,32,37,52,57,63,66,74,91,109,124],"Formable":[11,92,110],"transform,":[13,59,76,78,80,82],"which":[14],"is":[15,131],"efficient":[18],"technique":[19],"for":[20,40,112],"solving":[21],"ordinary":[22,97],"and":[23,35,46,54,60,69,85,98,106,115,127,133],"partial":[24,99],"differential":[25,100],"equations.":[26],"We":[27],"definition":[30],"of":[31,56],"give":[36],"sufficient":[38],"conditions":[39],"its":[41],"existence.":[42],"Some":[43],"essential":[44],"properties":[45],"examples":[47],"are":[48],"introduced":[49],"to":[50,94],"show":[51],"efficiency":[53],"applicability":[55],"prove":[62],"duality":[64],"between":[65,123],"other":[70],"transforms":[71,130],"such":[72],"as":[73],"Laplace":[75],"Sumudu":[77],"Elzaki":[79],"ARA":[81],"Natural":[83],"Shehu":[86],"transform.":[87],"Finally,":[88],"use":[90],"solve":[95],"some":[96,113,128],"equations":[101],"by":[102],"presenting":[103],"five":[104],"applications,":[105],"evaluate":[108],"functions":[114],"present":[116],"them":[117],"in":[118,135],"table.":[120,137],"A":[121],"comparison":[122],"well-known":[129],"made":[132],"illustrated":[134]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":15}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2021-12-06T00:00:00"}
