{"id":"https://openalex.org/W7139980603","doi":"https://doi.org/10.1155/ijmm/8832413","title":"A Solution of an Intuitionistic Fuzzy Time\u2010Fractional Diffusion Equation Using a Modified Explicit Finite Difference Scheme","display_name":"A Solution of an Intuitionistic Fuzzy Time\u2010Fractional Diffusion Equation Using a Modified Explicit Finite Difference Scheme","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7139980603","doi":"https://doi.org/10.1155/ijmm/8832413"},"language":"en","primary_location":{"id":"doi:10.1155/ijmm/8832413","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmm/8832413","pdf_url":null,"source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1155/ijmm/8832413","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087520793","display_name":"Hamzeh Zureigat","orcid":"https://orcid.org/0000-0002-9668-9986"},"institutions":[{"id":"https://openalex.org/I27570832","display_name":"Jadara University","ror":"https://ror.org/001drnv35","country_code":"JO","type":"education","lineage":["https://openalex.org/I27570832"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Hamzeh Zureigat","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Science ,  Jadara University ,  Irbid ,  21110 ,  Jordan ,  jadara.edu.jo"],"raw_orcid":"https://orcid.org/0000-0002-9668-9986","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Science ,  Jadara University ,  Irbid ,  21110 ,  Jordan ,  jadara.edu.jo","institution_ids":["https://openalex.org/I27570832"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068483750","display_name":"Khaled Matarneh","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139873","display_name":"Arab Open University","ror":"https://ror.org/03vfnky71","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210093932","https://openalex.org/I4210139873"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Khaled Matarneh","raw_affiliation_strings":["Faculty of Computer Studies ,  Arab Open University (AOU) ,  Riyadh ,  Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Studies ,  Arab Open University (AOU) ,  Riyadh ,  Saudi Arabia","institution_ids":["https://openalex.org/I4210139873"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042205738","display_name":"Areen Al-Khateeb","orcid":"https://orcid.org/0000-0002-7109-0643"},"institutions":[{"id":"https://openalex.org/I27570832","display_name":"Jadara University","ror":"https://ror.org/001drnv35","country_code":"JO","type":"education","lineage":["https://openalex.org/I27570832"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Areen Al-khateeb","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Science ,  Jadara University ,  Irbid ,  21110 ,  Jordan ,  jadara.edu.jo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Science ,  Jadara University ,  Irbid ,  21110 ,  Jordan ,  jadara.edu.jo","institution_ids":["https://openalex.org/I27570832"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5130266584","display_name":"Sameer Bawaneh","orcid":null},"institutions":[{"id":"https://openalex.org/I27570832","display_name":"Jadara University","ror":"https://ror.org/001drnv35","country_code":"JO","type":"education","lineage":["https://openalex.org/I27570832"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Sameer Bawaneh","raw_affiliation_strings":["Department of Computer Science ,  Faculty of Information Technology ,  Jadara University ,  Irbid ,  21110 ,  Jordan ,  jadara.edu.jo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science ,  Faculty of Information Technology ,  Jadara University ,  Irbid ,  21110 ,  Jordan ,  jadara.edu.jo","institution_ids":["https://openalex.org/I27570832"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087520793"],"corresponding_institution_ids":["https://openalex.org/I27570832"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.47920828,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2026","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.614799976348877,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.614799976348877,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.311599999666214,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.022700000554323196,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5116000175476074},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4902999997138977},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4851999878883362},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4562999904155731},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4235999882221222},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.41370001435279846},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.3662000000476837},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.36480000615119934}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8603000044822693},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5116000175476074},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4902999997138977},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4851999878883362},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4799000024795532},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4562999904155731},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4235999882221222},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.41370001435279846},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3662000000476837},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.36480000615119934},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3425000011920929},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.3343000113964081},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.3084000051021576},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.305400013923645},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C71477052","wikidata":"https://www.wikidata.org/wiki/Q458556","display_name":"Von Neumann stability analysis","level":4,"score":0.3000999987125397},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.28690001368522644},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.27129998803138733},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.25940001010894775},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.25130000710487366}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/ijmm/8832413","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmm/8832413","pdf_url":null,"source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/ijmm/8832413","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmm/8832413","pdf_url":null,"source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1603374892","https://openalex.org/W1972900338","https://openalex.org/W2031921689","https://openalex.org/W2052728710","https://openalex.org/W2072279553","https://openalex.org/W2075223383","https://openalex.org/W2079258186","https://openalex.org/W2913268983","https://openalex.org/W2997882726","https://openalex.org/W3093350578","https://openalex.org/W4367041718","https://openalex.org/W4385756500","https://openalex.org/W4395049092","https://openalex.org/W4405023036","https://openalex.org/W4405635025"],"related_works":[],"abstract_inverted_index":{"The":[0,82,95,118,153],"utilization":[1],"of":[2,84,112,121],"fuzzy":[3,47,62,78,114,130,179],"fractional":[4],"partial":[5],"differential":[6],"equations":[7],"has":[8],"turned":[9],"into":[10],"a":[11,21,135],"practical":[12],"tool":[13],"for":[14,24,74,176],"modeling":[15,25],"real\u2010life":[16],"phenomena":[17,27],"because":[18],"they":[19],"offer":[20],"compact":[22],"framework":[23],"complex":[26],"with":[28,164],"uncertainty,":[29],"providing":[30],"insights":[31],"and":[32,56,72,97,110,124,142,147],"reflecting":[33],"on":[34,106],"systems":[35],"that":[36,156],"classical":[37],"models":[38],"cannot":[39],"adequately":[40],"get.":[41],"In":[42],"this":[43],"paper,":[44],"the":[45,54,76,85,91,107,113,129,144,157,165,169],"intuitionistic":[46,61,77,115,131,178],"time\u2010fractional":[48,79,180],"diffusion":[49,80,181],"equation":[50],"is":[51,70,88,138,173],"investigated":[52],"where":[53],"parameters":[55],"variables":[57],"are":[58,100,160],"deemed":[59],"as":[60],"numbers.":[63],"A":[64],"modified":[65,171],"explicit":[66,172],"finite":[67],"difference":[68],"scheme":[69,87],"formulated":[71],"applied":[73],"solving":[75,177],"equation.":[81],"stability":[83],"proposed":[86],"discussed":[89],"using":[90],"von":[92],"Neumann":[93],"method.":[94],"nonmembership":[96],"membership":[98],"functions":[99],"employed":[101],"to":[102,128,140,148],"get":[103],"characteristic":[104],"properties":[105],"standard":[108],"r\u2010cut":[109,123],"\u03b2\u2010cut":[111,125],"numerical":[116,132,136],"solutions.":[117],"fuzzification":[119],"process":[120],"deterministic":[122],"solutions":[126],"leads":[127],"solution.":[133],"Lastly,":[134],"example":[137],"given":[139],"demonstrate":[141],"illustrate":[143],"presented":[145,170],"method":[146],"investigate":[149],"specific":[150],"related":[151],"aspects.":[152],"study":[154],"indicated":[155],"results":[158],"obtained":[159],"in":[161],"strong":[162],"agreement":[163],"theoretical":[166],"predictions.":[167],"Hence,":[168],"well":[174],"suited":[175],"equations.":[182]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-03-22T00:00:00"}
