{"id":"https://openalex.org/W2979306515","doi":"https://doi.org/10.1007/s40314-019-0943-0","title":"Generalized least square homotopy perturbation solution of fractional telegraph equations","display_name":"Generalized least square homotopy perturbation solution of fractional telegraph equations","publication_year":2019,"publication_date":"2019-10-09","ids":{"openalex":"https://openalex.org/W2979306515","doi":"https://doi.org/10.1007/s40314-019-0943-0","mag":"2979306515"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-019-0943-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-019-0943-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","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/A5089957018","display_name":"Rakesh Kumar","orcid":"https://orcid.org/0000-0003-0376-2273"},"institutions":[{"id":"https://openalex.org/I180952551","display_name":"Central University of Himachal Pradesh","ror":"https://ror.org/04v5nzb91","country_code":"IN","type":"education","lineage":["https://openalex.org/I180952551"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rakesh Kumar","raw_affiliation_strings":["Department of Mathematics, Central University of Himachal Pradesh, Dharamshala, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central University of Himachal Pradesh, Dharamshala, India","institution_ids":["https://openalex.org/I180952551"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088390751","display_name":"Reena Koundal","orcid":null},"institutions":[{"id":"https://openalex.org/I180952551","display_name":"Central University of Himachal Pradesh","ror":"https://ror.org/04v5nzb91","country_code":"IN","type":"education","lineage":["https://openalex.org/I180952551"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Reena Koundal","raw_affiliation_strings":["Department of Mathematics, Central University of Himachal Pradesh, Dharamshala, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central University of Himachal Pradesh, Dharamshala, India","institution_ids":["https://openalex.org/I180952551"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101405241","display_name":"S. A. Shehzad","orcid":"https://orcid.org/0000-0001-5128-446X"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Sabir Ali Shehzad","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Sahiwal, 57000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Sahiwal, 57000, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101405241"],"corresponding_institution_ids":["https://openalex.org/I16076960"],"apc_list":null,"apc_paid":null,"fwci":0.6778,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.68689208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"38","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9909999966621399,"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"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9470999836921692,"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/mathematics","display_name":"Mathematics","score":0.8031338453292847},{"id":"https://openalex.org/keywords/homotopy-perturbation-method","display_name":"Homotopy perturbation method","score":0.7513115406036377},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.7355468273162842},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.6310691237449646},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6012012362480164},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.564906120300293},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5089263916015625},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.507262647151947},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4816685914993286},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.43930405378341675},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23789912462234497},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11182144284248352},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.056170523166656494}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8031338453292847},{"id":"https://openalex.org/C91328119","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy perturbation method","level":3,"score":0.7513115406036377},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7355468273162842},{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.6310691237449646},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6012012362480164},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.564906120300293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5089263916015625},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.507262647151947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4816685914993286},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.43930405378341675},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23789912462234497},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11182144284248352},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.056170523166656494},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-019-0943-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-019-0943-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W326189547","https://openalex.org/W433794350","https://openalex.org/W1530054495","https://openalex.org/W1553338987","https://openalex.org/W1584611818","https://openalex.org/W1966675876","https://openalex.org/W1972478479","https://openalex.org/W1988892282","https://openalex.org/W1989361711","https://openalex.org/W1994128207","https://openalex.org/W1994324820","https://openalex.org/W2021967585","https://openalex.org/W2046065666","https://openalex.org/W2047623457","https://openalex.org/W2057431970","https://openalex.org/W2057768486","https://openalex.org/W2061498519","https://openalex.org/W2062479235","https://openalex.org/W2065685184","https://openalex.org/W2076985438","https://openalex.org/W2086737859","https://openalex.org/W2090309268","https://openalex.org/W2114830450","https://openalex.org/W2123257017","https://openalex.org/W2134603324","https://openalex.org/W2526327195","https://openalex.org/W2549139072","https://openalex.org/W2549752592","https://openalex.org/W2593877669","https://openalex.org/W2608540054","https://openalex.org/W2787959293","https://openalex.org/W2904329241","https://openalex.org/W2922135896","https://openalex.org/W4301223505"],"related_works":["https://openalex.org/W2088506180","https://openalex.org/W2362256999","https://openalex.org/W2188605998","https://openalex.org/W2087729225","https://openalex.org/W2470744056","https://openalex.org/W1964997874","https://openalex.org/W1545358442","https://openalex.org/W4239956528","https://openalex.org/W2040041204","https://openalex.org/W1497843313"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}