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Thèmes de recherche
My areas of research in Applied Mathematics include Partial Differential Equations, Time Fractional Partial Differential Equations, and Control Theory. My main goal in studying these subjects is to use them for modeling environmental phenomena in order to control them. More precisely, I am interested in studying models with incomplete data obtained while describing such a phenomenon, and particularly, the development of methods enable to control them.
However, I also work on abstract differential and time fractional differential equations on Banach space and on time scales. More precisely, I am interested in the study of the asymptotic behavior of solutions in finite and infinite dimensions.
Publications (29)
Article dans des revues
QUASI-REVERSIBILITY METHODS OF OPTIMAL CONTROL FOR ILL-POSED FINAL VALUE DIFFUSION EQUATIONS. Gisèle Mophou, Mahamadi Warma. QUASI-REVERSIBILITY METHODS OF OPTIMAL CONTROL FOR ILL-POSED FINAL VALUE DIFFUSION EQUATIONS. Journal of Mathematical Analysis and Applications, In press. ⟨hal-03750342⟩
Optimal Control Of Mixed Local-Nonlocal Parabolic Pde With Singular Boundary-Exterior Data. Jean-Daniel Djida, Gisèle Mophou, Mahamadi Warma. Optimal Control Of Mixed Local-Nonlocal Parabolic Pde With Singular Boundary-Exterior Data. Evolution Equations and Control Theory, In press. ⟨hal-03589791⟩
A model for brucellosis disease incorporating age of infection and waning immunity. Cyrille KENNE, Gisèle Mophou, René Dorville, Pascal Zongo. A model for brucellosis disease incorporating age of infection and waning immunity. Mathematics , 2022. ⟨hal-03552631⟩
Optimal Control Problems Of Parabolic Fractional Sturm-Liouville Equations In A Star Graph. Günter Leugering, Gisèle Mophou, Maryse Moutamal, Mahamadi Warma. Optimal Control Problems Of Parabolic Fractional Sturm-Liouville Equations In A Star Graph. Mathematical Control and Related Fields, In press. ⟨hal-03592801⟩
Article dans des revues
An age-structured model for Tilapia Lake Virus transmission in freshwater with vertical and horizontal transmission. Cyrille KENNE, René Dorville, Gisèle Mophou, Pascal Zongo. An age-structured model for Tilapia Lake Virus transmission in freshwater with vertical and horizontal transmission. Bulletin of Mathematical Biology, In press. ⟨hal-03266563⟩
Article dans des revues
OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE. Cyrille KENNE, Günter Leugering, Gisèle Mophou. OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE. SIAM Journal on Control and Optimization, In press. ⟨hal-02093551⟩
On the stability and stabilization of some semilinear fractional differential equations in Banach Spaces. R G Foko Tiomela, F Norouzi, G M N'Guérékata, Gisèle Mophou. On the stability and stabilization of some semilinear fractional differential equations in Banach Spaces. Fractional Differential Calculus, 2020, 10 (2), pp.267-290. ⟨hal-02937262v2⟩
On the existence of C (n) -almost automorphic mild solutions of certain differential equations in Banach spaces. Gaston M N'Guérékata, Gisèle Mophou. On the existence of C (n) -almost automorphic mild solutions of certain differential equations in Banach spaces. Communications in Contemporary Mathematics, In press. ⟨hal-02547996⟩
Optimal control of a fractional Sturm-Liouville problem on a star graph. Gisèle Mophou, Pasquini Soh Fotsing, Günter Leugering. Optimal control of a fractional Sturm-Liouville problem on a star graph. Optimization, 2020. ⟨hal-02417891⟩
Robust hierarchic control for a population dynamics model with missing birth rate. Gisèle Mophou, M Kéré, L L Djomegne Njoukoue. Robust hierarchic control for a population dynamics model with missing birth rate. Mathematics of Control, Signals, and Systems, 2020. ⟨hal-02552534⟩
