J. Vanterler da C. Sousa , Lamine Mbarki , H. Jafari
{"title":"分数微分方程双相问题的结果","authors":"J. Vanterler da C. Sousa , Lamine Mbarki , H. Jafari","doi":"10.1016/j.cnsns.2024.108393","DOIUrl":null,"url":null,"abstract":"<div><div>In this manuscript, our main focus is present on the existence and multiplicity results concerning a new set of fractional differential equations with double phase problem in the <span><math><mi>ψ</mi></math></span>-fractional space, <span><math><mrow><msubsup><mrow><mi>S</mi></mrow><mrow><mi>H</mi></mrow><mrow><mi>α</mi><mo>,</mo><mi>β</mi><mo>;</mo><mi>ψ</mi></mrow></msubsup><mrow><mo>(</mo><mi>Ω</mi><mo>)</mo></mrow></mrow></math></span>. We also, we discuss a property for the double phase operator <span><math><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>ψ</mi></mrow><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow></msubsup><mrow><mo>(</mo><mi>⋅</mi><mo>)</mo></mrow></mrow></math></span> and make some comments on the results obtained by the parameters <span><math><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow></math></span> and the function <span><math><mrow><mi>ψ</mi><mrow><mo>(</mo><mi>⋅</mi><mo>)</mo></mrow></mrow></math></span>.</div></div>","PeriodicalId":3,"journal":{"name":"ACS Applied Electronic Materials","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Results for double phase problem with fractional differential equations\",\"authors\":\"J. Vanterler da C. Sousa , Lamine Mbarki , H. Jafari\",\"doi\":\"10.1016/j.cnsns.2024.108393\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this manuscript, our main focus is present on the existence and multiplicity results concerning a new set of fractional differential equations with double phase problem in the <span><math><mi>ψ</mi></math></span>-fractional space, <span><math><mrow><msubsup><mrow><mi>S</mi></mrow><mrow><mi>H</mi></mrow><mrow><mi>α</mi><mo>,</mo><mi>β</mi><mo>;</mo><mi>ψ</mi></mrow></msubsup><mrow><mo>(</mo><mi>Ω</mi><mo>)</mo></mrow></mrow></math></span>. We also, we discuss a property for the double phase operator <span><math><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>ψ</mi></mrow><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow></msubsup><mrow><mo>(</mo><mi>⋅</mi><mo>)</mo></mrow></mrow></math></span> and make some comments on the results obtained by the parameters <span><math><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow></math></span> and the function <span><math><mrow><mi>ψ</mi><mrow><mo>(</mo><mi>⋅</mi><mo>)</mo></mrow></mrow></math></span>.</div></div>\",\"PeriodicalId\":3,\"journal\":{\"name\":\"ACS Applied Electronic Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.3000,\"publicationDate\":\"2024-10-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Electronic Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1007570424005781\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Electronic Materials","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570424005781","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Results for double phase problem with fractional differential equations
In this manuscript, our main focus is present on the existence and multiplicity results concerning a new set of fractional differential equations with double phase problem in the -fractional space, . We also, we discuss a property for the double phase operator and make some comments on the results obtained by the parameters and the function .