Publications

A short description of my research interests can be found under the header Research.

Preprints

  1. Subordination principle for a class of fractional differential equation with general analytic kernels, with Arran Fernandez and Christian Maxime Steve Oumarou preprint (In preparation)
  2. Relaxed shape optimization for the fractional Dirichlet problem, preprint (In preparation)
  3. Shape reconstruction problem with the fractional Laplacian operator, preprint (In preparation)
  4. Hidding regularity for fractional semilinear hyperbolic problems, preprint (In preparation)
  5. Bilinear optimal control from the exterior of fractional wave equations, with Mahamadi Warma and Gisele Mophou, preprint (In preparation)
  6. Optimal control from the exterior of mixed local and nonlocal parabolic PDE, with Mahamadi Warma and Gisele Mophou, preprint (In preparation)
  7. Approximate controllability from the exterior of viscoelastic flows equation, preprint (In preparation)
  8. On existence and uniqueness of solutions for strong damping fractional semilinear wave equations, preprint (submitted)
  9. Time-optimal control of the Bagley-Torvik problem, preprint (submitted)
  10. Fractional differential relations for the Lerch Zeta function, with Arran Fernandez, Arxiv preprint (submitted)
  11. Optimal control of diffusion equation with missing data governed by Dirichlet fractional Laplacian, with Gisele Mophou, Arxiv preprint (submitted)
  12. Supplementary data is available here.

Articles in scientific journals

  1. Well-posedness results for fractional semi-linear wave equations, with Arran Fernandez and Iván Area, Discrete and Continuous Dynamical Systems, Ser.B (2020)
  2. Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel, with Juan Jose Nieto and Iván Area, Discrete and Continuous Dynamical Systems, Ser.S (2020)
  3. Nonlocal Time-Porous Medium Equation: Weak Solutions and Finite Speed of Propagation, with Juan Jose Nieto and Iván Area, Discrete and Continuous Dynamical Systems, Ser.B (2019)
  4. Nonlocal time porous medium equation with fractional time derivative, with Juan Jose Nieto and Iván Area, Revista Matemática Complutense (2019)
  5. Optimal control of diffusion equation with fractional-time derivative with nonlocal and nonsingular Mittag-Leffler kernel, with Gisele Mophou and Iván Area, Journal of Optimization Theory and Applications (2019)
  6. A New Model of Groundwater Flow Within an Unconfined Aquifer: Application of Caputo-Fabrizio Fractional Derivative, with Pierre Aime Feulefack and Abdon Atangana, Discrete and Continuous Dynamical Systems, Ser.B (2019)
  7. Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions, with Arran Fernandez, Axioms (2018)
  8. More generalized groundwater model with space-time Caputo Fabrizio fractional differentiation, with Abdon Atangana, Numer. Methods Partial Differential Eq. (2017)
  9. Modeling the movement of groundwater pollution with variable order derivative, with Sedrik.N.Kameni and Abdon Atangana, J. Nonlinear Sci. Appl. (2017)
  10. Numerical computation of a fractional derivative with non-local and non-singular kernel, with Iván Area and Abdon Atangana, Math. Model. Nat. Phenom. (2017)
  11. On Fractional Gram Orthogonal Polynomials, with Iván Area, Jorge Losada and Juan Jose Nieto, Discrete Dynamics in Nature and Society (2015)
  12. Change detection in the dynamics of an intracellular protein synthesis model using nonlinear Kalman filtering, with Gerasimos G Rigatos and Efthymia G Rigatou, Math Biosci Eng. (2015)
  13. Detection of parametric changes in the Peyrard-Bishop-Dauxois model of DNA using nonlinear Kalman filtering, with Gerasimos G Rigatos and Efthymia G Rigatou, Journal of Biological Physics (2015)

Articles in proceedings and thesis

  1. Wellposedness and boundary regularity for nonlocal parabolic problem with fractional derivative, (Accepted) (2019)
  2. A De Giorgi-Nash type theorem for nonlocal time porous medium equations, (Accepted) (2019)

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