AN EXISTENCE RESULT OF (ω,C)-PERIODIC MILD SOLUTIONS TO SOME FRACTIONAL DIFFERENTIAL EQUATION. Gisèle Mophou, Gaston M N'Guérékata. AN EXISTENCE RESULT OF (ω,C)-PERIODIC MILD SOLUTIONS TO SOME FRACTIONAL DIFFERENTIAL EQUATION. Nonlinear Studies, In press. ⟨hal-02548014⟩
A model of covid-19 transmission to understand the effectiveness of the containment measures: application to data from France. Pascal Zongo, Malicki Zorom, Gisèle Mophou, René Dorville, Catherine Beaumont. A model of covid-19 transmission to understand the effectiveness of the containment measures: application to data from France. Epidemiology and Infection, 2020, 148, pp.e221. ⟨10.1017/S0950268820002162⟩. ⟨hal-02612825v2⟩
Hierarchic control of a linear heat equation with missing data. Gisèle Mophou, Romario Gildas Foko Tiomela, Gaston Mandata N'Guérékata. Hierarchic control of a linear heat equation with missing data. Mathematical Methods in the Applied Sciences, 2020, 43, pp.6476-6497. ⟨hal-02463750⟩
Chapitres d'ouvrages scientifiques
Stackelberg control with constraints on the state for a linear backward heat equation. L L Djomegne Njoukoue, Gisèle Mophou, G Deugoue. Stackelberg control with constraints on the state for a linear backward heat equation. Advance in Evolution Equations, Evolutionary Processes and Applications, 2019, : Advances in Evolution Equations, 978-1-53616-350-6. ⟨hal-02548103⟩
Article dans des revues
OPTIMAL CONTROL OF DIFFUSION EQUATION WITH FRACTIONAL TIME DERIVATIVE WITH NONLOCAL AND NONSINGULAR MITTAG-LEFFLER KERNEL. J D Djida, Gisèle Mophou, I Area. OPTIMAL CONTROL OF DIFFUSION EQUATION WITH FRACTIONAL TIME DERIVATIVE WITH NONLOCAL AND NONSINGULAR MITTAG-LEFFLER KERNEL. Journal of Optimization Theory and Applications, 2018, 182 (2), pp.540-557. ⟨10.1007/s10957-018-1305-6⟩. ⟨hal-02418470⟩
Null controllability of Salmonella spread within an industrial hen house. Gisèle Mophou, Pascal Zongo, René Dorville. Null controllability of Salmonella spread within an industrial hen house. Applied Mathematical Modelling, In press. ⟨hal-01683267v2⟩
Optimal control of averaged state of a parabolic equation with missing boundary condition. Gisèle Mophou, Romario Gildas Foko Tiomela, Ali Seibou. Optimal control of averaged state of a parabolic equation with missing boundary condition. International Journal of Control, 2018. ⟨hal-01857372⟩
Article dans des revues
Tax evasion, tax corruption and stochastic growth. Fred Célimène, Gilles Dufrénot, Gisèle Mophou, Gaston M. N'Guérékata. N'Guérékata. Tax evasion, tax corruption and stochastic growth. Economic Modelling, 2016, Special Issue on Recent Developments in Decision-Making, Monetary Policy and Financial Markets, 52 (Part A), pp.251--258. ⟨10.1016/j.econmod.2014.10.055⟩. ⟨hal-01447874⟩
Low-regret control for a fractional wave equation with incomplete data. Dumitru Baleanu, Claire JOSEPH, Gisèle Mophou. Low-regret control for a fractional wave equation with incomplete data. Advances in Difference Equations, 2016, ⟨10.1186/s13662-016-0970-8⟩. ⟨hal-02548520⟩
OPTIMAL CONTROL WITH FINAL OBSERVATION OF A FRACTIONAL DIFFUSION WAVE EQUATION. Gisèle Mophou, Claire JOSEPH. Joseph. OPTIMAL CONTROL WITH FINAL OBSERVATION OF A FRACTIONAL DIFFUSION WAVE EQUATION. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 2016. ⟨hal-02548503⟩
Article dans des revues
Asymptotic Behavior of Mild Solutions of Some Fractional Functional Integro-differential Equations. Gisèle Mophou, Gaston M. N'Guérékata, Vincent Valmorin. N'Guérékata, Vincent Valmorin. Asymptotic Behavior of Mild Solutions of Some Fractional Functional Integro-differential Equations. African Diaspora Journal of Mathematics, 2013, 16 (1), pp.70-81. ⟨hal-01678067⟩
