A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Name: Work Video:
Duration: 3 min 30 s
Junesang Choi; Praveen Agarwal
{'id': 'https://openalex.org/W2500436220', 'doi': 'https://doi.org/10.2298/fil1607931c', 'title': 'A note on fractional integral operator associated with multiindex Mittag-Leffler functions', 'display_name': 'A note on fractional integral operator associated with multiindex Mittag-Leffler functions', 'publication_year': 2016, 'publication_date': '2016-01-01', 'ids': {'openalex': 'https://openalex.org/W2500436220', 'doi': 'https://doi.org/10.2298/fil1607931c', 'mag': '2500436220'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.2298/fil1607931c', 'pdf_url': 'http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801607931C', 'source': {'id': 'https://openalex.org/S14920484', 'display_name': 'Filomat', 'issn_l': '0354-5180', 'issn': ['0354-5180', '2406-0933'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310321616', 'host_organization_name': 'University of Niš', 'host_organization_lineage': ['https://openalex.org/P4310321616'], 'host_organization_lineage_names': ['University of Niš'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801607931C', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5040701065', 'display_name': 'Junesang Choi', 'orcid': 'https://orcid.org/0000-0002-7240-7737'}, 'institutions': [{'id': 'https://openalex.org/I205490536', 'display_name': 'Dongguk University', 'ror': 'https://ror.org/057q6n778', 'country_code': 'KR', 'type': 'education', 'lineage': ['https://openalex.org/I205490536']}], 'countries': ['KR'], 'is_corresponding': True, 'raw_author_name': 'Junesang Choi', 'raw_affiliation_strings': ['Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of Korea'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of Korea', 'institution_ids': ['https://openalex.org/I205490536']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5053042789', 'display_name': 'Praveen Agarwal', 'orcid': 'https://orcid.org/0000-0001-7556-8942'}, 'institutions': [{'id': 'https://openalex.org/I4210154633', 'display_name': 'Inspiration Innovation Synergy University', 'ror': 'https://ror.org/04d3d5q14', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I4210154633']}, {'id': 'https://openalex.org/I4401726791', 'display_name': 'Anand International College of Engineering', 'ror': 'https://ror.org/05sy8fj60', 'country_code': None, 'type': 'education', 'lineage': ['https://openalex.org/I4401726791']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Praveen Agarwal', 'raw_affiliation_strings': ['Department of Mathematics, Anand International College of Engineering, Jaipur-303012, India'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Anand International College of Engineering, Jaipur-303012, India', 'institution_ids': ['https://openalex.org/I4210154633', 'https://openalex.org/I4401726791']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': ['https://openalex.org/A5040701065'], 'corresponding_institution_ids': ['https://openalex.org/I205490536'], 'apc_list': None, 'apc_paid': None, 'fwci': 2.047, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 42, 'citation_normalized_percentile': {'value': 0.853258, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 95, 'max': 96}, 'biblio': {'volume': '30', 'issue': '7', 'first_page': '1931', 'last_page': '1939'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10288', 'display_name': 'Fractional Differential Equations Solutions', 'score': 1.0, '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': 1.0, '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/T11191', 'display_name': 'Mathematical functions and polynomials', 'score': 0.9994, '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/T10541', 'display_name': 'Nonlinear Differential Equations Analysis', 'score': 0.9981, '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/mittag-leffler-function', 'display_name': 'Mittag-Leffler function', 'score': 0.86273193}, {'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.60165846}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.91746783}, {'id': 'https://openalex.org/C98724732', 'wikidata': 'https://www.wikidata.org/wiki/Q1935235', 'display_name': 'Mittag-Leffler function', 'level': 3, 'score': 0.86273193}, {'id': 'https://openalex.org/C154249771', 'wikidata': 'https://www.wikidata.org/wiki/Q1339058', 'display_name': 'Fractional calculus', 'level': 2, 'score': 0.8514153}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.60165846}, {'id': 'https://openalex.org/C2777299769', 'wikidata': 'https://www.wikidata.org/wiki/Q3707858', 'display_name': 'Type (biology)', 'level': 2, 'score': 