Germain Kabore, Bakari Abbo, Windjiré Some, Ousséni So, B. Somé
{"title":"SOLVING A FRACTIONAL EVOLUTION EQUATION IN THE SENSE OF CAPUTO-HADAMARD WITH CAUCHY AND BOUNDARY CONDITIONS BY SBA METHOD","authors":"Germain Kabore, Bakari Abbo, Windjiré Some, Ousséni So, B. Somé","doi":"10.17654/0974324324001","DOIUrl":"https://doi.org/10.17654/0974324324001","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"4 11","pages":""},"PeriodicalIF":0.1,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139446762","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}
{"title":"AN INTEGRO-DIFFERENTIAL EQUATION IN COMPOUND POISSON RISK MODEL WITH VARIABLE THRESHOLD DIVIDEND PAYMENT STRATEGY TO SHAREHOLDERS AND TAIL DEPENDENCE BETWEEN CLAIMS AMOUNTS AND INTER-CLAIM TIME","authors":"Kiswendsida Mahamoudou Ouedraogo, Delwendé Abdoul-Kabir Kafando, Francois Xavier Ouedraogo, Lassané Sawadogo, Pierre Clovis Nitiéma","doi":"10.17654/0974324323023","DOIUrl":"https://doi.org/10.17654/0974324323023","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"122 24","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138607204","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}
Abdoul Karim Drabo, Frédéric Bere, Sibiri Narcisse Dolemweogo, S. P. C. Nitiema
{"title":"A STOCHASTIC MODEL FOR THE SPREAD OF HUMAN PLASMODIA","authors":"Abdoul Karim Drabo, Frédéric Bere, Sibiri Narcisse Dolemweogo, S. P. C. Nitiema","doi":"10.17654/0974324323020","DOIUrl":"https://doi.org/10.17654/0974324323020","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":" 26","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139197924","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}
Ouédraogo Mamadou, Lamien Kassiénou, Soma Mifiamba, SO Ousséni
{"title":"NUMERICAL SIMULATION OF ROSENAU-KORTEWEG-DE VRIES REGULARIZED LONG WAVE EQUATION WITH FLUX LIMITERS METHOD","authors":"Ouédraogo Mamadou, Lamien Kassiénou, Soma Mifiamba, SO Ousséni","doi":"10.17654/0974324323018","DOIUrl":"https://doi.org/10.17654/0974324323018","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"38 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139199061","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}
{"title":"PICARD’S METHOD OF SUCCESSIVE APPROXIMATION FOR FRACTIONAL ORDER INITIAL VALUE PROBLEM","authors":"Jag Mohan, Anju Sood","doi":"10.17654/0974324323019","DOIUrl":"https://doi.org/10.17654/0974324323019","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"33 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139208779","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}
{"title":"SIMULATION OF TWO-STEP ORDER 2 IMPLICIT STRONG METHOD FOR APPROXIMATING STRATONOVICH STOCHASTIC DIFFERENTIAL EQUATIONS","authors":"Yazid Alhojilan","doi":"10.17654/0974324323021","DOIUrl":"https://doi.org/10.17654/0974324323021","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139208761","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}
{"title":"HOPF BIFURCATION OF A DIFFUSIVE PREDATOR-PREY SYSTEM WITH NONLOCAL INTRASPECIFIC COMPETITION","authors":"Haomin Wu, Zhaoyan Shi, Ming Liu","doi":"10.17654/0974324323022","DOIUrl":"https://doi.org/10.17654/0974324323022","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"51 11","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139206197","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}
Wan Noor Afifah Wan Ahmad, Suliadi Firdaus Sufahani, Mahmod Abd Hakim Mohamad, Mohd Saifullah Rusiman, Mohd Zulariffin Md Maarof, Muhamad Ali Imran Kamarudin
{"title":"NON-CLASSICAL OPTIMAL CONTROL PROBLEM: A CASE STUDY FOR CONTINUOUS APPROXIMATION OF FOUR-STEPWISE FUNCTION","authors":"Wan Noor Afifah Wan Ahmad, Suliadi Firdaus Sufahani, Mahmod Abd Hakim Mohamad, Mohd Saifullah Rusiman, Mohd Zulariffin Md Maarof, Muhamad Ali Imran Kamarudin","doi":"10.17654/0974324323017","DOIUrl":"https://doi.org/10.17654/0974324323017","url":null,"abstract":"The numerical properties of a contemporary optimal control problem (OCP) within the realm of financial aspects deviate from the conventional OCP framework. In our specific scenario, the final state condition is unknown, while the integrand exhibits a piecewise capacity that aligns with the unknown terminal state value. Since this is not a classical OCP, it cannot be solved using Pontryagin’s maximum approach under the expected end limit conditions. A free final state in the non-classical issue results in a critical limit condition of the final shadow value not being equal to zero. The new fundamental condition must be comparable to a particular necessary condition because the integrand is a part of the unidentified final state value. By employing the hyperbolic tangent (tanh) function, we showcase a continuous approximation of the piecewise constant integrand function. Furthermore, we tackle a specific scenario utilizing the shooting method in C++ programming language. This is by combining the Newton and Golden Section Search methods in the shooting technique to calculate the limiting free final state value in an external circle emphasis. Discretization methods such as Euler and Runge-Kutta approximations were used in the validation procedure. The program was constructed in AMPL programming language with MINOS solver. Received: July 11, 2023Accepted: August 19, 2023","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136153814","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}
{"title":"THE INVERSE LAPLACE TRANSFORM OF SOME COMPLEX EXPRESSIONS ARISING IN SOLAR ENERGY MODELS","authors":"Abdelhalim Ebaid, Amjad A. Alsubaie","doi":"10.17654/0974324323016","DOIUrl":"https://doi.org/10.17654/0974324323016","url":null,"abstract":"Recently, many mathematical models are proposed to describe storage of solar energy. Most of these models are governed by boundary value problems (BVPs). The explicit solutions of such BVPs depend in determining the inverse Laplace transform of complex expressions. This paper overcomes some of these difficulties arising on account of this. The results can be invested to construct the analytic solutions of solar energy models and also models of other fields in engineering sciences. Received: May 15, 2023Accepted: July 1, 2023","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135153712","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}
{"title":"ANALYTICAL AND NUMERICAL APPROACHES TO SOLVE A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS FOR THE SPREAD OF DENGUE FEVER OF WITH-IN HOST MODEL","authors":"D. Maheskumar","doi":"10.17654/0974324323015","DOIUrl":"https://doi.org/10.17654/0974324323015","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48086065","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}