Article dans des revues
Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. René Dorville, Gisèle Mophou, Vincent Valmorin. Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. Computers & Mathematics with Applications, 2011, 62 (3), pp.1472-1481. ⟨10.1016/j.camwa.2011.03.025⟩. ⟨hal-02013050⟩
Article dans des revues
Weighted pseudo almost automorphic functions and applications to abstract differential equations. Joël Blot, Gisèle Massengo Mophou, Denis Pennequin, Gaston N'Guérékata. Weighted pseudo almost automorphic functions and applications to abstract differential equations. Nonlinear Analysis: Theory, Methods and Applications, 2010, 72 (1), pp.430-438. ⟨hal-00617634⟩
Pseudo almost automorphic solutions of a neutral functional fractional differential equations. Gisèle Mophou, Gaston M. N'Guérékata, Vincent Valmorin. N'Guérékata, Vincent Valmorin. Pseudo almost automorphic solutions of a neutral functional fractional differential equations. International Journal of Evolution Equations, 2010, 4 (2), pp.249-259. ⟨hal-01678102⟩
Article dans des revues
A Split Godunov Scheme for Solving One-Dimensional Hyperbolic Systems in a Nonconservative Form. Gisèle Massengo Mophou, Pascal POULLET. A Split Godunov Scheme for Solving One-Dimensional Hyperbolic Systems in a Nonconservative Form. SIAM Journal on Numerical Analysis, 2006, 40 (1), pp.1-25. ⟨10.1137/S0036142900378637⟩. ⟨hal-00770266⟩
Communications avec actes
A numerical Godunov scheme for solving one-dimensional gas dynamics in the nonconservative form. Gisèle Massengo Mophou, Pascal POULLET. A numerical Godunov scheme for solving one-dimensional gas dynamics in the nonconservative form. The International Conference on Generalized Functions, Linear and Nonlinear Problems, 2004, Pointe-à-Pitre, Guadeloupe. pp.207-218. ⟨hal-00770274⟩
Communications avec actes
A split Godunov scheme for solving a system of elasticity in a non-conservative form. Gisèle Massengo Mophou, Pascal POULLET. A split Godunov scheme for solving a system of elasticity in a non-conservative form. Journées Jeunes numériciens, en l'honneur du 60ème anniversaire du Professeur Roger Temam, Mar 2000, Poitiers, France. ⟨hal-00770276⟩
QUASI-REVERSIBILITY METHODS OF OPTIMAL CONTROL FOR ILL-POSED FINAL VALUE DIFFUSION EQUATIONS. Gisèle Mophou, Mahamadi Warma. QUASI-REVERSIBILITY METHODS OF OPTIMAL CONTROL FOR ILL-POSED FINAL VALUE DIFFUSION EQUATIONS. Journal of Mathematical Analysis and Applications, In press. ⟨hal-03750342⟩ | |
Optimal Control Of Mixed Local-Nonlocal Parabolic Pde With Singular Boundary-Exterior Data. Jean-Daniel Djida, Gisèle Mophou, Mahamadi Warma. Optimal Control Of Mixed Local-Nonlocal Parabolic Pde With Singular Boundary-Exterior Data. Evolution Equations and Control Theory, In press. ⟨hal-03589791⟩ | |
A model for brucellosis disease incorporating age of infection and waning immunity. Cyrille KENNE, Gisèle Mophou, René Dorville, Pascal Zongo. A model for brucellosis disease incorporating age of infection and waning immunity. Mathematics , 2022. ⟨hal-03552631⟩ | |
Optimal Control Problems Of Parabolic Fractional Sturm-Liouville Equations In A Star Graph. Günter Leugering, Gisèle Mophou, Maryse Moutamal, Mahamadi Warma. Optimal Control Problems Of Parabolic Fractional Sturm-Liouville Equations In A Star Graph. Mathematical Control and Related Fields, In press. ⟨hal-03592801⟩ |
