{"doi":"10.1115/1.4062747","title":"New Solutions of the Fractional Differential Equations With Modified Mittag-Leffler Kernel","abstract":"<jats:title>Abstract</jats:title>\n               <jats:p>This paper is concerned with some features of the modified Caputo-type Mittag-Leffler fractional derivative operator and its associated fractional integral operator. Mainly, new types of solutions for fractional differential equations with Mittag-Leffler kernel are generated based on a numerical algorithm developed in this paper. The suggested algorithm is used to describe the solution behavior of models involving modified Caputo-type Mittag-Leffler fractional derivatives. The results described in this paper are expected to be effectively employed in the area of simulating related fractional models.</jats:p>","journal":"Journal of Computational and Nonlinear Dynamics","year":2023,"id":23418,"datarank":0.7278308654757191,"base_score":3.332204510175204,"endowment":3.332204510175204,"self_citation_contribution":0.49983067652628066,"citation_network_contribution":0.22800018894943838,"self_endowment_contribution":0.49983067652628066,"citer_contribution":0.22800018894943838,"corpus_percentile":null,"corpus_rank":null,"citation_count":27,"citer_count":6,"citers_with_citation_signal":4,"citers_with_endowment":4,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":143857,"name":"Dumitru Baleanu","orcid":null,"position":1,"is_corresponding":false},{"id":143856,"name":"Zaid Odibat","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":3.332204510175204,"endowment":3.332204510175204,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"18998881","pmcid":null,"openalex_id":"https://openalex.org/W4380882032","authors":[],"funders":[],"total_grants":0,"fwci":5.7449,"citation_percentile":0.97006619,"influential_citations":0,"citation_trend":[{"year":2023,"count":4},{"year":2024,"count":14},{"year":2025,"count":7},{"year":2026,"count":2}],"oa_status":"closed","license":"https://www.asme.org/publications-submissions/publishing-information/legal-policies","oa_locations":[{"url":"https://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/18/9/091007/7023017/cnd_018_09_091007.pdf","host_type":"publisher"},{"url":"https://doi.org/10.1115/1.4062747","host_type":"journal"}],"fields_of_study":["Fractional Differential Equations Solutions","Nonlinear Differential Equations Analysis","Differential Equations and Numerical Methods","Mathematics"],"mesh_terms":[],"keywords":["Fractional calculus","Mittag-Leffler function","Mathematics","Kernel (algebra)","Operator (biology)","Type (biology)","Applied mathematics","Differential equation","Mathematical analysis","Pure mathematics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-07T19:25:14.566979Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}