{"id":"https://openalex.org/W4282829889","doi":"https://doi.org/10.37622/ijde/17.1.2022.47-52","title":"On Properties of New Fractional Derivative with Mittag-Leffler Kernel of Two Parameters","display_name":"On Properties of New Fractional Derivative with Mittag-Leffler Kernel of Two Parameters","publication_year":2022,"publication_date":"2022-05-30","ids":{"openalex":"https://openalex.org/W4282829889","doi":"https://doi.org/10.37622/ijde/17.1.2022.47-52"},"language":"en","primary_location":{"id":"doi:10.37622/ijde/17.1.2022.47-52","doi":"https://doi.org/10.37622/ijde/17.1.2022.47-52","is_oa":true,"landing_page_url":"https://doi.org/10.37622/ijde/17.1.2022.47-52","pdf_url":"https://doi.org/10.37622/ijde/17.1.2022.47-52","source":{"id":"https://openalex.org/S4210222222","display_name":"International Journal of Difference Equations","issn_l":"0973-6069","issn":["0973-6069","0974-1828"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310318668","host_organization_name":"Research India Publications","host_organization_lineage":["https://openalex.org/P4310318668"],"host_organization_lineage_names":["Research India Publications"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Difference Equations","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W4282829889"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.37622/ijde/17.1.2022.47-52","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091764235","display_name":"Sanjay Madhukar Chinchole","orcid":"https://orcid.org/0000-0003-1670-4814","observed_orcids":["https://orcid.org/0000-0003-1670-4814"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sanjay Madhukar Chinchole","raw_affiliation_strings":["Mahatma Gandhi Vidyamandir's Arts, Science and Commerce College, Manmad, 423104, Maharashtra, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mahatma Gandhi Vidyamandir's Arts, Science and Commerce College, Manmad, 423104, Maharashtra, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013235789","display_name":"Ashok Bhadane","orcid":"https://orcid.org/0000-0002-6359-7575","observed_orcids":["https://orcid.org/0000-0002-6359-7575"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ashok Parashram Bhadane","raw_affiliation_strings":["L. V. H. Mahavidyalaya, Panchavati, Nashik, Maharashtra, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L. V. H. Mahavidyalaya, Panchavati, Nashik, Maharashtra, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.651,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.60125589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"17","issue":"1","first_page":"47","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9868000149726868,"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":0.9868000149726868,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.005799999926239252,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.003800000064074993,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fractional-derivatives","display_name":"fractional derivatives","score":0.9440000057220459},{"id":"https://openalex.org/keywords/mittag-leffler-kernel","display_name":"Mittag-Leffler kernel","score":0.9819999933242798},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"fractional calculus","score":0.6370000243186951}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7514344453811646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6855782866477966},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6433910131454468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5560930967330933},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5505500435829163},{"id":"https://openalex.org/C98724732","wikidata":"https://www.wikidata.org/wiki/Q1935235","display_name":"Mittag-Leffler function","level":3,"score":0.5474059581756592},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4223327040672302},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34785032272338867},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10332232713699341},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37622/ijde/17.1.2022.47-52","doi":"https://doi.org/10.37622/ijde/17.1.2022.47-52","is_oa":true,"landing_page_url":"https://doi.org/10.37622/ijde/17.1.2022.47-52","pdf_url":"https://doi.org/10.37622/ijde/17.1.2022.47-52","source":{"id":"https://openalex.org/S4210222222","display_name":"International Journal of Difference Equations","issn_l":"0973-6069","issn":["0973-6069","0974-1828"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310318668","host_organization_name":"Research India Publications","host_organization_lineage":["https://openalex.org/P4310318668"],"host_organization_lineage_names":["Research India Publications"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Difference Equations","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37622/ijde/17.1.2022.47-52","doi":"https://doi.org/10.37622/ijde/17.1.2022.47-52","is_oa":true,"landing_page_url":"https://doi.org/10.37622/ijde/17.1.2022.47-52","pdf_url":"https://doi.org/10.37622/ijde/17.1.2022.47-52","source":{"id":"https://openalex.org/S4210222222","display_name":"International Journal of Difference Equations","issn_l":"0973-6069","issn":["0973-6069","0974-1828"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310318668","host_organization_name":"Research India Publications","host_organization_lineage":["https://openalex.org/P4310318668"],"host_organization_lineage_names":["Research India Publications"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Difference Equations","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4282829889.pdf","grobid_xml":"https://content.openalex.org/works/W4282829889.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2187932833","https://openalex.org/W2266990400","https://openalex.org/W4291667658"],"related_works":["https://openalex.org/W4291667658","https://openalex.org/W6991155520","https://openalex.org/W2903782776","https://openalex.org/W3011528834","https://openalex.org/W2771634040","https://openalex.org/W4409666210","https://openalex.org/W7074019288","https://openalex.org/W2760840805","https://openalex.org/W4380882032","https://openalex.org/W2467101870"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"derive":[4],"some":[5],"properties":[6],"of":[7,15],"a":[8],"new":[9],"fractional":[10,29],"derivative":[11],"with":[12],"Mittag-Leffler":[13],"kernel":[14],"two":[16],"parameters":[17],"recently":[18],"introduced":[19],"by":[20],"Chinchole":[21],"and":[22],"Bhadane.We":[23],"also":[24],"describe":[25],"its":[26],"application":[27],"to":[28],"falling":[30],"body":[31],"problem.":[32]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-06-15T00:00:00"}