An age-structured model for Tilapia Lake Virus transmission in freshwater with vertical and horizontal transmission. Cyrille KENNE, René Dorville, Gisèle Mophou, Pascal Zongo. An age-structured model for Tilapia Lake Virus transmission in freshwater with vertical and horizontal transmission. Bulletin of Mathematical Biology, In press. ⟨hal-03266563⟩ |
OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE. Cyrille KENNE, Günter Leugering, Gisèle Mophou. OPTIMAL CONTROL OF A POPULATION DYNAMICS MODEL WITH MISSING BIRTH RATE. SIAM Journal on Control and Optimization, In press. ⟨hal-02093551⟩ | |
On the stability and stabilization of some semilinear fractional differential equations in Banach Spaces. R G Foko Tiomela, F Norouzi, G M N'Guérékata, Gisèle Mophou. On the stability and stabilization of some semilinear fractional differential equations in Banach Spaces. Fractional Differential Calculus, 2020, 10 (2), pp.267-290. ⟨hal-02937262v2⟩ | |
On the existence of C (n) -almost automorphic mild solutions of certain differential equations in Banach spaces. Gaston M N'Guérékata, Gisèle Mophou. On the existence of C (n) -almost automorphic mild solutions of certain differential equations in Banach spaces. Communications in Contemporary Mathematics, In press. ⟨hal-02547996⟩ | |
Optimal control of a fractional Sturm-Liouville problem on a star graph. Gisèle Mophou, Pasquini Soh Fotsing, Günter Leugering. Optimal control of a fractional Sturm-Liouville problem on a star graph. Optimization, 2020. ⟨hal-02417891⟩ | |
Robust hierarchic control for a population dynamics model with missing birth rate. Gisèle Mophou, M Kéré, L L Djomegne Njoukoue. Robust hierarchic control for a population dynamics model with missing birth rate. Mathematics of Control, Signals, and Systems, 2020. ⟨hal-02552534⟩ | |
AN EXISTENCE RESULT OF (ω,C)-PERIODIC MILD SOLUTIONS TO SOME FRACTIONAL DIFFERENTIAL EQUATION. Gisèle Mophou, Gaston M N'Guérékata. AN EXISTENCE RESULT OF (ω,C)-PERIODIC MILD SOLUTIONS TO SOME FRACTIONAL DIFFERENTIAL EQUATION. Nonlinear Studies, In press. ⟨hal-02548014⟩ | |
A model of covid-19 transmission to understand the effectiveness of the containment measures: application to data from France. Pascal Zongo, Malicki Zorom, Gisèle Mophou, René Dorville, Catherine Beaumont. A model of covid-19 transmission to understand the effectiveness of the containment measures: application to data from France. Epidemiology and Infection, 2020, 148, pp.e221. ⟨10.1017/S0950268820002162⟩. ⟨hal-02612825v2⟩ | |
Hierarchic control of a linear heat equation with missing data. Gisèle Mophou, Romario Gildas Foko Tiomela, Gaston Mandata N'Guérékata. Hierarchic control of a linear heat equation with missing data. Mathematical Methods in the Applied Sciences, 2020, 43, pp.6476-6497. ⟨hal-02463750⟩ |
Stackelberg control with constraints on the state for a linear backward heat equation. L L Djomegne Njoukoue, Gisèle Mophou, G Deugoue. Stackelberg control with constraints on the state for a linear backward heat equation. Advance in Evolution Equations, Evolutionary Processes and Applications, 2019, : Advances in Evolution Equations, 978-1-53616-350-6. ⟨hal-02548103⟩ |
OPTIMAL CONTROL OF DIFFUSION EQUATION WITH FRACTIONAL TIME DERIVATIVE WITH NONLOCAL AND NONSINGULAR MITTAG-LEFFLER KERNEL. J D Djida, Gisèle Mophou, I Area. OPTIMAL CONTROL OF DIFFUSION EQUATION WITH FRACTIONAL TIME DERIVATIVE WITH NONLOCAL AND NONSINGULAR MITTAG-LEFFLER KERNEL. Journal of Optimization Theory and Applications, 2018, 182 (2), pp.540-557. ⟨10.1007/s10957-018-1305-6⟩. ⟨hal-02418470⟩ | |
Null controllability of Salmonella spread within an industrial hen house. Gisèle Mophou, Pascal Zongo, René Dorville. Null controllability of Salmonella spread within an industrial hen house. Applied Mathematical Modelling, In press. ⟨hal-01683267v2⟩ | |
