Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.003
M. Atraoui, †. Mohamedbouaouid, †. ChanderShekhar
. In this paper, we consider a conformable fractional Cauchy problem of integro-differential equations with non local conditions in a fuzzy metric space. We first establish the existence, uniqueness and continuous dependence on initial condition of the mild solution. We then examine a special case of non local conditions.
{"title":"FUZZY CONFORMABLE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NON-LOCAL CONDITIONS","authors":"M. Atraoui, †. Mohamedbouaouid, †. ChanderShekhar","doi":"10.46753/pjaa.2022.v09i02.003","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.003","url":null,"abstract":". In this paper, we consider a conformable fractional Cauchy problem of integro-differential equations with non local conditions in a fuzzy metric space. We first establish the existence, uniqueness and continuous dependence on initial condition of the mild solution. We then examine a special case of non local conditions.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43395297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.008
{"title":"SOLVING BESSEL EQUATION OF ZERO ORDER USING WILSON WAVELETS","authors":"","doi":"10.46753/pjaa.2022.v09i02.008","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.008","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46771958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.001
{"title":"A NEW SUBCLASS OF MEROMORPHIC KUMMER FUNCTION RELATED TO HURWITZ- LERCH ZETA FUNCTION","authors":"","doi":"10.46753/pjaa.2022.v09i02.001","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.001","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43900411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.010
{"title":"AN APPLICATION OF JENSEN INEQUALITY IN STUDYING NÖRLUND SUMMABILITY OF FOURIER SERIES","authors":"","doi":"10.46753/pjaa.2022.v09i02.010","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.010","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46530273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.009
{"title":"SOFT N-TOPOLOGICAL SPACES","authors":"","doi":"10.46753/pjaa.2022.v09i02.009","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.009","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44691290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.013
{"title":"APPROXIMATION OF FIXED POINTS FOR MULTI-VALUED G-NONEXPANSIVE MAPPINGS THROUGH ULLAH ITERATION SCHEME IN UNIFORMLY CONVEX BANACH SPACES ENDOWED WITH GRAPH","authors":"","doi":"10.46753/pjaa.2022.v09i02.013","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.013","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46653170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.002
Faten Ezzine, †. Mohamedalihammami
. In this work, we characterize the partial stability of nonlinear systems via comparison functions. Further, we develop the partial stability of linear time– varying systems within Lyapunov techniques. Moreover, the indirect method of Lyapunov is also investigated to derive the local partial exponential stability. We state sufficient conditions on partial uniform exponential stability and partial practical uniform exponential stability of solutions of linear time–varying perturbed systems. Finally, an illustrative numerical example is provided.
{"title":"PARTIAL STABILITY ANALYSIS OF SOME CLASSES OF TIME–VARYING SYSTEMS","authors":"Faten Ezzine, †. Mohamedalihammami","doi":"10.46753/pjaa.2022.v09i02.002","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.002","url":null,"abstract":". In this work, we characterize the partial stability of nonlinear systems via comparison functions. Further, we develop the partial stability of linear time– varying systems within Lyapunov techniques. Moreover, the indirect method of Lyapunov is also investigated to derive the local partial exponential stability. We state sufficient conditions on partial uniform exponential stability and partial practical uniform exponential stability of solutions of linear time–varying perturbed systems. Finally, an illustrative numerical example is provided.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45655482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.005
A. Tanuja, S. Datta
. The Nevanlinna theory of value distribution is used to investigate the existence of a meromorphic solution to a general system of q-shift complex differential-difference equations whose coefficients are small functions of the meromorphic function. Several limiting cases are reported in the study and an example is given to complement our result. A note is added about problems for which the method does not work.
{"title":"NEVANLINNA METHOD OF OBTAINING SOLUTION OF A SYSTEM OF q-SHIFT COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS","authors":"A. Tanuja, S. Datta","doi":"10.46753/pjaa.2022.v09i02.005","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.005","url":null,"abstract":". The Nevanlinna theory of value distribution is used to investigate the existence of a meromorphic solution to a general system of q-shift complex differential-difference equations whose coefficients are small functions of the meromorphic function. Several limiting cases are reported in the study and an example is given to complement our result. A note is added about problems for which the method does not work.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44474817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-31DOI: 10.46753/pjaa.2022.v09i02.007
A. Kareem, †. Wanas, Hussein Kadhim Radhi, †. MuratÇağlar
. In this research paper, we introduce and study two new families Z Σ ( θ,η,ϕ,t ; α ) and Z ∗ Σ ( θ,η,ϕ,t ; β ) of normalized holomorphic and bi-univalent functions which involve the Sakaguchi type Bazilevič functions and Sakaguchi type ϕ -pseudo-starlike functions. We establish the bounds for the initial Taylor-Maclaurin coefficients | a 2 | and | a 3 | for functions in each of these new families. Further, certain several special cases and consequences for our results are also pointed.
{"title":"COEFFICIENT BOUNDS FOR NEW FAMILIES OF BAZILEVIČ AND ϕ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS","authors":"A. Kareem, †. Wanas, Hussein Kadhim Radhi, †. MuratÇağlar","doi":"10.46753/pjaa.2022.v09i02.007","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i02.007","url":null,"abstract":". In this research paper, we introduce and study two new families Z Σ ( θ,η,ϕ,t ; α ) and Z ∗ Σ ( θ,η,ϕ,t ; β ) of normalized holomorphic and bi-univalent functions which involve the Sakaguchi type Bazilevič functions and Sakaguchi type ϕ -pseudo-starlike functions. We establish the bounds for the initial Taylor-Maclaurin coefficients | a 2 | and | a 3 | for functions in each of these new families. Further, certain several special cases and consequences for our results are also pointed.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42254913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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