{"doi":"10.15174/au.2015.688","title":"El cálculo diferencial e integral fraccionario y sus aplicaciones","abstract":"<jats:p>Over the last 20 years arbitrary order calculus (better known in the literature as fractional calculus) has been developed impressively. However, in Mexico there are no solid groups devoted to its study and applications. The objetive of this work is to present the origins and development of fractional calculus, in order to encourage future researchers to venture into this very interesting area of unconventional mathematical analysis. Finally, as an example, vertical motion of a particle within a medium where resistance is proportional to speed is analized.</jats:p>","journal":"Acta Universitaria","year":2015,"id":23714,"datarank":0.3585870922094731,"base_score":1.791759469228055,"endowment":1.791759469228055,"self_citation_contribution":0.26876392038420827,"citation_network_contribution":0.08982317182526485,"self_endowment_contribution":0.26876392038420827,"citer_contribution":0.08982317182526485,"corpus_percentile":null,"corpus_rank":null,"citation_count":5,"citer_count":5,"citers_with_citation_signal":2,"citers_with_endowment":2,"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":144591,"name":"M. Guía-Calderón","orcid":null,"position":1,"is_corresponding":false},{"id":144592,"name":"J. J. Rosales-García","orcid":null,"position":2,"is_corresponding":false},{"id":144593,"name":"A. González-Parada","orcid":null,"position":3,"is_corresponding":false},{"id":144594,"name":"J. A. Álvarez-Jaime","orcid":null,"position":4,"is_corresponding":false},{"id":144590,"name":"Rafael GuzmanCabrera","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":1.791759469228055,"endowment":1.791759469228055,"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/W1531637275","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.02151272,"influential_citations":0,"citation_trend":[{"year":2021,"count":1},{"year":2023,"count":1},{"year":2024,"count":2},{"year":2025,"count":1}],"oa_status":"gold","license":"cc-by-nc-nd","oa_locations":[{"url":"https://www.actauniversitaria.ugto.mx/index.php/acta/article/download/688/pdf_60","host_type":"journal"},{"url":"https://www.actauniversitaria.ugto.mx/index.php/acta/article/download/688/pdf_60","host_type":"GOLD"},{"url":"https://www.actauniversitaria.ugto.mx/index.php/acta/article/download/688/pdf_60","host_type":"publisher"},{"url":"https://www.actauniversitaria.ugto.mx/index.php/acta/article/download/688/html_62","host_type":"publisher"},{"url":"https://doi.org/10.15174/au.2015.688","host_type":"journal"}],"fields_of_study":["Fractional Differential Equations Solutions","Iterative Methods for Nonlinear Equations","Nanofluid Flow and Heat Transfer"],"mesh_terms":[],"keywords":["Fractional calculus","Differential calculus","Calculus (dental)","Mathematics","Time-scale calculus","Differential (mechanical device)","Order (exchange)","Motion (physics)","Work (physics)","Calculus of variations","Applied mathematics","Mathematical analysis","Multivariable calculus","Computer science","Engineering","Mechanical engineering","Economics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-07T20:18:54.346407Z","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":[]}