{"id":"https://openalex.org/W7124417810","doi":"https://doi.org/10.1016/j.jocs.2026.102786","title":"Single/multi step optimal and modified homotopy perturbation method for strongly non-linear fractional initial value problems: Global series solution","display_name":"Single/multi step optimal and modified homotopy perturbation method for strongly non-linear fractional initial value problems: Global series solution","publication_year":2026,"publication_date":"2026-01-16","ids":{"openalex":"https://openalex.org/W7124417810","doi":"https://doi.org/10.1016/j.jocs.2026.102786"},"language":"en","primary_location":{"id":"doi:10.1016/j.jocs.2026.102786","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jocs.2026.102786","pdf_url":null,"source":{"id":"https://openalex.org/S192071280","display_name":"Journal of Computational Science","issn_l":"1877-7503","issn":["1877-7503","1877-7511"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016866854","display_name":"Tapas Roy","orcid":"https://orcid.org/0000-0003-4530-0296"},"institutions":[{"id":"https://openalex.org/I41549804","display_name":"Vidyasagar University","ror":"https://ror.org/027jsza11","country_code":"IN","type":"education","lineage":["https://openalex.org/I41549804"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Tapas Roy","raw_affiliation_strings":["Department of Applied Mathematics, Vidyasagar University, Midnapur 721102, WB, India"],"raw_orcid":"https://orcid.org/0000-0003-4530-0296","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Vidyasagar University, Midnapur 721102, WB, India","institution_ids":["https://openalex.org/I41549804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028158011","display_name":"Dilip K. Maiti","orcid":"https://orcid.org/0000-0002-5226-0977"},"institutions":[{"id":"https://openalex.org/I41549804","display_name":"Vidyasagar University","ror":"https://ror.org/027jsza11","country_code":"IN","type":"education","lineage":["https://openalex.org/I41549804"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Dilip K. Maiti","raw_affiliation_strings":["Department of Applied Mathematics, Vidyasagar University, Midnapur 721102, WB, India"],"raw_orcid":"https://orcid.org/0000-0002-5226-0977","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Vidyasagar University, Midnapur 721102, WB, India","institution_ids":["https://openalex.org/I41549804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028158011"],"corresponding_institution_ids":["https://openalex.org/I41549804"],"apc_list":{"value":2810,"currency":"USD","value_usd":2810},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07632999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"94","issue":null,"first_page":"102786","last_page":"102786"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9623000025749207,"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":0.9623000025749207,"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/T11081","display_name":"Advanced Control Systems Design","score":0.009600000455975533,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.006300000008195639,"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/initial-value-problem","display_name":"Initial value problem","score":0.6510000228881836},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5946999788284302},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.5566999912261963},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5490000247955322},{"id":"https://openalex.org/keywords/convergent-series","display_name":"Convergent series","score":0.5486999750137329},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5404999852180481},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5242999792098999},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5008999705314636}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6743000149726868},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.6510000228881836},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5946999788284302},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5720999836921692},{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.5566999912261963},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5490000247955322},{"id":"https://openalex.org/C1115519","wikidata":"https://www.wikidata.org/wiki/Q1211057","display_name":"Convergent series","level":3,"score":0.5486999750137329},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5404999852180481},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5242999792098999},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5008999705314636},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4867999851703644},{"id":"https://openalex.org/C91328119","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy perturbation method","level":3,"score":0.44029998779296875},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.413100004196167},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38429999351501465},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33709999918937683},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.3305000066757202},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.31529998779296875},{"id":"https://openalex.org/C157977623","wikidata":"https://www.wikidata.org/wiki/Q2650267","display_name":"Predictor\u2013corrector method","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.26190000772476196}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jocs.2026.102786","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jocs.2026.102786","pdf_url":null,"source":{"id":"https://openalex.org/S192071280","display_name":"Journal of Computational Science","issn_l":"1877-7503","issn":["1877-7503","1877-7511"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3298986651","display_name":null,"funder_award_id":"dated-13/12/2019","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"},{"id":"https://openalex.org/G6677079174","display_name":null,"funder_award_id":"SR/FST/MS- 1/2018/21","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"funders":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1963804126","https://openalex.org/W1965027360","https://openalex.org/W1967244805","https://openalex.org/W1974519995","https://openalex.org/W1977344101","https://openalex.org/W2016062914","https://openalex.org/W2017834612","https://openalex.org/W2019944347","https://openalex.org/W2066693071","https://openalex.org/W2067107547","https://openalex.org/W2080456722","https://openalex.org/W2090884836","https://openalex.org/W2119794696","https://openalex.org/W2134086237","https://openalex.org/W2165917005","https://openalex.org/W2884885555","https://openalex.org/W2896398947","https://openalex.org/W2899167481","https://openalex.org/W4225132488","https://openalex.org/W4253062931","https://openalex.org/W4294904757","https://openalex.org/W4322628906","https://openalex.org/W4380271777","https://openalex.org/W4380683322","https://openalex.org/W4381890964","https://openalex.org/W4386779642","https://openalex.org/W4388185958","https://openalex.org/W4390731799"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2026-01-17T00:00:00"}