Optimal control of averaged state of a parabolic equation with missing boundary condition. Gisèle Mophou, Romario Gildas Foko Tiomela, Ali Seibou. Optimal control of averaged state of a parabolic equation with missing boundary condition. International Journal of Control, 2018. ⟨hal-01857372⟩ |
Tax evasion, tax corruption and stochastic growth. Fred Célimène, Gilles Dufrénot, Gisèle Mophou, Gaston M. N'Guérékata. N'Guérékata. Tax evasion, tax corruption and stochastic growth. Economic Modelling, 2016, Special Issue on Recent Developments in Decision-Making, Monetary Policy and Financial Markets, 52 (Part A), pp.251--258. ⟨10.1016/j.econmod.2014.10.055⟩. ⟨hal-01447874⟩ | |
Low-regret control for a fractional wave equation with incomplete data. Dumitru Baleanu, Claire JOSEPH, Gisèle Mophou. Low-regret control for a fractional wave equation with incomplete data. Advances in Difference Equations, 2016, ⟨10.1186/s13662-016-0970-8⟩. ⟨hal-02548520⟩ | |
OPTIMAL CONTROL WITH FINAL OBSERVATION OF A FRACTIONAL DIFFUSION WAVE EQUATION. Gisèle Mophou, Claire JOSEPH. Joseph. OPTIMAL CONTROL WITH FINAL OBSERVATION OF A FRACTIONAL DIFFUSION WAVE EQUATION. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 2016. ⟨hal-02548503⟩ |
Asymptotic Behavior of Mild Solutions of Some Fractional Functional Integro-differential Equations. Gisèle Mophou, Gaston M. N'Guérékata, Vincent Valmorin. N'Guérékata, Vincent Valmorin. Asymptotic Behavior of Mild Solutions of Some Fractional Functional Integro-differential Equations. African Diaspora Journal of Mathematics, 2013, 16 (1), pp.70-81. ⟨hal-01678067⟩ |
Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. René Dorville, Gisèle Mophou, Vincent Valmorin. Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. Computers & Mathematics with Applications, 2011, 62 (3), pp.1472-1481. ⟨10.1016/j.camwa.2011.03.025⟩. ⟨hal-02013050⟩ |
Weighted pseudo almost automorphic functions and applications to abstract differential equations. Joël Blot, Gisèle Massengo Mophou, Denis Pennequin, Gaston N'Guérékata. Weighted pseudo almost automorphic functions and applications to abstract differential equations. Nonlinear Analysis: Theory, Methods and Applications, 2010, 72 (1), pp.430-438. ⟨hal-00617634⟩ | |
Pseudo almost automorphic solutions of a neutral functional fractional differential equations. Gisèle Mophou, Gaston M. N'Guérékata, Vincent Valmorin. N'Guérékata, Vincent Valmorin. Pseudo almost automorphic solutions of a neutral functional fractional differential equations. International Journal of Evolution Equations, 2010, 4 (2), pp.249-259. ⟨hal-01678102⟩ |
A Split Godunov Scheme for Solving One-Dimensional Hyperbolic Systems in a Nonconservative Form. Gisèle Massengo Mophou, Pascal POULLET. A Split Godunov Scheme for Solving One-Dimensional Hyperbolic Systems in a Nonconservative Form. SIAM Journal on Numerical Analysis, 2006, 40 (1), pp.1-25. ⟨10.1137/S0036142900378637⟩. ⟨hal-00770266⟩ |
A numerical Godunov scheme for solving one-dimensional gas dynamics in the nonconservative form. Gisèle Massengo Mophou, Pascal POULLET. A numerical Godunov scheme for solving one-dimensional gas dynamics in the nonconservative form. The International Conference on Generalized Functions, Linear and Nonlinear Problems, 2004, Pointe-à-Pitre, Guadeloupe. pp.207-218. ⟨hal-00770274⟩ |
A split Godunov scheme for solving a system of elasticity in a non-conservative form. Gisèle Massengo Mophou, Pascal POULLET. A split Godunov scheme for solving a system of elasticity in a non-conservative form. Journées Jeunes numériciens, en l'honneur du 60ème anniversaire du Professeur Roger Temam, Mar 2000, Poitiers, France. ⟨hal-00770276⟩ |