0.5008497}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.48449776}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4690951}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.37857217}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.30769354}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C18903297', 'wikidata': 'https://www.wikidata.org/wiki/Q7150', 'display_name': 'Ecology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C158448853', 'wikidata': 'https://www.wikidata.org/wiki/Q425218', 'display_name': 'Repressor', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C86339819', 'wikidata': 'https://www.wikidata.org/wiki/Q407384', 'display_name': 'Transcription factor', 'level': 3, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.2298/fil1607931c', 'pdf_url': 'http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801607931C', 'source': {'id': 'https://openalex.org/S14920484', 'display_name': 'Filomat', 'issn_l': '0354-5180', 'issn': ['0354-5180', '2406-0933'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310321616', 'host_organization_name': 'University of Niš', 'host_organization_lineage': ['https://openalex.org/P4310321616'], 'host_organization_lineage_names': ['University of Niš'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.2298/fil1607931c', 'pdf_url': 'http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801607931C', 'source': {'id': 'https://openalex.org/S14920484', 'display_name': 'Filomat', 'issn_l': '0354-5180', 'issn': ['0354-5180', '2406-0933'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310321616', 'host_organization_name': 'University of Niš', 'host_organization_lineage': ['https://openalex.org/P4310321616'], 'host_organization_lineage_names': ['University of Niš'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 34, 'referenced_works': ['https://openalex.org/W1489022300', 'https://openalex.org/W1497283712', 'https://openalex.org/W1559873805', 'https://openalex.org/W1584611818', 'https://openalex.org/W1599013339', 'https://openalex.org/W1964684947', 'https://openalex.org/W1982261380', 'https://openalex.org/W19898668', 'https://openalex.org/W1993621494', 'https://openalex.org/W1997448137', 'https://openalex.org/W2003115626', 'https://openalex.org/W2011368105', 'https://openalex.org/W2013450975', 'https://openalex.org/W2045350842', 'https://openalex.org/W2056400535', 'https://openalex.org/W2068858251', 'https://openalex.org/W2071593170', 'https://openalex.org/W2076453374', 'https://openalex.org/W2080765493', 'https://openalex.org/W2081338783', 'https://openalex.org/W2089247897', 'https://openalex.org/W2091714372', 'https://openalex.org/W2108338926', 'https://openalex.org/W2110296303', 'https://openalex.org/W2183050027', 'https://openalex.org/W2187515931', 'https://openalex.org/W2504013284', 'https://openalex.org/W2599181112', 'https://openalex.org/W4285719527', 'https://openalex.org/W4298071626', 'https://openalex.org/W433794350', 'https://openalex.org/W4376663971', 'https://openalex.org/W567230403', 'https://openalex.org/W600585464'], 'related_works': ['https://openalex.org/W4382751250', 'https://openalex.org/W4380882032', 'https://openalex.org/W4312960772', 'https://openalex.org/W3161106688', 'https://openalex.org/W3118558556', 'https://openalex.org/W2947935779', 'https://openalex.org/W2557365333', 'https://openalex.org/W2557099984', 'https://openalex.org/W2500436220', 'https://openalex.org/W1537973975'], 'abstract_inverted_index': {'Recently': [0], 'Kiryakova': [1], 'and': [2, 50], 'several': [3], 'other': [4], 'ones': [5], 'have': [6], 'investigated': [7], 'so-called': [8], 'multiindex': [9, 35], 'Mittag-Leffler': [10, 36], 'functions': [11], 'associated': [12], 'with': [13, 55], 'fractional': [14, 26], 'calculus.': [15], 'Here,': [16], 'in': [17], 'this': [18], 'paper,': [19], 'we': [20], 'aim': [21], 'at': [22], 'establishing': [23], 'a': [24], 'new': [25], 'integration': [27], 'formula': [28], '(of': [29], 'pathway': [30], 'type)': [31], 'involving': [32], 'the': [33], 'generalized': [34], 'function': [37], 'E?,k[(?j,?j)m;z].': [38], 'Some': [39], 'interesting': [40], 'special': [41], 'cases': [42], 'of': [43], 'our': [44], 'main': [45], 'result': [46], 'are': [47], 'also': [48], 'considered': [49], 'shown': [51], 'to': [52], 'be': [53], 'connected': [54], 'certain': [56], 'known': [57], 'ones.': [58]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2500436220', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 7}, {'year': 2021, 'cited_by_count': 5}, {'year': 2020, 'cited_by_count': 9}, {'year': 2019, 'cited_by_count': 11}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}], 'updated_date': '2025-01-04T07:04:49.067466', 'created_date': '2016-08-23'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
